Asynchronous Static Output-Feedback Control of Markovian Jump Linear Systems

• 成果类型: Article
• 署名作者: Tao, Yue-Yue; Wu, Zheng-Guang
• 署名单位: City University of Hong Kong; Zhejiang University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3305345
• 发表日期: 2024
• 页码: 2453-2460
• 关键词: hidden Markov models; Linear matrix inequalities; Closed loop systems; Signal processing algorithms; optimization; Linear systems; Biomedical measurement; Hidden Markovian model (HMM); Markovian jump systems (MJSs); static output-feedback (S-OF) stabilization; system augmentation approach

摘要

This article aims to study the asynchronous static output-feedback (S-OF) stabilization problem for discrete-time Markovian jump linear systems (MJLSs) with nonideal state and mode detection. Since the system state and mode cannot always be obtained ideally, an asynchronous S-OF controller is designed whose mode can be estimated from the system mode via a hidden Markovian model (HMM). A system augmentation approach is used to obtain an equivalent augmented system, in which the input and (controller gain)-output matrices are separated to facilitate the parameterization of controller gains. Under the augmented system characterization, several new necessary and sufficient stability conditions are established for the concerned closed-loop systems. An iterative LMI-based algorithm is proposed to design an asynchronous S-OF controller. A D-K optimization approach is used to improve its feasibility by finding more appropriate initial values. Three numerical examples are presented to demonstrate the effectiveness of the proposed design methods.