ijece-140502292014050229202443CMV Verlagkhoffmann@cmv-verlag.comCMV VerlagNashriyyah -i Muhandisi -i Barq va Muhandisi -i Kampyutar -i Iranijece1682374512262023213MortezaSaeidHamedZeinoddini-Meymand1226202318719610.66224/ijece.31890.21.3.187http://ijece.org/fa/Article/31890http://ijece.org/fa/Article/Download/31890http://ijece.org/fa/Article/Download/31890http://ijece.org/fa/Article/Download/31890http://ijece.org/fa/Article/Download/31890http://ijece.org/fa/Article/Download/31890http://ijece.org/fa/Article/Download/31890http://ijece.org/fa/Article/Download/31890[1] CIGRE A2.49, Condition Assessment of Power Transformers, Technical Brochure CIGRE, no. 761, 2019. [2] N. A. Baka, A. Abu-Siada, S. Islam, and M. F. El-Naggar, "A new technique to measure interfacial tension of transformer oil using UV-Vis spectroscopy," IEEE Trans. on Dielectrics and Electrical Insulation, vol. 22, no. 2, pp. 1275-1282, Apr. 2015. [3] R. Soni and B. Mehta, "Diagnosis and prognosis of incipient faults and insulation status for asset management of power transformer using fuzzy logic controller & fuzzy clustering means," Electric Power Systems Research, vol. 220, Article ID: 109256, Jul. 2023. [4] W. Chen, Z. Gu, J. Zou, F. Wan, and Y. Xiang, "Analysis of furfural dissolved in transformer oil based on confocal laser Raman spectroscopy," IEEE Trans. on Dielectrics and Electrical Insulation, vol. 23, no. 2, pp. 915-921, Apr. 2016. [5] Q. Chen, W. Sun, S. Cheng, and G. Huang, "A review on a novel method for aging evaluation of transformer insulating paper based on methanol," IET Generation, Transmission & Distribution, vol. 17, no. 9, pp. 1955-1971, May 2023. [6] A. M. Abd-Elhady, M. E. Ibrahim, T. A. Taha, and M. A. Izzularab, "Effect of temperature on AC breakdown voltage of nanofilled transformer oil," IET Science, Measurement & Technology, vol. 12, no. 1, pp. 138-144, Jan. 2018. [7] A. Maher, D. E. A. Mansour, K. Helal, and R. A. Abd El Aal, "Dissolved gas analysis and dissipation factor measurement of mineral oil‐based nanofluids under thermal and electrical faults," High Voltage, vol. 8, no. 3, pp. 455-465, Jun. 2023. [8] D. Peng, D. Yang, C. Wang, and M. Li, "The influence of transformer oil aging to dielectric dissipation factor and its insulating lifetime," in Proc. Asia-Pacific Power and Energy Engineering Conf., 4 pp., Wuhan, China, 27-31 Mar. 2009. [9] S. Zandbaaf, M. R. K. Khorrami, and M. G. Afshar, "Prediction of dielectric dissipation factor by ATR-FTIR spectroscopy based on multivariate calibration methods for transformer oil samples in power industry," Infrared Physics & Technology, vol. 128, Article ID: 104528, Jan. 2023. [10] CIGRE A2.30, Moisture Equilibrium and Moisture Migration within Transformer Insulation Systems, Technical Brochure CIGRE, no. 349, 2008. [11] S. Forouhari and A. Abu-Siada, "Remnant life estimation of power transformer based on IFT and acidity number of transformer oil," in Proc. IEEE 11th Int. Conf. on the Properties and Applications of Dielectric Materials, ICPADM'15, pp. 552-555, Sydney, Australia, 19-22 Jul. 2015. [12] Y. Kittikhuntharadol, et al., "Physical and chemical properties' comparison of natural ester and palm oil used in a distribution transformer," Energy Reports, vol. 9, Sup. 1, pp. 549-556, Mar. 2023. [13] H. Zeinoddini-Meymand, S. Kamel, and B. Khan, "An efficient approach with application of linear and nonlinear models for evaluation of power transformer health index," IEEE Access, vol. 9, pp. 150172-150186, 2021. [14] E. Baker, S. V. Nese, and E. Dursun, "Hybrid condition monitoring system for power transformer fault diagnosis," Energies, vol. 16, no. 3, Article ID:. 1151, 2023. [15] S. Li, et al., "Review of condition monitoring and defect inspection methods for composited cable terminals," High Voltage, vol. 8, no. 3, pp. 431-444, Jun. 2023. [16] Y. Luo, et al., "Dynamic state evaluation method of power transformer based on Mahalanobis-Taguchi system and health index," Energies, vol. 16, no. 6, Article ID: 2765, 2023. [17] N. Islam, et al., "Power transformer health condition evaluation: a deep generative model aided intelligent framework," Electric Power Systems Research, vol. 218, Article ID: 109201, May 2023. [18] I. G. N. et al., "Application of health index method for transformer condition assessment," in Proc. IEEE Region 10 Conf., TENCON'14, 6 pp., Bangkok, Thailand, 22-25 Oct. 2014. [19] M. Augusta Martins, "Condition and risk assessment of power transformers: a general approach to calculate a health index," Ciência & Tecnologia dos Materiais, vol. 26, no. 1, pp. 9-16, Jan./Jun. 2014. [20] G. Brandtzaeg, Health Indexing of Norwegian Power Transformers, MS Thesis, NTNU, 2015. [21] A. Azmi, J. Jasni, N. Azis, and M. A. Kadir, "Evolution of transformer health index in the form of mathematical equation," Renewable and Sustainable Energy Reviews, vol. 76, pp. 687-700, Sept. 2017. [22] J. I. Aizpurua, B. G. Stewart, S. D. J. Mc Arthur, B. Lambert, J. G. Cross, and V. M. Catterson, "Improved power transformer condition monitoring under uncertainty through soft computing and probabilistic health index," Applied Soft Computing, vol. 85, Article ID: 105530, Dec. 2019. [23] H. Zeinoddini-Meymand and B. Vahidi, "Health index calculation for power transformers using technical and economical parameters," IET Science, Measurement & Technology, vol. 10, no. 7, pp. 823-830, Jun. 2016. [24] A. Dehghani Ashkezari, H. Ma, T. K. Saha, and C. Ekanayake, "Application of fuzzy support vector machine for determining the health