A dynamic event-triggered H∞ control for singular Markov jump systems with redundant channels

• Published in: International journal of systems science 2020-01, Vol.51 (1), p.158-179
• Main Authors: Wang, Yanqian, Zhuang, Guangming, Chen, Fu
• Format: Article
• Language: English
• Subjects: Bandwidths; Channels; Closed loop systems; Co-design; Control systems; Dynamic event-triggered scheme; Feedback control; H-infinity control; hidden Markov models; Independent variables; Linear matrix inequalities; Markov analysis; Markov chains; Random variables; Redundancy; redundant channels; singular Markov jump systems
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2019.1701729

In this paper, the problem of asynchronous 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 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.