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Discrete Event-Triggered \( H_{\infty } \) State-Feedback Control for Networked Control Systems

  • Weili Shen
  • Jingqi FuEmail author
  • Weihua Bao
  • Zhengming Gao
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 924)

Abstract

This paper is concerned with \( H_{\infty } \) controller design problem for event-triggered networked control systems with bounded time-varying transmission delay and packet losses. The state-feedback controller proposed in this paper deals with event-triggered model and guarantees a required disturbance attenuation level \( \gamma \) subject to external bounded disturbances. Firstly, an improved event-triggered communication scheme is proposed. Secondly, an event-based system is transformed into a delay system. Thirdly, the asymptotical stability criterion in the sense of mean-square for the delay-dependent \( H_{\infty } \) control, and the collaborative approach of the state-feedback control gain and the event-triggered scheme parameters are derived by using LMIs technique and Lyapunov stability theory which lead to less conservatism. Finally, two examples are provided to illustrate the effectiveness of the proposed event-triggering transmission scheme and the co-design method.

Keywords

\( H_{\infty } \) controller Event-triggered communication scheme Lyapunov-Krasovskii functional Time-delay NCSs 

Notes

Acknowledgments

This work was financially supported by the Science and Technology Commission of Shanghai Municipality of China under Grant (No. 17511107002).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Weili Shen
    • 1
  • Jingqi Fu
    • 1
    Email author
  • Weihua Bao
    • 2
  • Zhengming Gao
    • 2
  1. 1.Department of Automation, College of Mechatronics Engineering and AutomationShanghai UniversityShanghaiChina
  2. 2.Shanghai Automation Instrumentation Co., Ltd.ShanghaiChina

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