index of the insulation system of in-service power transformers," IEEE Trans. on Dielectrics and Electrical Insulation, vol. 20, no. 3, pp. 965-973, Jun. 2013. [25] R. A. Prasojo, K. Diwyacitta, Suwarno, and H. Gumilang, "Transformer paper expected life estimation using ANFIS based on oil characteristics and dissolved gases (case study: indonesian transformers)," Energies, vol. 10, no. 8, Article ID: 1135, 2017. [26] F. R. Barbosa, et al., "Artificial neural network application in estimation of dissolved gases in insulating mineral oil from physical-chemical datas for incipient fault diagnosis," in Proc. IEEE 15th Conf. on Intelligent System Applications to Power Systems, 5 pp., Curitiba, Brazil, 8-12 Nov. 2009. [27] G. C. Jaiswal, M. S. Ballal, H. M. Surywanshi, and M. Wath, "Diagnostic approach and condition monitoring methods to boost up the reliability of transformer," in Proc. IEEE First Int.Conf. on Smart Technologies for Power, Energy and Control, STPEC'20, 5 pp., Nagpur, India, 25-26 Sept. 2020. [28] A. J. C. Trappey, C. V. Trappey, L. Ma, and J. C. M. Chang, "Intelligent engineering asset management system for power transformer maintenance decision supports under various operating conditions," Computers & Industrial Engineering, vol. 84, pp. 3-11, Jun. 2015. [29] Y. Lin, L. Yang, R. Liao, W. Sun, and Y. Zhang, "Effect of oil replacement on furfural analysis and aging assessment of power transformers," IEEE Trans. on Dielectrics and Electrical Insulation, vol. 22, no. 5, pp. 2611-2619, Oct. 2015. [30] J. Brady, T. Dürig, P. I. Lee, and J. X. Li, Polymer properties and characterization, Developing solid oral dosage forms, Academic Press, pp. 181-223, 2017. [31] T. Nakajima, K. Kajiwara, and J. E. Mclntyre, Advanced Fiber Spinning Technology, Woodhead Publishing, 1994. [32] K. Benhmed, A. Mooman, A. Younes, K. Shaban, and A. El-Hag, "Feature selection for effective health index diagnoses of power transformers," IEEE Trans. on Power Delivery, vol. 33, no. 6, pp. 3223-3226, Dec. 2018. [33] CIGRE A2.18, Guidelines for Life Management Techniques for Power Transformers, Technical Brochure, no. 227, 2002. [34] Q. Zou, J. Zhao, and J. Wen, "Robust quantile regression analysis for probabilistic modelling of SN curves," International J. of Fatigue, pt. A, vol. 167, Article ID: 107326, Feb. 2023. [35] T. Z. Keith, Multiple Regression and Beyond: An Introduction to Multiple Regression and Structural Equation Modeling, 3rd Edition, New York: Routledge, 2019. [36] A. Bouzida, et al., "Fault diagnosis in industrial induction machines through discrete wavelet transform," IEEE Trans. on Industrial Electronics, vol. 58, no. 9, pp. 4385-4395, Sept. 2011. [37] A. Abu Siada, M. Bagheri, and T. Phung, Power Transformer Condition Monitoring and Diagnosis: Chapter 3: Frequency Response Analysis, IET, United Kingdom, 2018. [38] S. A. Khan, M. D. Equbal, and T. Islam, "ANFIS based identification and location of paper insulation faults of an oil immersed transformer," in Proc. IEEE 6th Power India Int. Conf., PIICON'14, 6 pp., Delhi, India, 5-7 Dec. 2014.MehdiYousefi TabariZahraRahmaniAliVahidian KamyadSeyed JalilSadati1226202317818610.66224/ijece.40106.21.3.178http://ijece.org/fa/Article/40106http://ijece.org/fa/Article/Download/40106http://ijece.org/fa/Article/Download/40106http://ijece.org/fa/Article/Download/40106http://ijece.org/fa/Article/Download/40106http://ijece.org/fa/Article/Download/40106http://ijece.org/fa/Article/Download/40106http://ijece.org/fa/Article/Download/40106[1] M. R. Hestenes, Calculus of Variations and Optimal Control Theory, Wiley, 1966. [2] A. E. Bryson, "Optimal control-1950 to 1985," IEEE Control Systems Magazine, vol. 16, no. 3, pp. 26-33, Jun. 1996. [3] M. Jamshidi and C. Wang, "A computational algorithm for large-scale nonlinear time-delay systems," IEEE Trans. on Systems, Man, Cybernetics, vol. 14, no. 1, pp. 2-9, Jan.-Feb. 1984. [4] M. Malek-Zavarei and M. Jamshidi, Time-Delay Systems: Analysis, Optimization and Applications, Elsevier Science Inc., 1987. [5] H. J. Sussmann and J. C. Willems, "300 years of optimal control: from the brachystochrone to the maximum principle," IEEE Control Systems Magazine, vol. 17, no. 3, pp. 32-44, 1997. [6] G. Kharatishdi, "The maximum principle in the theory of optimal processes with time lags," Dokl. Akad. Nauk SSSR, vol. 136, no. 1, pp. 39-43, 1961. [7] D. Eller, J. Aggarwal, and H. Banks, "Optimal control of linear time-delay systems," IEEE Trans. on Automatic Control, vol. 14, no. 6, pp. 678-687, Dec. 1969. [8] K. Palanisamy and R. G. Prasada, "Optimal control of linear systems with delays in state and control via Walsh functions," IEE Proc. D-Control Theory and Applications, vol. 130, no. 6, pp. 300-312, Nov. 1983. [9] K. Inoue, H. Akashi, K. Ogino, and Y. Sawaragi, "Sensitivity approaches to optimization of linear systems with time delay," Automatica, vol. 7, no. 6, pp. 671-679, Nov. 1971. [10] J. Banas and A. Vacroux, "Optimal piecewise constant control of continuous time systems with time-varying delay," Automatica, vol. 6, no. 6, pp. 809-811, Nov. 1970. [11] H. R. Marzban and M. Razzaghi, "Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials," J. of the Franklin Institute, vol. 341, no. 3, pp. 279-293, May 2004. [12] L. Y. Lee, "Numerical solution of time‐delayed optimal control problems with terminal inequality constraints," Optimal Control Applications and Methods, vol. 14, no. 3, pp. 203-210, Jul./Sept. 1993. [13] ها. چهکندی نژاد، م. فرشاد و ر هاونگی، "ارائه یک روش جدید به