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Controller Design for Positive T–S Fuzzy Systems with Input Constraints Based on Event-Triggered Mechanism

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Abstract

This paper investigates the design of the event-triggered controller for positive Takagi–Sugeno (T–S) fuzzy systems with input constraints. To begin with, considering the characteristics of positive systems, the 1-norm event-triggered mechanism is adopted. Then, by using the linear co-positive Lyapunov function, the positivity and stability of positive T–S fuzzy systems under the event-triggered controller are discussed, and sufficient conditions for the existence of the bounded controller are developed. Furthermore, the occurrence of the Zeno-free phenomenon is illustrated. Finally, a simulation is performed to demonstrate the effectiveness of the results in this paper.

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Acknowledgements

This work was supported by the Doctoral Start-up Foundation of Liaoning Province of China (Grant No. 2020-BS-145), the Foundation of Education Department of Liaoning Province of China (Grant No. LQGD2020010).

Funding

Doctoral Start-up Foundation of Liaoning Province, 2020-BS-145, Di Zhang, Foundation of Liaoning Province Education Administration, LQGD2020010, Di Zhang.

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  1. School of Artificial Intelligence, Shenyang University of Technology, Shenyang, 110870, Liaoning, China

    Jiayi Zhou & Di Zhang

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  1. Jiayi Zhou
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Correspondence to Di Zhang.

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Zhou, J., Zhang, D. Controller Design for Positive T–S Fuzzy Systems with Input Constraints Based on Event-Triggered Mechanism. Circuits Syst Signal Process 43, 750–765 (2024). https://doi.org/10.1007/s00034-023-02502-3

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