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

• Published in: Asian journal of control Vol. 26; no. 4; pp. 1703 - 1720
• Main Authors: Wang, Mengjiao, Wu, Baowei, Wang, Yue‐E, Liu, Lili, Yan, Rongrong
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.07.2024
• 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
• ISSN: 1561-8625; 1934-6093
• DOI: 10.1002/asjc.3291

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.