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Improving disturbance rejection and tracking performance of interval type-2 T-S fuzzy systems with time-varying delay

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  • Zhao, Jia-Yu
  • Zhao, Tao

Abstract

In this paper, the issue of disturbances rejection for a class of interval type-2 T-S fuzzy systems (IT-2 TSFSs) with time-varying delay is studied. First, an augmented dynamic IT-2 TSFS composed of an internal model, observer, and improved equivalent input disturbance (IEID) is constructed. The IEID estimator is inserted into the fuzzy controller to compensate for unknown external disturbances. Meanwhile, a controller structure including state feedback, internal model feedforward, error feedback, and IEID is designed to improve the disturbance rejection performance of the IT-2 TSFSs. Then, the controller design problem is transformed into a stability problem of the augmented dynamic system. In addition, a Lyapunov-Krasovskii functional (LKF) is constructed which relies on the information of integral variables and membership functions (MFs). Using the time derivative information of the MFS, the controller with switching rules is designed. To reduce the conservatism of the system design conditions and improve the degree of freedom, the slack matrix and upper and lower MFs information are introduced in the stability analysis of the control system. Finally, the availability and advantages of our proposed method are validated through a numerical simulation.

Suggested Citation

  • Zhao, Jia-Yu & Zhao, Tao, 2025. "Improving disturbance rejection and tracking performance of interval type-2 T-S fuzzy systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    • Handle: RePEc:eee:apmaco:v:489:y:2025:i:c:s0096300324006118
    DOI: 10.1016/j.amc.2024.129150
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    References listed on IDEAS

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    1. Zhang, Jianyu & Wang, Yingying & Yang, Songwei & Li, Jiaojiao & Qu, Hao, 2024. "A design of fuzzy sliding mode control for Markovian jumping system with different input matrices," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    2. Shengnan Tian & Kang-Zhi Liu & Manli Zhang & Chengda Lu & Luefeng Chen & Min Wu & Jinhua She, 2023. "Disturbance rejection of T–S fuzzy systems: a membership function-dependent EID method," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(3), pages 618-632, February.
    3. Ma, Yong-Sheng & Che, Wei-Wei & Deng, Chao, 2022. "Observer-Based fuzzy containment control for nonlinear networked mass under dos attacks," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    4. Shanmugam, Lakshmanan & Joo, Young Hoon, 2023. "Adaptive neural networks-based integral sliding mode control for T-S fuzzy model of delayed nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 450(C).
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