H∞ Control of Constrained Markov Jump Systems With Intermittent Mode Information Loss

• 成果类型: Article
• 署名作者: Shen, Ying; Wu, Zheng-Guang; Shi, Peng; Chen, Bo
• 署名单位: Zhejiang University of Technology; Zhejiang University; Zhejiang Normal University; University of Adelaide
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3258453
• 发表日期: 2023
• 页码: 8052-8058
• 关键词: H-infinity control; intermittent mode information loss; joint input-state constraint; Markov jump systems (MJSs)

摘要

This article investigates H-infinity control for continuous time Markov jump systems subject to joint input-state constraint and intermittent mode information loss. The considered constraint, which is defined as a quadratic function of the system state and control input, is very general since it covers the input constraint, state constraint, or other constraints for physical quantities of interest. The mode information loss is described by a Bernoulli stochastic process. As a result, the system mode and controller mode form a special case of hidden Markov model. By means of an mode-dependent Lyapunov function, a sufficient condition is presented, which can guarantee that the closed-loop system is exponentially mean square stable with a certain H-infinity noise attenuation performance under the joint input-state constraint. Finally, an example is presented to analyze the influence of some important parameters and illustrate the effectiveness of the proposed control scheme.