منظور تخمین برخط تأخیر زمانی در سیستم‌های SISO-LTI با تأخیر زمانی متغیر با زمان و نامعلوم در ورودی کنترلی،" نشریه مهندسی برق و مهندسی کامپیوتر ایران، الف- مهندسی برق، سال 18، شماره 1، صص. 44-36، بهار 1399. [14] H. Marzban and S. Hoseini, "Solution of linear optimal control problems with time delay using a composite Chebyshev finite difference method," Optimal Control Applications and Methods, vol. 34, no. 3, pp. 253-274, May/Jun. 2013. [15] X. T. Wang, "Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials," Applied Mathematics, vol. 184, no. 2, pp. 849-856, 15 Jan. 2007. [16] A. Jajarmi and M. Hajipour, "An efficient finite difference method for the time‐delay optimal control problems with time‐varying delay," Asian J. of Control, vol. 19, no. 2, pp. 554-563, Mar. 2017. [17] I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Elsevier, 1998. [18] O. P. Agrawal and D. Baleanu, "A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems," J. of Vibration and Control, vol. 13, no. 9-10, pp. 1269-1281, 2007. [19] R. L. Burden, J. D. Faires, and A. Reynolds, Numerical Analysis Prindle, Weber & Schmidt, pp. 28-34, 1985. [20] H. Banks and J. Burns, "Hereditary control problems: numerical methods based on averaging approximations," SIAM J. on Control Optimization, vol. 16, no. 2, pp. 169-208, 1978. [21] A. Jajarmi and D. Baleanu, "Suboptimal control of fractional-order dynamic systems with delay argument," J. of Vibration and Control, vol. 24, no. 12, pp. 2430-2446, 2017. [22] L. Moradi, F. Mohammadi, and D. Baleanu, "A direct numerical solution of time-delay fractional optimal control problems by using Chelyshkov wavelets," J. of Vibration and Control, vol. 25, no. 2, pp. 310-324, 2019. [23] S. Sabermahani, Y. Ordokhani, and S. A. Yousefi, "Fractional-order Lagrange polynomials: an application for solving delay fractional optimal control problems," Trans. of the Institute of Measurement and Control, vol. 41, no. 11, pp. 2997-3009, 2019. [24] H. R. Marzban and F. Malakoutikhah, "Solution of delay fractional optimal control problems using a hybrid of block-pulse functions and orthonormal Taylor polynomials," J. of the Franklin Institute, vol. 356, no. 15, pp. 8182-8215, Oct. 2019. [25] N. Haddadi, Y. Ordokhani, and M. Razzaghi, "Optimal control of delay systems by using a hybrid functions approximation," J. of Optimization Theory and Applications, vol. 153, no. 2, pp. 338-356, 12 Oct. 2012. [26] K. Palanisamy, K. Balachandran, and R. Ramasamy, "Optimal control of linear time-varying delay systems via single-term Walsh series," IEE Proc. D-Control Theory and Applications, vol. 135, no. 4, pp. 332-332, Jul. 1988. [27] S. Dadebo and R. Luus, "Optimal control of time‐delay systems by dynamic programming," Optimal Control Applications and Methods, vol. 13, no. 1, pp. 29-41, Jan./Mar. 1992. [28] J. R. Ockendon and A. B. Tayler, "The dynamics of a current collection system for an electric locomotive," Proc. of the Royal Society A: Mathematical Physical Sciences, vol. 322, no. 1551, pp. 447-468, 4 May 1971. 1971. [29] F. Ghomanjani, M. H. Farahi, and A. V. Kamyad, "Numerical solution of some linear optimal control systems with pantograph delays," IMA J. of Mathematical Control and Information, vol. 32, no. 2, pp. 225-243, Jun. 2015. [30] N. Ghaderi and M. H. Farahi, "The numerical solution of some optimal control systems with constant and pantograph delays via bernstein polynomials," Iranian J. of Mathematical Sciences Informatics, vol. 15, no. 2, pp. 163-181, 2020. [31] M. Fatehi, M. Vali, and M. Samavat, "State analysis and optimal control of linear time-invariant scale systems using the legendre wavelets," Canadian J. on Automation, Control & Intelligent Systems, vol. 3, no. 1, pp. 1-7, May 2012. [32] M. Fatehi, M. Samavat, M. Vali, and F. Khaleghi, "State analysis and optimal control of linear time-invariant scaled systems using the Chebyshev wavelets," Contemporary Engineering Sciences, vol. 5, no. 2, pp. 91-105, 2012.AbdollahMirzabeigiAliKazemyMehdiRamezaniSeyed Mohammad Azimi1226202314115410.66224/ijece.40314.21.3.141http://ijece.org/fa/Article/40314http://ijece.org/fa/Article/Download/40314http://ijece.org/fa/Article/Download/40314http://ijece.org/fa/Article/Download/40314http://ijece.org/fa/Article/Download/40314http://ijece.org/fa/Article/Download/40314http://ijece.org/fa/Article/Download/40314http://ijece.org/fa/Article/Download/40314[1] L. Meng, et al., "Review on control of DC microgrids and multiple microgrid clusters," IEEE J. of Emerging and Selected Topics in Power Electronics, vol. 5, no. 3, pp. 928-948, Sept. 2017. [2] A. Bidram and A. Davoudi, "Hierarchical structure of microgrids control system," IEEE Trans. on Smart Grid, vol. 3, no. 4, pp. 1963-1976, Dec. 2012. [3] M. Chen, X. Xiao, and J. M. Guerrero, "Secondary restoration control of islanded microgrids with a decentralized event-triggered strategy," IEEE Trans. on Industrial Informatics, vol. 14, no. 9, pp. 3870-3880, Sept. 2017. [4] A. Mirzabeigi, A. Kazemy, M. Ramezani, and S. M. Azimi, "Distributed robust cooperative hierarchical control for island microgrids under hijacking attacks based on multi-agent systems," Hindawi International Trans. on Electrical Energy Systems, vol. 2023, Article ID 6622346, 15 pp., 2023. [5] ع. میرزابیگی، ع. کاظمی، م. رمضانی ، و س. م. عظیمی" طراحی کنترل کننده ثانویه پایه ریزی شده بر روی کنترل اشتراکی توزیع شده منابع تولید پراکنده (DGها) با رویکرد سیستم های چندعامله با درنظرگرفتن حملات سایبری "DoS، نشریه مهندسی برق و مهندسی کامپیوتر ایران، الف- مهندسی