Dissipative Dynamic Output Feedback Control for Switched Systems via Multistep Lyapunov Function Approach

2019 ◽  
pp. 131-147
Author(s):  
Jiwei Wen ◽  
Alireza Nasiri ◽  
Sing Kiong Nguang ◽  
Dhafer J. Almakhles
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Output Feedback ◽  
Switched Systems ◽  
Output Feedback Control ◽  
Function Approach ◽  
Dynamic Output Feedback ◽  
Dynamic Output ◽  
Dissipative Dynamic

Dissipative dynamic output feedback control for switched systems via multistep Lyapunov function approach

2019 ◽  
Vol 41 (15) ◽  
pp. 4254-4262
Author(s):  
Yun Xie ◽  
Zhuangyu Liu ◽  
Xiaoli Luan ◽  
Jiwei Wen
Keyword(s):  
Lyapunov Function ◽  
Output Feedback ◽  
Traditional Method ◽  
Output Feedback Control ◽  
Average Dwell Time ◽  
Dynamic Output Feedback ◽  
Dynamic Output ◽  
Guaranteed Stability ◽  
Reduction Problem ◽  
Dissipative Dynamic

The conservatism reduction problem of dissipative dynamic output feedback (DOF) control for a class of average dwell time switched system is investigated via a multistep Lyapunov function (LF) approach. First, a larger dissipative region with guaranteed stability and specifically, smaller [Formula: see text] level can be achieved by increasing a predictive step N, which means the monotonic requirement of LF is relaxed. Then, based on the results of dissipative analysis, a robust dissipative DOF controller is further designed. Unlike the traditional method that introduces equality constraint to obtain numerical testable conditions with heuristic nature, a less conservative controller is designed, where the LF matrix is formulated without structural constraint.

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