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Observer-Based Event-Triggered Control for Switched Systems with Time-Varying Delay and Norm-Bounded Disturbance

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  • Guoqi Ma
  • Linlin Qin
  • Xinghua Liu
  • Gang Wu

Abstract

This paper is concerned with the problem of observed-based event-triggered control for switched linear systems with time-varying delay and exogenous disturbance. First by employing a state observer, an observer-based event-triggered controller is designed to guarantee the finite-time boundedness and finite-time stabilization of the resulting dynamic augmented closed-loop system. Then based on the Lyapunov-like function method and the average dwell time technique, some sufficient conditions are given to ensure the finite-time boundedness and finite-time stabilization, respectively. Furthermore, the lower bound of the minimum interevent interval is proved to be positive, which thus excludes the Zeno behavior of sampling. A numerical example is finally exploited to verify the effectiveness and potential of the achieved control scheme.

Suggested Citation

  • Guoqi Ma & Linlin Qin & Xinghua Liu & Gang Wu, 2016. "Observer-Based Event-Triggered Control for Switched Systems with Time-Varying Delay and Norm-Bounded Disturbance," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-14, March.
    • Handle: RePEc:hin:jnlmpe:7920394
    DOI: 10.1155/2016/7920394
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