برق، سال 20، شماره 4، صص. 290-282، زمستان 1401. [6] H. Modares, B. Kiumarsi, F. L. Lewis, F. Ferrese, and A. Davoudi, "Resilient and robust synchronization of multiagent systems under attacks on sensors and actuators," IEEE Trans. on Cybernetics, vol. 50, no. 3, pp. 1240-1250, Mar. 2019. [7] X. M. Zhang, Q. L. Han, X. Ge, and L. Ding, "Resilient control design based on a sampled-data model for a class of networked control systems under denial-of-service attacks," IEEE Trans. on Cybernetics, vol. 50, no. 8, pp. 3616-3626, Aug. 2019. [8] A. Teixeira, D. Pérez, H. Sandberg, and K. H. Johansson, "Attack models and scenarios for networked control systems," in Proc. of the 1st Int. Conf. on High Confidence Networked Systems, HiCoNS'12, pp. 55-64, Beijing, China, 17-18 Apr. 2012. [9] E. Mousavinejad, F. Yang, Q. L. Han, and L. Vlacic, "A novel cyber attack detection method in networked control systems," IEEE Trans. on Cybernetics, vol. 48, no. 11, pp. 3254-3264, Nov. 2018. [10] S. Tan, P. Xie, J. M. Guerrero, and J. C. Vasquez, "False data injection cyber-attacks detection for multiple DC microgrid clusters," Applied Energy, vol. 310, Article ID: 118425, 15 Mar. 2022. [11] B. Wang, Q. Sun, R. Han, and D. Ma, "Consensus-based secondary frequency control under denial-of-service attacks of distributed generations for microgrids," J. of the Franklin Institute, vol. 358, no. 1, pp. 114-130, Jan. 2019. [12] M. Xie, Y. Song, and S. Shen, "Event-based consensus control for multi-agent systems against joint sensor and actuator attacks," ISA Trans., vol. 127, pp. 156-167, Aug. 2022. [13] H. Yan, J. Han, H. Zhang, X. Zhan, and Y. Wang, "Adaptive event-triggered predictive control for finite time microgrid," IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 67, no. 3, pp. 1035-1044, Mar. 2020. [14] M. Shi, X. Chen, M. Shahidehpour, Q. Zhou, and J. Wen, "Observer-based resilient integrated distributed control against cyberattacks on sensors and actuators in islanded AC microgrids," IEEE Trans. on Smart Grid, vol. 12, no. 3, pp. 1953-1963, May 2021. [15] X. Lu, X. Yu, J. Lai, J. M. Guerrero, and H. Zhou, "Distributed secondary voltage and frequency control for islanded microgrids with uncertain communication links," IEEE Trans. on Industrial Informatics, vol. 13, no. 2, pp. 448-460, Apr. 2016. [16] J. Lai, H. Zhou, X. Lu, X. Yu, and W. Hu, "Droop-based distributed cooperative control for microgrids with time-varying delays," IEEE Trans. on Smart Grid, vol. 7, no. 4, pp. 1775-1789, Jul. 2016. [17] H. Xin, Z. Qu, J. Seuss, and A. Maknouninejad, "A self-organizing strategy for power flow control of photovoltaic generators in a distribution network," IEEE Trans. on Power Systems, vol. 26, no. 3, pp. 1462-1473, Aug. 2010. [18] S. Abhinav, I. D. Schizas, F. L. Lewis, and A. Davoudi, "Distributed noise-resilient networked synchrony of active distribution systems," IEEE Trans. on Smart Grid, vol. 9, no. 2, pp. 836-846, Mar. 2016. [19] D. Ye, X. Zhao, and B. Cao, "Distributed adaptive fault‐tolerant consensus tracking of multi‐agent systems against time‐varying actuator faults," IET Control Theory & Applications, vol. 10, no. 5, pp. 554-563, Mar. 2016. [20] Y. Wang, Y. Song, and F. L. Lewis, "Robust adaptive fault-tolerant control of multiagent systems with uncertain nonidentical dynamics and undetectable actuation failures," IEEE Trans. on Industrial Electronics, vol. 62, no. 6, pp. 3978-3988, Jun. 2015. [21] S. Zuo, T. Altun, F. L. Lewis, and A. Davoudi, "Distributed resilient secondary control of DC microgrids against unbounded attacks," IEEE Trans. on Smart Grid, vol. 11, no. 5, pp. 3850-3859, Sept. 2020. [22] B. Wang, Q. Sun, and D. Ma, "A periodic event-triggering reactive power sharing control in an islanded microgrid considering DoS attacks," in Proc. 15th IEEE Conf. on Industrial Electronics and Applications, ICIEA'20, pp. 170-175, Kristiansand, Norway, 9-13 Nov. 2020. [23] R. Lu and J. Wang, "Distributed control for AC microgrids with false data injection attacks and time delays," in Proc. E3S Web of Conf., vol. 194, Article ID: 03023, 2020. [24] N. M. Dehkordi and S. Z. Moussavi, "Distributed resilient adaptive control of islanded microgrids under sensor/actuator faults," IEEE Trans. on Smart Grid, vol. 11, no. 3, pp. 2699-2708, May 2019. [25] Z. Xie and Z. Wu, "Distributed fault-tolerant secondary control for DC microgrids against false data injection attacks," International J. of Electrical Power & Energy Systems, vol. 144, Article ID: 108599, Jan. 2023. [26] A. Karimi, A. Ahmadi, Z. Shahbazi, H. Bevrani, and Q. Shafiee, "On the impact of cyber-attacks on distributed secondary control of DC microgrids," in Proc. 10th Smart Grid Conf., SGC'2020, 6 pp., Kashan, Iran, 16-17 Dec. 2020. [27] X. Chen, J. Zhou, M. Shi, Y. Chen, and J. Wen, "Distributed resilient control against denial of service attacks in DC microgrids with constant power load," Renewable and Sustainable Energy Reviews, vol. 153, Article ID: 111792, Jan. 2022. [28] N. Pogaku, M. Prodanovic, and T. C. Green, "Modeling, analysis and testing of autonomous operation of an inverter-based microgrid," IEEE Trans. on Power Electronics, vol. 22, no. 2, pp. 613-625, Mar. 2007. [29] Q. Shafiee, J. M. Guerrero, and J. C. Vasquez, "Distributed secondary control for islanded microgrids-a novel approach," IEEE Trans. on Power Electronics, vol. 29, no. 2, pp. 1018-1031, Feb. 2013. [30] A. Bidram, A. Davoudi, F. L. Lewis, and Z. Qu, "Secondary control of microgrids based on distributed cooperative control of