Event-triggered networked H∞ control of discrete-time nonlinear singular systems

Qiyi Xu, Yijun Zhang, Wangli He and Shunyuan Xiao

Applied Mathematics and Computation, 2017, vol. 298, issue C, 368-382

Abstract: This paper is concerned with H∞ controller design for a class of discrete-time nonlinear singular system which is controlled over a communication network. The network-induced delay is considered, and its distribution characteristic is described by a Bernoulli stochastic variable. A novel event-triggered control scheme is proposed in order to save the limited network communication bandwidth. Based on the Lyapunov–Kravoskii stability theory, a delay-distribution-dependent criterion is derived which guarantees the closed-loop networked discrete-time nonlinear singular system is regular, causal, and stable with a certain H∞ performance index. A co-design method for the H∞ controller and the event-triggered scheme is presented by using the singular value decomposition technology. An numerical example is given to illustrate the effectiveness of the proposed method.

Keywords: Nonlinear singular system; Event-triggered; Network-induced delay; Delay-distribution-dependent (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:298:y:2017:i:c:p:368-382

DOI: 10.1016/j.amc.2016.11.010

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