A dynamic event-triggered H∞ control for singular Markov jump systems with redundant channels. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Wang, Yanqian; Zhuang, Guangming; Chen, Fu
• Is Part Of: International journal of systems science. Volume 51:Issue 1(2020)
• Page Start: 158
• Page End: 179
• Publication Date: 2020-01-02
• Subjects: Dynamic event-triggered scheme -- singular Markov jump systems -- hidden Markov models -- redundant channels -- linear matrix inequalities; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1701729
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: In this paper, the problem of asynchronous H ∞ control for singular Markov jump systems with redundant channels under the dynamic event-triggered scheme is studied. To save the resource of bandwidth limited network, a dynamic event-triggered scheme is proposed. The technique of redundant channels is employed to improve the successful rate of the communication network, which are modelled as two mutually independent Bernoulli-distributed random variables. A hidden Markov model is proposed to formulate the asynchronisation phenomena between the system modes and the controller modes, which results in the fact that the closed-loop system is a singular hidden Markov jump system. The criteria of regular, causal and stochastically stable with a certain H ∞ performance for the closed-loop system are obtained. The co-design of asynchronous controllers and the dynamic event-triggered scheme is proposed in terms of a group of feasible linear matrix inequalities. A numerical example and a practical example are presented to show the effectiveness of the developed method.