multi-agent systems," IET Generation, Transmission & Distribution, vol. 7, no. 8, pp. 822-831, Aug. 2013. [31] A. Bidram, A. Davoudi, F. L. Lewis, and J. M. Guerrero, "Distributed cooperative secondary control of microgrids using feedback linearization," IEEE Trans. on Power Systems, vol. 28, no. 3, pp. 3462-3470, Aug. 2013. [32] J. W. Simpson-Porco, et al., "Secondary frequency and voltage control of islanded microgrids via distributed averaging," IEEE Trans. on Industrial Electronics, vol. 62, no. 11, pp. 7025-7038, Nov. 2015. [33] F. Guo, C. Wen, J. Mao, J. Chen, and Y. D. Song, "Distributed cooperative secondary control for voltage unbalance compensation in an islanded microgrid," IEEE Trans. on Industrial Informatics, vol. 11, no. 5, pp. 1078-1088, Oct. 2015. [34] H. Cai, F. L. Lewis, G. Hu, and J. Huang, "The adaptive distributed observer approach to the cooperative output regulation of linear multi-agent systems," Automatica, vol. 75, pp. 299-305, Jan. 2017. [35] F. L. Lewis, H. Zhang, K. Hengster-Movric, and A. Das, Cooperative Control of Multi-Agent Systems Optimal and Adaptive Design Approaches, SpringerLink, 2014. [36] A. Mustafa, H. Modares, and R. Moghadam, "Resilient synchronization of distributed multi-agent systems under attacks," Automatica, vol. 115, Article ID: 108869, May 2020. [37] A. Bidram, F. L. Lewis, and A. Davoudi, "Distributed control systems for small-scale power networks: using multiagent cooperative control theory," IEEE Control Systems Magazine, vol. 34, no. 6, pp. 56-77, Dec. 2014. [38] F. D. Mohammadi, H. K. Vanashi, and A. Feliachi, "State-space modeling, analysis, and distributed secondary frequency control of isolated microgrids," IEEE Trans. on Energy Conversion, vol. 33, no. 1, pp. 155-165, Mar. 2017. [39] D. Ding, Q. L. Han, Y. Xiang, X. Ge, and X. M. Zhang, "A survey on security control and attack detection for industrial cyber-physical systems," Neurocomputing, vol. 275, pp. 1674-1683, 31 Jan. 2018. [40] A. Kazemy, J. Lam, and Z. Chang, "Adaptive event-triggered mechanism for networked control systems under deception attacks with uncertain occurring probability," International J. of Systems Science, vol. 2020, pp. 1426-1439, 2020. [41] C. Chen, et al., "Resilient adaptive and H∞ controls of multi-agent systems under sensor and actuator faults," Automatica, vol. 102, pp. 19-26, Apr. 2019. [42] H. Zhang, F. L. Lewis, and A. Das, "Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback," IEEE Trans. on Automatic Control, vol. 56, no. 8, pp. 1948-1952, Aug. 2011.RezaMohammadi NikMohammad Reza Alizadeh PahlavaniArashDehestani Kolagar1226202315416610.66224/ijece.40630.21.3.154http://ijece.org/fa/Article/40630http://ijece.org/fa/Article/Download/40630http://ijece.org/fa/Article/Download/40630http://ijece.org/fa/Article/Download/40630http://ijece.org/fa/Article/Download/40630http://ijece.org/fa/Article/Download/40630http://ijece.org/fa/Article/Download/40630http://ijece.org/fa/Article/Download/40630[1] A. Consoli, M. Cacciato, F. Gennaro, G. Scarcella, and A. Testa, "Common mode current elimination in multi-drive industrial systems," in Proc. Conf. IEEE Industry Applications. 36th Annu. Meeting, vol. 3, pp. 1851-1857, Phoenix, AZ, USA, 3-7 Oct. 1999. [2] Z. Lu, W. Wang, and W. Tian, "Fault-tolerant control for five-leg two-mover permanent-magnet linear motor traction systems with open-phase fault," in Proc. 13th Int. Symp. on Linear Drives for Industry Applications, LDIA'21, 4 pp., Wuhan, China, 1-3 Jul. 2021. [3] C. Chen, et al., "Predictive control of five-leg inverter-double permanent magnet synchronous motor system with error feedback model," J. of Physics: Conf. Series, vol. 1650, no. 2, Article ID: 022091, 2020. [4] J. H. Lee, J. S. Lee, and J. H. Ryu, "Carrier-based discontinuous PWM method for five-leg inverter," IEEE Access, vol. 8, pp. 100323-100336, 2020. [5] S. Saeidabadi and L. Parsa, "Model predictive control of a two-motor drive using a four-leg inverter," in Proc. IEEE Int. Electric Machines & Drives Conf., IEMDC'21, 6 pp., Hartford, CT, USA, 17-20 May 2021. [6] K. Matsuse, N. Kezuka, and K. Oka, "Characteristics of independent two induction motor drives fed by a four-leg inverter," IEEE Trans. Ind. Appl., vol. 47, no. 5, pp. 2125-2134, Sept./Oct. 2011. [7] K. Oka, et al.,"Characteristic comparison between five-leg inverter and nine-switch inverter," in Proc. IEEE Power Conversion Conf., pp. 279-283, Nagoya, Japan, 2-5 Apr. 2007. [8] Y. Hu, et al., "Control of dual three-phase permanent magnet synchronous machine based on five-leg inverter," IEEE Trans. on Power Electronics, vol. 34, no. 11, pp. 11071-11079, Nov. 2019. [9] Q. Geng, et al., "Sensorless control method for dual permanent magnet synchronous motors driven by five-leg voltage source inverter," IEEE J. of Emerging and Selected Topics in Power Electronics, vol. 10, no. 1, pp. 260-272, Feb. 2021. [10] J. H. Lee, J. S. Lee, and J. H. Ryu, "Carrier-based discontinuous PWM method for five-leg inverter," IEEE Access, vol. 8, pp. 100323-100336, 2020. [11] Z. Lu, W. Wang, and W. Tian, "Fault-tolerant control for five-leg two-mover permanent-magnet linear motor traction systems with open-phase fault," in Proc. 13th Int. Symp. on Linear Drives for Industry Applications, LDIA'21, 4 pp., Wuhan, China, 1-3 Jul. 2021. [12] W. Wang, M. Cheng, B. Zhang, Y. Zhu, and S. Ding, "A fault-tolerant permanent-magnet traction module for subway applications," IEEE Trans. on Power Electronics, vol. 29, no. 4, pp. 1646-1658, Apr. 2013. [13] S. N. Vukosavic, M. Jones, D. Dujic, and E. Levi, "An improved PWM method for a five-leg inverter supplying two three-phase motors," in Proc. IEEE Int. Symp. on Industrial Electronics, pp. 160-165, Cambridge, UK, 30 Jun.