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Observer-based reliable passive control for uncertain T–S fuzzy systems with time-delay

Author

Listed:
  • Hao Yan
  • Jianwen Wang
  • Fuzhong Wang
  • Zhiqiang Wang
  • Shuangquan Zou

Abstract

This paper is concerned with the problem of observer-based reliable passive control for uncertain Takagi–Sugeno (T–S) fuzzy systems with time-delay and actuator faults. By employing Lyapunov stability theory, fault treatment method and linear matrix inequalities (LMIs), a sufficient condition on the existence of an observer-based reliable passive controller is given. Further, the LMI conditions are proposed for the observer-based reliable passive controller design. The gain of reliable controller and observer can be obtained by solving the proposed LMIs. Using the reliable passive controller, the closed-loop system is not only internally stable but also strictly passive even though some actuator components fail and system state fails to be measured completely. Finally, a truck-trailer system example is given to verify the effectiveness and advantages of the designed approach.

Suggested Citation

  • Hao Yan & Jianwen Wang & Fuzhong Wang & Zhiqiang Wang & Shuangquan Zou, 2019. "Observer-based reliable passive control for uncertain T–S fuzzy systems with time-delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(5), pages 905-918, April.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:905-918
    DOI: 10.1080/00207721.2019.1585996
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