Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions

2022 ◽  
Author(s):  
Zhi Fan ◽  
Yongchun Fang ◽  
Yinan Wu ◽  
Cunhuan Liu
Keyword(s):  
Switched Systems ◽  
Lyapunov Functions ◽  
Controller Design ◽  
Common Lyapunov Functions

scholarly journals Static Output Feedback Control for Discrete-Time Switched Systems via Improved Path-Following Method

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Jian Chen ◽  
Chong Lin
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Output Feedback ◽  
Switched Systems ◽  
Controller Design ◽  
Output Feedback Control ◽  
Path Following ◽  
Static Output Feedback ◽  
Static Output Feedback Control ◽  
Static Output

This paper focuses on the problems of static output feedback control andH∞controller design for discrete-time switched systems. Based on piecewise quadratic Lyapunov functions and a new linearization method, new sufficient conditions for system stability andH∞controller design are obtained. Then, an improved path-following algorithm is built to solve the problems. Finally, the merits and effectiveness of the proposed method are shown by two numerical examples.

scholarly journals Fuzzy Controllers for Nonaffine-in-Control Singularly Perturbed Switched Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Linna Zhou ◽  
Qianjin Wang ◽  
Xiaoping Ma ◽  
Chunyu Yang
Keyword(s):  
Switched Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Design Method ◽  
Singularly Perturbed ◽  
Dynamic State ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Stability Bound ◽  
Takagi Sugeno

This paper investigates the problem of fuzzy controller design for nonaffine-in-control singularly perturbed switched systems (NCSPSSs). First, the NCSPSS is approximated by Takagi-Sugeno (T-S) models which include not only state but also control variables in the premise part of the rules. Then, a dynamic state feedback controller design method is proposed in terms of linear matrix inequalities. Under the controller, stability bound estimation problem of the closed-loop system is solved. Finally, an example is given to show the feasibility and effectiveness of the obtained methods.

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