-2 Jul. 2008. [14] M. H. N. Talib, Z, Ibrahim, N, Abd. Rahim, and A. S. Abu Hasim, "Implementation of space vector two-arm modulation for independent motor control drive fed by a five-leg inverter," J. of Power Electronics, vol. 14, no. 1, pp. 115-124, Jan. 2014. [15] P. Vas, Vector Control of AC Machines, no. 22, Oxford University Press, USA, 1990. [16] S. Vazquez, et al., "Model predictive control for power converters and drives: advances and trends," IEEE Trans. on Industrial Electronics, vol. 64, no. 2, pp. 935-947, Feb. 2016. [17] Y. Wang, H. Li, R. Liu, L. Yang, X. Wang,"Modulated model-free predictive control with minimum switching losses for PMSM drive system," IEEE Access, vol. 8, pp. 20942-20953, 2020. [18] J. Rodriguez and P. Cortes, Predictive Control of Power Converters and Electrical Drives, John Wiley & Sons, 2012. [19] T. Geyer, Model Predictive Control of High Power Converters and Industrial Drives, John Wiley & Sons, 2016. [20] C. S. Lim, N. Abd. Rahim, W. P. Hew, amd E. Levi, "Model predictive control of a two-motor drive with five-leg-inverter supply," IEEE Trans. on Industrial Electronics, vol. 60, no. 1, pp. 54-65, Jan. 2012. [21] M. Preindl and S. Bolognani, "Model predictive direct speed control with finite control set of PMSM drive systems," IEEE Trans. on Power Electronics, vol. 28, no. 2, pp. 1007-1015, Feb. 2012. [22] S. Nalakath, Y. Sun, M. Preindl, and A. Emadi, "Optimization-based position sensorless finite control set model predictive control for IPMSMs," IEEE Trans. on Power Electronics, vol. 33, no. 10, pp. 8672-8682, Oct. 2017. [23] C. Gong, Y. Hu, K. Ni, J. Liu, and J. Gao, "SM load torque observer-based FCS-MPDSC with single prediction horizon for high dynamics of surface-mounted PMSM," IEEE Trans. on Power Electronics, vol. 35, no. 1, pp. 20-24, Jan. 2019.ArmanSehatniaF.HashemzadehMahdiBaradarannia1226202320521110.66224/ijece.40690.21.3.205http://ijece.org/fa/Article/40690http://ijece.org/fa/Article/Download/40690http://ijece.org/fa/Article/Download/40690http://ijece.org/fa/Article/Download/40690http://ijece.org/fa/Article/Download/40690http://ijece.org/fa/Article/Download/40690http://ijece.org/fa/Article/Download/40690http://ijece.org/fa/Article/Download/40690[1] E. Feron, Quadratic Stabilizability of Switched Systems via State and Output Feedback, Center for Intelligent Control Systems, 13 pp., 1996. [2] Y. Chang, G. Zhai, L. Xiong, and B. Fu, "Global quadratic stabilization in probability for switched linear stochastic systems," IEEE Access, vol. 8, pp. 103610-103618, 2020. [3] C. Peng and H. Sun, "Switching-like event-triggered control for networked control systems under malicious denial of service attacks," IEEE Trans. on Automatic Control, vol. 65, no. 9, pp. 3943-3949, Sept. 2020. [4] M. Hejri, "Practical stability analysis and switching controller synthesis for discrete-time switched affine systems via linear matrix inequalities," Scientia Iranica, Articles in Press, 2022. [5] A. Shams, M. Rehan, M. A. Razaq, and M. Tufail, "A new approach using multiple Lyapunov functions for bipartite consensus of multi-agents over directed switching signed graphs," Nonlinear Analysis: Hybrid Systems, vol. 44, Article ID: 101143, May 2022. [6] X. Zhang and Z. Wang, "Stability and robust stabilization of uncertain switched fractional order systems," ISA Trans., vol. 103, 9 pp., Aug. 2020. [7] Y. Ma, Z. Li, and J. Zhao, "H∞ control for switched systems based on dynamic event-triggered strategy and quantization under state-dependent switching," IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 67, no. 9, pp. 3175-3186, Sept. 2020. [8] N. K. Son and L. Van Ngoc, "On robust stability of switched linear systems," IET Control Theory & Applications, vol. 14, no. 1, pp. 19-29, Jan. 2020. [9] K. Zhu, J. Hu, Y. Liu, N. D. Alotaibi, and F. E. Alsaadi, "On ℓ2–ℓ∞ output-feedback control scheduled by stochastic communication protocol for two-dimensional switched systems," International J. of Systems Science, vol. 52, no. 14, pp. 2961-2976, 2021. [10] G. O. Berger and R. M. Jungers, "Quantized stabilization of continuous-time switched linear systems," IEEE Control Systems Letters, vol. 5, no. 1, pp. 319-324, Jan. 2020. [11] Y. Shi and X. M. Sun, "Bumpless transfer control for switched linear systems and its application to aero-engines," IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 68, no. 5, pp. 2171-2182, May 2021. [12] F. A. Faria, et al., "Robust switched state feedback design for linear uncertain systems subject to disturbances," in Proc. 16th Int. Workshop on Variable Structure Systems, VSS'2022, pp. 22-28, Rio de Janeiro, Brazil, 11-14 Sept. 2022. [13] D. Llorente‐Vidrio, M. Mera, I. Salgado, and I. Chairez, "Robust control for state constrained systems based on composite barrier Lyapunov functions," International J. of Robust and Nonlinear Control, vol. 30, no. 17, pp. 7238-7254, 25 Nov. 2020. [14] Y. Xie and W. Wang, "Hybrid control strategy of DC-DC converters based on admissible edge-dependent average dwell time," in Proc. 4th Int Conf. on Intelligent Green Building and Smart Grid, IGBSG'19, pp. 401-404, Hubei, China, 6-9 Sept. 2019. [15] L. I. Allerhand and U. Shaked, "Robust state-dependent switching of linear systems with dwell time," IEEE Trans. on Automatic Control, vol. 58, no. 4, pp. 994-1001, Apr. 