Finite-Time Stabilization of Uncertain Markovian Jump Systems: An Adaptive Gain-Scheduling Control Method

• 成果类型: Article
• 署名作者: Cao, Zhiru; Niu, Yugang; Peng, Chen
• 署名单位: Shanghai University; East China University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3307951
• 发表日期: 2024
• 页码: 3531-3543
• 关键词: uncertainty; Stability criteria; Numerical stability; switches; Stochastic processes; steady-state; optimization; Adaptive gain scheduling; Markovian jump systems (MJSs); polytopic uncertainties; stochastic finite-time stability (FTS); transition rate synthesis

摘要

This article addresses the stochastic finite-time stabilization problem for a class of Markovian jump systems with polytopic uncertainties. First, an adaptive gain-scheduling-based control design method is well proposed. Compared with the traditional common/parameter-independent control method, the polytopic structure characteristic is well used via approximating uncertain parameters in controller design, which might reduce the conservatism and improve the flexibility of control design. Second, the controller gains and the transition rate matrix are codesigned to ensure the stochastic finite-time stability of the closed-loop system. Furthermore, an optimization problem is also established by minimizing the constrained upper bound of the system state to achieve the optimal closed-loop performance. Finally, two numerical examples are adopted to illustrate the effectiveness of the proposed method.