Mode-Independent Switching Stabilizing Control for Continuous-Time Linear Markovian Switching Systems

被引：6
|
作者：
Cong, Shen [1 ]
机构：
[1] Heilongjiang Univ, Sch Mech & Elect Engn, Harbin 150080, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Almost sure stability; Markovian switching systems; matrix power series; stabilizing control;
D O I：
10.1109/TAC.2023.3255139
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, we present a switching control approach to studying the stabilization problem of linear Markovian switching systems. The switching signal in feedback loop is generated independently of the underlying switching signal. Moreover, the closed-loop switching signal can be accelerated to show the influence of its stationary distribution. As a result, the transition matrix of the closed-loop system approximates such an operator semigroup that its infinitesimal generator exactly is the combination of the closed-loop subsystem matrices with respect to this stationary distribution. Therefore, endowing this infinitesimal generator with certain stable structure may allow us to make the closed-loop system exponentially stable at the expense of fast switching speed.
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页码：8029 / 8035
页数：7
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