Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 51, Issue 1, Pages 158-179Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2019.1701729
Keywords
Dynamic event-triggered scheme; singular Markov jump systems; hidden Markov models; redundant channels; linear matrix inequalities
Categories
Funding
- National Natural Science Foundation of China [61773191, 61803241]
- Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions [2019KJI010]
- Talent Introduction and Cultivation Plan for Outstanding Youth Innovation Teamin ShandongHigher Education Institutions
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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.
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