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The positivity and event-triggered stabilization of Takagi-Sugeno fuzzy systems with actuator saturation

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  • Yang, Gengjiao

Abstract

The positivity and event-triggered stabilization of Takagi-Sugeno fuzzy systems with actuator saturation are investigated in this paper. Different from the existing quadratic event-triggered mechanism (ETM), a linear ETM is constructed, which can be reduced to a time-triggered mechanism (TTM). Based on parallel distribution compensation, an event-triggered fuzzy controller is designed, and sufficient conditions under the estimation of a certain domain of attraction are proposed to ensure the ETM-based and TTM-based closed-loop systems are positive and stable. The controller gain is solved directly by the proposed conditions. And then these sufficient conditions are extended to the conditions under the estimation of the largest domain of attraction by establishing an optimization problem. Furthermore, the linear ETM is proved to exclude the Zeno behavior of the system. Finally, two simulation examples are utilized to verify the effectiveness of the proposed event-triggered control scheme.

Suggested Citation

  • Yang, Gengjiao, 2024. "The positivity and event-triggered stabilization of Takagi-Sugeno fuzzy systems with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    • Handle: RePEc:eee:apmaco:v:473:y:2024:i:c:s0096300324001127
    DOI: 10.1016/j.amc.2024.128640
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    References listed on IDEAS

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    1. Lisai Gao & Fuqiang Li & Jingqi Fu, 2022. "Event-triggered output-based control of T-S fuzzy systems under quantisation, actuator saturation and cyber attacks," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(4), pages 793-809, March.
    2. Wu, Ailong & Xing, Xiangru, 2021. "Robust exponential stabilization of positive uncertain switched neural networks with actuator saturation and sensor faults," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. Hussain, Muntazir & Rehan, Muhammad & Ahmed, Shakeel & Abbas, Tanveer & Tufail, Muhammad, 2020. "A novel approach for static anti-windup compensation of one-sided Lipschitz systems under input saturation," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    4. Li, Jinghan & Zhao, Jun, 2022. "Bumpless transfer based event-triggered control for switched linear systems with state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    5. He, Zhilong & Li, Chuandong & Li, Yi & Cao, Zhengran & Zhang, Xiaoyu, 2021. "Local synchronization of nonlinear dynamical networks with hybrid impulsive saturation control inputs," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    Full references (including those not matched with items on IDEAS)

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