Design and Implementation of Fuzzy Sliding Mode Controller for Motion Control of an Electric Shake Table Using Adaptive Extended Kalman Filter
Subject Areas : electrical and computer engineering
Nima
rajabi
1
Ramazan
Havangi
2
(دانشگاه بیرجند)
Keywords: Shaking simulation table, adaptive extended Kalman filter, Kalman filter, fuzzy sliding mode controller,
Abstract :
In this paper, Design of a fuzzy sliding mode controller (FSMC) with adaptive extended Kalman filter (AEKF) for controlling a shake table system with electric actuator and ball-screw mechanism. Due to the uncertainties regarding the model parameters and the noise of the data of the two encoder and accelerometer sensors, there are many problems in controlling this system. Therefore, it is crucial to employ a non-precise model-based controller and a nonlinear adaptive filter. The fuzzy sliding mode control and Extended Kalman filter are a good way to control this system. In sliding mode control, chattering at the control input is inevitable. In this paper, a simple fuzzy inference mechanism is used to reduce the undesirable phenomenon of chattering by correctly estimating the upper bound of uncertainty. In the following, a recursive method is used to determine the system and measurement noise covariance matrices. The data of the two encoder and accelerometer sensors are combined in the adaptive extended Kalman filter and the results in noise elimination and parameter estimation are investigated. Linear speed feedback available through the Kalman filter is used to stabilize and control the closed loop system. The end is examined to check the performance of the control structure provided by the seismic table test. The results show that the proposed method is very effective.
[1] A. Baratta, I. Corbi, O. Corbi, R. Carneiro Barros, and R. Bairrao, "Shaking table experimental researches aimed at the protection of structures subject to dynamic loading," The Open Construction and Building Technology J., vol. 6, pp. 336-360, 2012.
[2] X. Yang, H. Hongxing, and H. Junwei, "Three state controller design of shaking table in active structural control system," in Proc. IEEE Int. Conf. on Control and Automation, pp. 88-93, Guangzhou, China, 30 May-1 Jun. 2007.
[3] D. J. Lee, et al., "The tracking control of uni-axial servo-hydraulic shaking table system using time delay control," in Proc. IEEE SICE-ICASE In. Joint Conf., , pp. 29-32, Busan, South Korea, 18-21 Oct. 2006.
[4] K. Seki, M. Iwasaki, M. Kawafuku, H. Hirai, and K. Yasuda, "Adaptive compensation for reaction force with frequency variation in shaking table systems," IEEE Trans. on Industrial Electronics, vol. 56, no. 10, pp. 3864-3871, Oct. 2009.
[5] ا. صادقی، ج. کریمی و س. ح. ساداتی، "طراحی قانون هدایت مقاوم سه‌بعدی ربات پرنده به روش فازی - مد لغزشی،" مجله مهندسی مکانیک شریف، دوره 33.3، شماره 2، صص. 25-13، پاییز و زمستان 1396.
[6] س. شکی و م. ر. ذاکرزاده، "مدل¬سازی و کنترل عملگر آلیاژ حافظه¬دار با روش مد لغزشی فازی،" مجله مهندسی مکانیک مدرس، دوره 16، شماره 7، صص. 25-13، مهر 1395.
[7] A. S. Oleg and V. M. Andrei, "Adaptive estimation algorithms and their applications to measurement data processing," in Proc. IEEE Conf. of Russian Young Researchers in Electrical and Electronic Engineering, EIConRus’19, pp. 3-8, Saint Petersburg and Moscow, Russia, 28-31 Jan. 2019.
[8] Y. Huo, Z. Cai, W. Gong, and Q. Liu, "A new adaptive Kalman filter by combining evolutionary algorithm and fuzzy inference system," in Proc. IEEE Congress on Evolutionary Computation, CEC’14, pp. 2893-2900, Beijing, China, 6-11 Jul. 2014.
[9] B. Feng, M. Fu, H. Ma, Y. Xia, and B. Wang, "Kalman filter with recursive covariance estimation-sequentially estimating process noise covariance," IEEE Trans. on Industrial Electronics, vol. 61, no. 11, pp. 6253-6263, Nov. 2014.
[10] S. Sarkka and J. Hartikainen, "Non-linear noise adaptive Kalman filtering via variational Bayes," in Proc. IEEE Int. Workshop on Machine Learning for Signal Processing, MLSP’16, 6 pp., Southampton, UK, 22-25 Sept. 2016.
[11] W. Liu, Y. Liu, and R. Bucknall, "A robust localization method for unmanned surface vehicle (USV) navigation using fuzzy adaptive Kalman filtering," IEEE Access, vol. 7, pp. 46071-46083, 2019.
[12] A. Assad, W. Khalaf, and I. Chouaib, "Novel adaptive fuzzy extended Kalman filter for attitude estimation in GPS-denied environment, " Gyroscopy and Navigation, vol. 10, no. 3, pp. 131-146, 2019.
[13] M. Tarnik and J. Murgas, "Model reference adaptive control of permanent magnet synchronous motor," J. of Electrical Engineering, vol. 62, no. 3, pp. 117-125, May 2011.
[14] S. Yu, Y. Feng, and X. Yang, "Extended state observer-based fractional order sliding-mode control of piezoelectric actuators," Proc. of the Institution of Mechanical Engineers, Part I: J. of Systems and Control Engineering, Article No.: 0959651820934351, 2020.
[15] X. Yang, P. Wei, Y. Zhang, X. Liu, and L. Yang, "Disturbance observer based on biologically inspired integral sliding mode control for trajectory tracking of mobile robots," IEEE Access, vol. 7, pp. 48382-48391, 2019.
[16] K. S. Mawonou, A. Eddahech, D. Dumur, D. Beauvois, and E. Godoy, "Improved state of charge estimation for Li-ion batteries using fractional order extended Kalman filter," J. of Power Sources, vol. 435, Article No.: 226710, 30 Sept. 2019.
[17] ا. صیادی، و م. ت. ثابت، "دینامیک و کنترل مجموعه ربات های غیر هولونومیک به منظور شرکت در عملیات شکار جمعی در سطوح غیرمستوی،" مجله مهندسی مکانیک شریف، دوره 30، شماره 1، صص. 37-15، پاییز و زمستان 1393.
[18] L. Jiang and H. Zhang, "Redundant measurement-based second order mutual difference adaptive Kalman filter," Automatica, vol. 100, no. 3, pp. 396-402, Feb. 2019.
[19] A. Mehrjouyan and A. Alfi, "Robust adaptive unscented Kalman filter for bearings-only tracking in three dimensional case," Applied Ocean Research, vol. 87, pp. 223-232, Jun. 2019.
[20] N. Rajabi, A. H. Abolmasoumi, and M. Soleymani, "Sliding mode trajectory tracking control of a ball‐screw‐driven shake table based on online state estimations using EKF/UKF," Structural Control and Health Monitoring, vol. 25, no. 4, Article No.: e2133, Apr. 2018.
[21] Pacific Earthquake Engineering, Earthquake and Station Details. Retrieved from http://www.peer.berkeley.edu.