Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time

• Published in: Frontiers of information technology & electronic engineering Vol. 23; no. 5; pp. 810 - 822
• Main Authors: Hou, Linlin, Ma, Xuan, Sun, Haibin
• Format: Journal Article
• Language: English
• Published: Hangzhou Zhejiang University Press 01.05.2022; Springer Nature B.V; School of Computer Science,Qufu Normal University,Rizhao 276826,China%College of Engineering,Qufu Normal University,Rizhao 276826,China
• Subjects: Algorithms; Communications Engineering; Computer Hardware; Computer Science; Computer Systems Organization and Communication Networks; Control systems design; Controllers; Design; Dwell time; Electrical Engineering; Electronics and Microelectronics; Instrumentation; Liapunov functions; Linear systems; Networks; Research Article; Stabilization; Switching; Admissible edge-dependent average dwell time; 异步切换; 多李雅普诺夫函数; Multi-Lyapunov function; TP13; 可容许边依赖平均驻留时间; Asynchronous switching
• ISSN: 2095-9184; 2095-9230
• DOI: 10.1631/FITEE.2000698

The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time. Under this switching signal, the restriction that the maximum delay of asynchronous switching is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results.