Mendeley
TY _ JOUR
ID - 1401082740106
TI - An Algorithm for Optimal Control of a Class of Linear Time Varying Systems with Computational Time Reduction and Increasing Its Speed Approach in Engineering Problems
JO - Nashriyyah -i Muhandisi -i Barq va Muhandisi -i Kampyutar -i Iran
JA - ES
LA - fa
SN - 16823745
AU - Yousefi Tabari Mehdi
AU - Rahmani Zahra
AU - Vahidian Kamyad Ali
AU - Sadati Seyed Jalil
AD -
AD - عضو هیات علمی
AD - دانشگاه فردوسی مشهد
AD - دانشگاه صنعتی نوشیروانی بابل
Y1 - 2023
PY - 2023
VL - 3
IS -
SP - 178
EP - 186
KW - Optimal control
KW - time delay systems
KW - Pontryagin's maximum principle
DO -
N2 - Time-delay systems have been very much considered in the last few decades. Many of these time-delay systems appear in different systems and branches of science such as engineering, chemistry, physics, disease models. The presence of delay makes the analysis and control of such systems much more complicated. In fact, the application of Pontryagin’s maximum principle to the optimal control problems with time-delay results in boundary value problem involving both delay and advance terms. In this paper, we consider a time-delay optimal control problems. The first section, using the Pontryagin's maximum principle for optimal control problems with time delay, the necessary optimality conditions for this problem, are obtained. Then a new algorithm is proposed to solve this problem numerically. This algorithm is based on an approximation for derivatives and linear interpolation for delayed arguments. Finally, the resulting equations becomes a linear programming problem that can be solved numerically. The efficiency of the proposed method is evaluated by solving several numerical examples.
UR - rimag.ir/en/Article/40106
L1 - rimag.ir/en/Article/Download/40106
ER -