Event-triggered H∞ control for networked discrete-time Markov jump systems with repeated scalar nonlinearities

Xiaona Song, Yunzhe Men, Jianping Zhou, Junjie Zhao and Hao Shen

Applied Mathematics and Computation, 2017, vol. 298, issue C, 123-132

Abstract: This paper investigates the event-triggered H∞ control problem for networked discrete-time Markov jump systems subject to repeated scalar nonlinearities. An event-triggered communication transmission scheme is adopted and an event generator is presented between the controller and sensor. Our aim is to design a controller such that, although the unavoidable phenomenon of network-induced delays is fully considered, the resulting closed-loop system is stochastically stable with a prescribed H∞ performance level. By employing a diagonally-dominant-type Lyapunov functional, a co-design method is established for the existence of an admissible controller and some available mode-dependent event-triggered parameters. Finally, the effectiveness of our proposed control design method is shown by a numerical example.

Keywords: Event-triggered scheme; H∞ control; Repeated scalar nonlinearities; Discrete-time Markov jump systems (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:298:y:2017:i:c:p:123-132

DOI: 10.1016/j.amc.2016.10.042

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