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

• 成果类型: Article
• 署名作者: Cong, Shen
• 署名单位: Heilongjiang University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3255139
• 发表日期: 2023
• 页码: 8029-8035
• 关键词: Almost sure stability; Markovian switching systems; matrix power series; stabilizing control

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.