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Disturbance rejections of interval type-2 fuzzy systems under event-triggered control scheme

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  • Selvaraj, P.
  • Kwon, O.M.
  • Lee, S.H.
  • Sakthivel, R.

Abstract

The problem of robust stabilization of interval type-2 fuzzy systems are studied by using equivalent-input-disturbance estimator-based event-triggered fuzzy control scheme. The estimator of the addressed system is designed by introducing new membership functions and then by using the same premises of the observer, the fuzzy controller is designed. To be precise, sampling-based event-triggered scheme is taken into the account in the controller design to save the communication resources and avoid the existence of Zeno behaviour. Furthermore, to compensate the impact of unknown disturbance, the equivalent-input-disturbance estimator-block is included as an internal loop of closed-loop system. To derive the stability conditions, a novel type of sampling-dependent piece-wise Lyapunov-Krasovskii functional is constructed. Then, by introducing slack matrices, the fuzzy membership function dependent stability criteria are derived. The event-triggered weighting matrix and the gains of controller and observer can be obtained by obtaining the solutions of the developed stability criteria. At last, numerical simulations are given to reflect the effectiveness and applicability of the developed theoretical results.

Suggested Citation

  • Selvaraj, P. & Kwon, O.M. & Lee, S.H. & Sakthivel, R., 2022. "Disturbance rejections of interval type-2 fuzzy systems under event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    • Handle: RePEc:eee:apmaco:v:431:y:2022:i:c:s0096300322003976
    DOI: 10.1016/j.amc.2022.127323
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    References listed on IDEAS

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    1. Sun, Jiayue & Zhang, Huaguang & Wang, Yingchun & Liang, Hongjing, 2021. "H∞ control for switched IT2 fuzzy nonlinear systems with multiple time delays applied in hybrid grid‐connected generation," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Liang, Xingyue & Xia, Jianwei & Chen, Guoliang & Zhang, Huasheng & Wang, Zhen, 2019. "Dissipativity-based sampled-data control for fuzzy Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 552-564.
    3. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    4. Sun, Shaoxin & Wang, Yingchun & Zhang, Huaguang & Sun, Jiayue, 2020. "Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 377(C).
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    1. Guo, Fang & Luo, Mengzhuo & Cheng, Jun & Katib, Iyad & Shi, Kaibo, 2023. "Nonfragile observer-based event-triggered fuzzy tracking control for fast-sampling singularly perturbed systems with dual-layer switching mechanism and cyber-attacks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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