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

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• 作者：Qiyi Xu^a ; Yijun Zhang ; ^a ; ^{zyjcar@gmail.com} ; ^{zhangyijun@njust.edu.cn} ; Wangli He^b ; Shunyuan Xiao^a
• 关键词：Nonlinear singular system ; Event-triggered ; Network-induced delay ; Delay-distribution-dependent
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：368-382
• 全文大小：676 K
• 卷排序：298

文摘

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.