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

Hao Yan, Jianwen Wang, Fuzhong Wang, Zhiqiang Wang and Shuangquan Zou

International Journal of Systems Science, 2019, vol. 50, issue 5, 905-918

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.

Date: 2019
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DOI: 10.1080/00207721.2019.1585996

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