2012. [16] D. Yang and J. Zhao, "Feedback passification for switched LPV systems via a state and parameter-triggered switching with dwell time constraints," Nonlinear Analysis: Hybrid Systems, vol. 29, pp. 147-164, Aug. 2018. [17] T. Sun, T. Liu, and X. M. Sun, "Stability analysis of cyclic switched linear systems: an average cycle dwell time approach," Information Sciences, vol. 544, pp. 227-237, 12 Jan. 2021. [18] Q. Liu and L. Long, "State‐dependent switching law design with guaranteed dwell time for switched nonlinear systems," International J. of Robust and Nonlinear Control, vol. 30, no. 8, pp. 3314-3331, 25 May. 2020. [19] P. Bolzern and W. Spinelli, "Quadratic stabilization of a switched affine system about a nonequilibrium point," in Proc. of the American Control Conf., vol. 5, pp. 3890-3895, Boston, MA, USA, 30 Jun.- 2 Jul. 2004. [20] X. Xu, G. Zhai, and S. He, "On practical asymptotic stabilizability of switched affine systems," Nonlinear Analysis: Hybrid Systems, vol. 2, no. 1, pp. 196-208, Mar. 2008. [21] X. Yan, Z. Shu, and S. M. Sharkh, "Prediction-based sampled-data control for DC-DC buck converters," in Proc. 1st Workshop on Smart Grid and Renewable Energy, SGRE'15, 6 pp., Doha, Qatar, 22-23 Mar. 2015. [22] L. Hetel and E. Fridman, "Robust sampled-data control of switched affine systems," IEEE Trans. on Automatic Control, vol. 58, no. 11, pp. 2922-2928, Nov. 2013. [23] F. Wu, X. Qu, C. Li, J. Lian, and L. Xu, "Multi-rate sampled-data control of switched affine systems," IET Control Theory & Applications, vol. 14, no. 11, pp. 1524-1530, 23 Jul. 2020. [24] H. Yang, P. Li, M. Xing, and B. Zhang, "Robust sampled-data control for direct_current-to-direct_current converters via switched affine description and error tracking strategy," Proc. of the Institution of Mechanical Engineers, Part I: J. of Systems and Control Engineering, vol. 236, no. 1, pp. 169-181, 2022.katayounrahbariseyed alihosseinoi1226202316717710.66224/ijece.40696.21.3.167http://ijece.org/fa/Article/40696http://ijece.org/fa/Article/Download/40696http://ijece.org/fa/Article/Download/40696http://ijece.org/fa/Article/Download/40696http://ijece.org/fa/Article/Download/40696http://ijece.org/fa/Article/Download/40696http://ijece.org/fa/Article/Download/40696http://ijece.org/fa/Article/Download/40696[1] M. Mukaidono, "Regular ternary logic functions ternary logic functions suitable for treating ambiguity," IEEE Trans. Computers, vol. 35, no. 2, pp. 179-183, Feb. 1986. [2] A. Heung and H. T. Mouftah, "Depletion/enhancement CMOS for a lower power family of three-valued logic circuits," IEEE J. Solid-State Circuits, vol. 20, no. 2, pp. 609-616, Apr. 1985. [3] M. H. Moaiyeri, Z. M. Taheri, M. Rezaei Khezeli, and A. Jalali, "Efficient passive shielding of MWCNT interconnects to reduce crosstalk effects in multiple-valued logic circuits," IEEE Trans. Electromagn. Compat., vol. 61, no. 5, pp. 1593-1601, Oct. 2019. [4] M. Rezaei Khezeli, M. H. Moaiyeri, and A. Jalali, "Comparative analysis of simultaneous switching noise effects in MWCNT bundle and Cu power interconnects in CNTFET-based ternary circuits," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 27, no. 1, pp. 37-46, Jan. 2019. [5] K. Rahbari and S. A. Hosseini, "Novel ternary D-flip-flap-flop and counter based on successor and predecessor in nanotechnology," AEU Int. J. Electron. Commun., vol. 109, pp. 107-120, Sept. 2019. [6] K. Rahbari and S. A. Hosseini, "Design of ternary logic gates and buffer based memory cell in nanoelectronics," International J. of Electronics, vol. 109, no. 11, pp. 1973-1995, 2022. [7] A. Akturk, G. Pennington, N. Goldsman, and A. Wickenden, "Electron transport and velocity oscillations in a carbon nanotube," IEEE Trans. Nanotechnical, vol. 6, no. 4, pp. 469-474, Jul. 2007. [8] A. Raychowdhury and K. Roy, "Carbon nanotube electronics: design of high-performance and low-power digital circuits," IEEE Trans. on Circuits Syst. I, Reg. Papers, vol. 54, no. 11, pp. 2391-2401, Nov. 2007. [9] M. Moonesan, R. F. Mirzaee, M. S. Daliri, and K. Navi, "Robust fuzzy SRAM for accurate and ultra-low-power MVL and fuzzy logic applications," Electronics Letters, vol. 52, no. 25, pp. 2032-2034, Dec. 2016. [10] Stanford Nanoelectronics Lab, VS-CNFET Model: Stanford University Virtual Source CNFET Model [Online]. (2008) Available: https://nano.stanford.edu/downloads/vs-cnfet-model. [11] J. Shaikh and F. Rahman, "High speed and low power preset-able modified TSPC D flip-flop design and performance comparison with TSPC D flip-flop," in Proc. Int. Symp. on Devices, Circuits and Systems, 4 pp., Howrah, India, 29-31 Mar. 2018. [12] J. Deng, et al., "Carbon nanotube transistor circuits: circuit-level performance benchmarking and design options for living with imperfections," in Proc. Int. Solid State Circuits Conf., pp. 70-588, Howrah, India, San Francisco, CA, USA, 11-15 Feb. 2007. [13] M. Aguirre-Hernandez and M. Linares-Aranda, "A clock-gated pulse-triggered D flip-flop for low-power high-performance VLSI synchronous systems," in Proc. Int. Caribbean Conf. on Devices, Circuits and Systems, pp. 293-297, Playa del Carmen, Mexico, 26-28 Apr. 2006. [14] M. H. Moaiyeri, A. Doostaregan, and K. Navi, "Design of energy-efficient and robust ternary circuits for nanotechnology," IET Circuits, Devices, Syst, vol. 5, no. 4, pp. 285-296, Jul. 2011. [15] E. Shahrom, S.A Hosseini, "A new low power multiplexer based ternary multiplier using CNTFETs," AEU International Journal of Electronics and Communications, vol.15, no. 4, pp. 