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New insights on fuzzy sampled-data stabilization of delayed nonlinear systems

Author

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  • Saravanakumar, Ramasamy
  • Datta, Rupak
  • Cao, Yang

Abstract

This paper explores an improved T-S fuzzy stabilization criteria for nonlinear systems with time-delays via memory sampled-data strategy in the looped-functional context. The sampling period is assumed to be varying within an interval. A new integral inequality is developed to minimize conservatism in the integral term. In addition, free-matrix-based integral inequality (FMBII), and Wirtinger-based integral inequality (WII) are employed. Improved stabilization conditions are derived in linear matrix inequalities (LMIs) using the FMBII, which is based on the looped-functional approach (LFA). A fuzzy memory sampled-data controller design is devised to ensure the asymptotic stability of the closed-loop system. The numerical investigation is carried out with the different approaches, and the resulting outcomes justify that the derived results are less conservative and advantageous over the existing systems.

Suggested Citation

  • Saravanakumar, Ramasamy & Datta, Rupak & Cao, Yang, 2022. "New insights on fuzzy sampled-data stabilization of delayed nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    • Handle: RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921010080
    DOI: 10.1016/j.chaos.2021.111654
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    References listed on IDEAS

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    1. Mingchu Xu & Zhen Xu, 2020. "Stabilisation of T-S fuzzy systems with mixed time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(10), pages 1814-1824, July.
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    4. Luo, Jinnan & Liu, Xinzhi & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Cheng, Jun, 2020. "A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    5. Cheng Hu & Haijun Jiang, 2014. "Time-Delayed Impulsive Control of Chaotic System Based on T-S Fuzzy Model," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-12, August.
    6. 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).
    7. Xia, Yude & Wang, Jing & Meng, Bo & Chen, Xiangyong, 2020. "Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
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    Cited by:

    1. Arockia Samy, Stephen & Anbalagan, Pratap, 2023. "Disturbance observer-based integral sliding-mode control design for leader-following consensus of multi-agent systems and its application to car-following model," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Lin, Funing & Xue, Guangming & Qin, Bin & Li, Shenggang & Liu, Heng, 2023. "Event-triggered finite-time fuzzy control approach for fractional-order nonlinear chaotic systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    3. Yang, Tianqing & Zou, Runmin & Liu, Fang & Liu, Cai & Sidorov, Denis, 2023. "Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    4. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improvement of sampled-data-based stabilization and dissipativity conditions for T–S fuzzy systems under network communication environment," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    5. Yang, Te & Wang, Zhen & Xia, Jianwei & Shen, Hao, 2023. "Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 44-57.

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