离散时间两层切换系统的鲁棒指数几乎处处稳定性  

Robust Exponential Almost Sure Stability of Discrete-time Two-level Switched Systems

作　　者：宋杨[1,2] 杨杰[1] 郑敏[1,2] 费敏锐[1,2] 

机构地区：[1]上海大学机电工程与自动化学院,上海200072 [2]上海市电站自动化技术重点实验室,上海200072

出　　处：《自动化学报》2016年第1期131-139,共9页Acta Automatica Sinica

基　　金：国家自然科学基金(61573237);上海市自然科学基金(13ZR1416300);国家重大科学仪器设备开发专项课题(2012YQ15008703);上海市科委项目(14JC1402200)资助~~

摘　　要：提出了一种新类型的切换系统—两层切换系统(Two-level switched systems,TSSs),其顶层切换是确定的,底层切换为随机的且由多个Markov链支配.基于持续驻留时间(Persistent dwell-time,PDT)方法,研究了TSS存在参数不确定性情况下的鲁棒指数几乎处处(Exponential almost sure,EAS)稳定性,以线性矩阵不等式(Linear matrix inequality,LMI)形式给出了一个充分条件.最后通过数值仿真例子验证了本文方法的有效性.This paper proposes a new type of switched systems called two-level switched systems（TSSs）. In a TSS,the top-level switching is deterministic, while the low-level switching is governed by multiple Markov chains and thus it is stochastic. Considering a TSS with parameter uncertainties, the robust exponential almost sure（EAS） stability is investigated. Based on the method of persistent dwell-time（PDT）, a sufficient condition of robust EAS stability is given in the form of linear matrix inequalities（LMIs）. A numerical example is provided to demonstrate the effectiveness of the proposed result.

关 键 词：两层切换系统 持续驻留时间 鲁棒指数几乎处处稳定 离散随机系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]