Asynchronous finite‐time dynamic output feedback control for discrete‐time switched linear systems with admissible edge‐dependent average dwell time

This paper is concerned with the problem of asynchronous finite‐time dynamic output feedback (DOF) control for a class of discrete‐time switched linear systems under the admissible edge‐dependent average dwell time (AED‐ADT) switching scheme. The main goal of the paper is to design a DOF controller...

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Veröffentlicht in:Asian journal of control 2024-07, Vol.26 (4), p.1703-1720
Hauptverfasser: Wang, Mengjiao, Wu, Baowei, Wang, Yue‐E, Liu, Lili, Yan, Rongrong
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container_issue 4
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creator Wang, Mengjiao
Wu, Baowei
Wang, Yue‐E
Liu, Lili
Yan, Rongrong
description This paper is concerned with the problem of asynchronous finite‐time dynamic output feedback (DOF) control for a class of discrete‐time switched linear systems under the admissible edge‐dependent average dwell time (AED‐ADT) switching scheme. The main goal of the paper is to design a DOF controller to ensure that the resulting closed‐loop system is finite‐time bounded with AED‐ADT switching and has a specific H∞$$ {H}_{\infty } $$ performance. Firstly, some new sufficient conditions for stability criterion and H∞$$ {H}_{\infty } $$ performance analysis are established based on the multiple Lyapunov functionals technique and the linear matrix inequalities method. Secondly, a type of DOF controllers that guarantee that the closed‐loop system has desired performance is designed. Finally, the effectiveness of the proposed approaches is elaborated with a numerical example.
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subjects admissible edge‐dependent average dwell time
asynchronous switching
Control systems design
Discrete time systems
discrete‐time switched linear system
Dwell time
dynamic output feedback control
Feedback control
finite‐time boundedness
H-infinity control
Liapunov functions
Linear matrix inequalities
Linear systems
Output feedback
Stability criteria
Switching
Time dependence
title Asynchronous finite‐time dynamic output feedback control for discrete‐time switched linear systems with admissible edge‐dependent average dwell time
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