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Bouzari Liavoli, Fariba, Fakharian, Ahmad, Khaloozadeh, Hamid. (1402). On the Design of Extended State-Dependent Differential Riccati Equation Controller for Nonlinear Reaction-Advection-Diffusion Partial Differential Equation with Multiple Delays. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, (), -. doi: 10.30495/ijsee.2023.1998804.1287
Fariba Bouzari Liavoli; Ahmad Fakharian; Hamid Khaloozadeh. "On the Design of Extended State-Dependent Differential Riccati Equation Controller for Nonlinear Reaction-Advection-Diffusion Partial Differential Equation with Multiple Delays". نشریه علمی پژوهشی دانشگاه آزاد اسلامی, , , 1402, -. doi: 10.30495/ijsee.2023.1998804.1287
Bouzari Liavoli, Fariba, Fakharian, Ahmad, Khaloozadeh, Hamid. (1402). 'On the Design of Extended State-Dependent Differential Riccati Equation Controller for Nonlinear Reaction-Advection-Diffusion Partial Differential Equation with Multiple Delays', نشریه علمی پژوهشی دانشگاه آزاد اسلامی, (), pp. -. doi: 10.30495/ijsee.2023.1998804.1287
Bouzari Liavoli, Fariba, Fakharian, Ahmad, Khaloozadeh, Hamid. On the Design of Extended State-Dependent Differential Riccati Equation Controller for Nonlinear Reaction-Advection-Diffusion Partial Differential Equation with Multiple Delays. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 1402; (): -. doi: 10.30495/ijsee.2023.1998804.1287

On the Design of Extended State-Dependent Differential Riccati Equation Controller for Nonlinear Reaction-Advection-Diffusion Partial Differential Equation with Multiple Delays

International Journal of Smart Electrical Engineering
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 آذر 1402
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.30495/ijsee.2023.1998804.1287
نویسندگان
Fariba Bouzari Liavoli1؛ Ahmad Fakharian* 1؛ Hamid Khaloozadeh2
1Department of Electrical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
2Department of Systems and Control Engineering, K.N. Toosi University of Technology, Tehran, Iran
چکیده
This paper proposes a sub-optimal Extended State-Dependent Differential Riccati Equation (ESDDRE) controller for nonlinear Reaction-Advection-Diffusion (R-A-D) Partial Differential Equation (PDE) systems with multiple delays. A State-Dependent Riccati Equation (SDRE) is a nonlinear version of Linear Quadratic Regulator (LQR) in optimal control and it is used to analyze nonlinear optimal control problems. Instead of the linearization or the Jacobin procedure, the ESDDRE technique applies a State-Dependent Coefficients (SDC) for parameterization to construct an Extended Pseudo-Linearization (EPL) representation. All of the multiple delays sections in this presentation can be located in the system matrices and input vectors. The control effort of ESDDRE method is derived based on the Hamiltonian equation and also cost function according to the PDE systems. In addition, the L_2 stability is guaranteed by Poincaré inequality and as well as Lyapunov function regarded on the ESDDRE control strategy for the closed-loop system. The simulation results for the nonlinear R-A-D partial differential equation with one and two constant delays indicate that the proposed ESDDRE controller technique is efficient.
کلیدواژه‌ها
Extended state-dependent differential Riccati equation, Nonlinear reaction-advection-diffusion equation, Extended pseudo-linearization, Time-delay , Poincaré؛ inequality
آمار
تعداد مشاهده مقاله: 462


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