基于模型依赖平均驻留时间的含不稳定子系统的离散切换系统的稳定性分析  

Stability Analysis of Discrete Switched Systems with Unstable Subsystems via Mode-Dependent Average Dwell Time

作　　者：刘永慧[1] 苏庆堂[2] LIU Yonghui;SU Qingtang(Electrical Institute, Shanghai Dianji University, Shanghai 201306, China;School of Information and Electrical Engineering, Ludong University, Yantai 264025, China)

机构地区：[1]上海电机学院电气学院,上海201306 [2]鲁东大学信息与电气工程学院,山东烟台264025

出　　处：《东华大学学报（自然科学版）》2019年第5期784-789,810,共7页Journal of Donghua University(Natural Science)

基　　金：国家自然科学基金资助项目(61803253,61771231);山东省自然科学基金资助项目(ZR2017MF010);上海电机学院基础研究专项计划资助项目(A1-0227-18-016-04)

摘　　要：考虑含有不稳定子系统的离散切换系统的稳定性,通过设计模型依赖平均驻留时间(mode-dependent average dwell time, MDADT)切换信号,针对稳定子系统和不稳定子系统分别设计了慢切换信号和快切换信号,降低驻留时间方法的保守性。采用MDADT方法建立了非线性离散切换系统全局一致指数稳定的充分条件,进一步研究了含有不稳定模态的线性离散切换系统的稳定性,最后数值仿真验证了方法的有效性。This paper considers the stability of the discrete switched systems with unstable subsystems. By employing the mode-depedent average dwell time(MDADT), the slow switching signal and fast switching signal are designed for stable subsystems and unstable subsystems respectively. Therefore, the constraints on the dwell time are reduced. At frist, by employing the MDADT method, sufficient conditons are constructed to guarantee the global uniformly exponentially stability of the nonlinear discrete switched systems. And then, the results are further extended into linear discrete switched systems. Finally, a simulation is given to demonstrate the efficiency of the proposed method.

关 键 词：离散切换系统 不稳定子系统 模型依赖平均驻留时间 稳定性分析 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]