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Event-triggered observer-based H∞ control of switched linear systems with time-varying delay

Author

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  • Tianrui Li
  • Weiqun Wang
  • Weimin Chen

Abstract

This paper is devoted to study the issue of event-triggered observer-based $ H_{\infty } $ H∞ control of switched linear systems subject to time-varying state delay and exogenous disturbance. Firstly, an observer-based event-triggered controller is provided under the proposed event-triggered mechanism. Then, based on the average dwell time scheme and Jensen's Inequality technique, delay-dependent less conservative sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are obtained to guarantee the resulting augmented switched systems is exponential stabilisation and satisfies a prescribed $ H_{\infty } $ H∞ control performance. Furthermore, observer-based event-triggered controller is designed, and it is shown that there exists a positive lower bound of inter-event intervals. Finally, numerical example and comparison results are provided to illustrate the effectiveness and advantages of the proposed method.

Suggested Citation

  • Tianrui Li & Weiqun Wang & Weimin Chen, 2021. "Event-triggered observer-based H∞ control of switched linear systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(8), pages 1618-1632, June.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1618-1632
    DOI: 10.1080/00207721.2020.1868610
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