Event-triggered \(H\infty\) controller design for networked Takagi-Sugeno systems with uncertainties and time delay

Volume 10, Issue 4, pp 2040--2051 http://dx.doi.org/10.22436/jnsa.010.04.59

Publication Date: April 20, 2017 Submission Date: July 11, 2016

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Authors

Huaicheng Yan - School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China. - Key Laboratory of Advanced Control and Optimization for Chemical Process of Ministry of Education, East China University of Science and Technology, Shanghai 200237, China. Yuwei Zhao - Key Laboratory of Advanced Control and Optimization for Chemical Process of Ministry of Education, East China University of Science and Technology, Shanghai 200237, China. Yun Chen - School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China. Shiming Chen - School of Electrical and Electrical Engineering, East China Jiaotong University, Nanchang 330013, China. Xisheng Zhan - College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, China.

Abstract

This paper considers an event-triggered communication scheme for a class of networked Takagi-Sugeno (T-S) fuzzy systems with uncertainties and time delay. By the parallel distributed compensation fuzzy control rules, a new type of closed-loop nonlinear networked control systems (NCSs) with an interval time delay, uncertainties and event-triggered communication strategy is modeled as a class of networked T-S fuzzy systems. In order to deal with the integral items and convert the coupling time-varying matrix inequalities into a class of decoupling matrix inequalities, a new delay-dependent stabilization criterion is presented firstly. Secondly, some novel criteria for the asymptotic stability analysis and control synthesis of event-triggered networked T-S fuzzy systems with time delay and uncertainties are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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Keywords

• Event-triggered communication scheme
• T-S fuzzy systems
• time delay
• uncertainties.

MSC

•  93C42
•  93D20

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