Finite-Time Control of Markov Jump Lur'e Systems With Singular Perturbations

• 成果类型: Article
• 署名作者: Cheng, Jun; Park, Ju H.; Wu, Zheng-Guang
• 署名单位: Guangxi Normal University; Yeungnam University; Hunan University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3238296
• 发表日期: 2023
• 页码: 6804-6811
• 关键词: Average dwell time; finite-time bounded; nonhomogeneous Markov chain; singularly perturbed Lur'e system.

摘要

This article investigates the asynchronous controller design issue for Markov jump Lur'e systems with singular perturbations within a fixed time interval. For broader practical applications, the variation of system modes is regulated by a switched nonhomogeneous Markov process that corresponded to both lower level nonhomogeneous stochastic jumping and higher level deterministic switching. By resorting to the hidden nonhomogeneous-Markov model, an asynchronous control law that relies on the detected mode information is proposed. In light of the mode-dependent average dwell time strategy and mode-dependent stochastic system theory, the singularly perturbed parameter-independent conditions are attained to ensure the stochastic finite-time boundedness of the resulting systems. With respect to a linear matrix inequality optimization problem, a solution to the maximum singular perturbation parameter is obtained. Finally, the feasibility and applicability of the devised theoretical results are verified by simulation examples.