191-207,2018. [16] S. Tabrizchi and K. Navi, "Novel CNTFET ternary circuit technoloques for high-performance and rnergy-efficient design," IET Circuits, vol. 13, no. 2, pp. 193-202, Mar. 2019. [17] M. Takbiri and K. Navi, "Analysis review of noise margin in MVL: clarification of a deceptive matter," Circuits and System, vol. 38, pp. 4280-4301, 2019. [18] M. Ghelichkhan, S. A. Hosseini, and S. H. Pishgar Komleh, "Multi-digit binaryto-quaternary and quaternary-to-binary converters and their applications in nanoelectronics," Circuits Syst. Signal Process., vol. 39, pp. 1920-1942, 2020. [19] S. Kim and T. Lim, "An optimal gate design for the synthesis of ternary logic circuits," in Proc. 23rd Asia and South Pacific Design Automation Conf., ASP-DAC'18, pp. 476-481, Jeju, South Korea, 22-25 Jan. 2018. [20] M. Shahangian, S. A. Hosseini, S. H. Pishgarkomleh, "Design of a multi-digit binary to ternary convert based on CNTFETs," Circuits and systems and Signal Processing, vol. 38, pp. 2544-2563, 2019. [21] S. A. Hosseini, S. Etezadi, "A novel very low-complexity multi-valued logic comparator in nanoelectronics," Circuits and systems and Signal Processing, vol. 38, pp. 4056-4078, 2019. [22] M. H. Moayeri and M. K. Q. Jooq, "Breaking the limits in ternary logic: an ultra efficient auto backup/restore nonvolatile ternary flip-flop using negative capacitance CNTFET technology," IEEE Access, vol. 9, pp. 132641-132651, 2021. [23] A. A. Javadi, M. Morsali, and H. M. Moayeri, "Magnetic nonvolatile flip-flops with spin-hall assistance for power gating in ternary systems," J. of Computational Electronics, vol. 19, no. 3, pp. 175-1186, Sept. 2020. [24] T. Sharma and L. Kumre, "Design of unbalanced ternary counters using shifting literals based D-Flip-Flops in carbon nanotube technology," Elsevier, Computer and Electronic J., vol. 93, Article ID: 107249, Jul. 2021. [25] R. Faghih Mirzaee and N. Farahani, "Design of a ternary edge-triggered D flip-flap-flop for multiple-valued sequential logic," J. of Low Power Electronics, vol. 13, no. 1, pp. 36-46, Mar. 2017.RezaDarvish khalilabadiamirbavafa toosi1226202319720410.66224/ijece.40818.21.3.197http://ijece.org/fa/Article/40818http://ijece.org/fa/Article/Download/40818http://ijece.org/fa/Article/Download/40818http://ijece.org/fa/Article/Download/40818http://ijece.org/fa/Article/Download/40818http://ijece.org/fa/Article/Download/40818http://ijece.org/fa/Article/Download/40818http://ijece.org/fa/Article/Download/40818[1] M. Jhamb and R. Mohan, "Ultra low power design of multi-valued logic circuit for binary interfaces," J. of King Saud University Computer and Information Sciences, vol. 34, no. 8, pt. A, pp. 5578-5586, Sept. 2021. [2] D. B. Fayaz and P. S. Rao, "Power-efficient voltage up level shifter with low power delay product," International J. of Circuit Theory and Applications, vol. 49, no. 7, pp. 2158-2169, Jul. 2021. [3] N. Minakhi and P. Kati, "Voltage level shifter using modified Wilson current mirror," International J. of Scientific & Eng. Research, vol. 8, no. 6, pp. 1564-1570, Jun. 2017. [4] A. Chavan and E. MacDonald, "Ultra low voltage level shifters to interface sub and super threshold reconfigurable logic cells," in Proc. IEEE Aerosp. Conf., 6 pp., Big Sky, MT, USA, 1-8 Mar. 2008. [5] D. Zhao, et al., "A voltage level shifter with fast level translation speed," in Proc. IEEE 5th International Electrical and Energy Conf., CIEEC'22, pp. 1333-1336, Nangjing, China, 27-29 May 2022. [6] L. Qeye, et al., "A novel floating high-voltage level shifter with pre-storage technique," Sensors, vol. 22, no. 5, Article ID: 1774, 2022. [7] D. Dwivedi, S. Dwivedi, and E. Potladhurthi, "Voltage up level shifter with improved performance and reduced power," in Proc. 25th IEEE Canadian Conf. on Electrical and Computer Engineering, CCECE'12, 4 pp., Montreal, QC, Canada, 29 Apr.-2 May 2012. [8] R. Lotfi, M. Saberi, S. R. Hosseini, A. R. Ahmadi-Mehr, and R. B. Staszewski, "Energy-efficient wide-range voltage level shifters reaching 4.2 fJ/transition," IEEE Solid-State Circuits Lett., vol. 1, no. 2, pp. 34-37, Feb. 2018. [9] S. R. Hosseini, M. Saberi, and R. Lotfi, "A high-speed and power-efficient voltage level shifter for dual-supply applications," IEEE Trans. Very Large Scale Integrated VLSI Syst., vol. 25, no. 3, pp. 1154-1158, Mar. 2017. [10] S. Lutkemeier and U. Riue, "A subthreshold to above-threshold level shifter comprising a Wilson current mirror," IEEE Trans. Circuits Syst. II Exp. Briefs, vol. 57, no. 9, pp. 721-724, Sept. 2010. [11] M. Liu, et al., "Fast and wide range voltage conversion in multisupply voltage designs," IEEE Trans. on VLSI Systems, vol. 23, no. 2, pp. 388-391, Feb. 2015. [12] Y. Osaki, T. Hirose, N. Kuroki, and M. Numa, "A low-power level shifter with logic error correction for extremely low-voltage digital CMOS LSIs," IEEE J. Solid-State Circuits, vol. 47, no. 7, pp. 1776-1783, Jul. 2012. [13] S. Luo, et al., "A wide-range level shifter using a modified Wilson current mirror hybrid buffer," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 61, no. 6, pp. 1656-1665, May 2014. [14] N. Rezaei and M. Mirhassani, "An efficient high speed and low power voltage-level shifter," International J. Electron. Commun, vol. 138, Article ID: 153857, Aug 2021. [15] B. Razavi, Design of Analog CMOS Integrated Circuits, 2nd Ed., New York, NY, USA: McGraw-Hill, 2015. [16] V. Misra, et al., "Field effect transistors," W. K. Chen, Ed. The Electrical Engineering Handbook, San Diego, CA: Elsevier, Ch. 3, pp. 109-126, 2005.