Stability Analysis and Stabilization of Switched Systems With Average Dwell Time: A Matrix Polynomial Approach

IEEE Access

卷:9

Lei Cheng¹  Hongbin Zhang¹  Yongjun Zhou² 

[1] School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China;

[2] State Grid Lhasa Power Supply Company, Lhasa, China;

关键词: Switched systems;    average dwell time;    matrix polynomial;    stability;    stabilization;   

DOI  :  10.1109/ACCESS.2020.3047261

来源: DOAJ

【 摘 要 】

This paper focuses on stability analysis and stabilization of a switched system under average dwell time criteria in the continuous-time domain. The matrix polynomial approach is applied to the switched system to construct a continuous Lyapunov function and design a more effective controller, which can not only improve the system performance but also lessen the system conservativeness. The stability problem is studied with square matricial representation for the first time. The new method is more applicable than previous work under average dwell time switching with the time-varying controller gains. In addition, new sufficient conditions of stability and stabilization are derived to guarantee the global uniform exponential stability of the switched system. A numerical example is provided to show the advantages of the new method.

【 授权许可】

Unknown