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Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions

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  • Nguyen, Khanh Hieu
  • Kim, Sung Hyun

Abstract

This paper aims to design an improved sampled-data control for T-S fuzzy systems under mismatch of the actual fuzzy-basis function and the sampled fuzzy-basis function. To this end, an enhanced two-sided looped-functional method is proposed so that the chosen Lyapunov-Krasovskii functional can contain two new time-integrated states. In addition, a less conservative relaxation process is devised in such a way that (1) the error bounds of the mismatched fuzzy-basis functions can be imposed on the stabilization conditions, and (2) the required computational complexity can be reduced when relaxing the mismatched fuzzy-basis functions. Finally, through two illustrative examples, the effectiveness of the proposed method is verified by comparing our results with those of other existing methods.

Suggested Citation

  • Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    • Handle: RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322002235
    DOI: 10.1016/j.amc.2022.127150
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    References listed on IDEAS

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    5. Shu, Jinlong & Wu, Baowei & Xiong, Lianglin & Wu, Tao & Zhang, Haiyang, 2021. "Stochastic stabilization of Markov jump quaternion-valued neural network using sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 400(C).
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    7. Zeng, Pengyu & Deng, Feiqi & Gao, Xiaobin & Liu, Xiaohua, 2021. "Sampled-data resilient H∞ control for networked stochastic systems subject to multiple attacks," Applied Mathematics and Computation, Elsevier, vol. 405(C).
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    Cited by:

    1. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    2. Khanh Hieu Nguyen & Sung Hyun Kim, 2023. "Peak-to-Peak Stabilization of Sampled-Data Systems Subject to Actuator Saturation and Its Practical Application to an Inverted Pendulum," Mathematics, MDPI, vol. 11(22), pages 1-19, November.
    3. Zhang, Jianan & Ma, Yuechao, 2023. "Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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