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

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-trigg...

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Bibliographic Details
Published in:Applied mathematics and computation 2017-04, Vol.298, p.368-382
Main Authors: Xu, Qiyi, Zhang, Yijun, He, Wangli, Xiao, Shunyuan
Format: Article
Language:English
Subjects:
Delay-distribution-dependent
Event-triggered
Network-induced delay
Nonlinear singular system
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2016.11.010