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Type-2 Combined T-S Adaptive Fuzzy Control

Author

Listed:
  • Yunli Hao
  • Shuang Li
  • Qing Xia
  • Maohua Wang

Abstract

For a class of nonlinear systems with a nonlinear relationship between input and output, a fuzzy control method combining interval type-2 and T-S fuzzy controller is proposed based on type-2 fuzzy system theory. In order to ensure its stability, anti-interference ability, and minimum approximation error, this design combines direct, indirect, supervised, and compensation control types to construct the controller. In this way, the structure of the controller not only has the characteristics of the type-2 fuzzy set, which can reduce the uncertainty of rules, but also has a T-S fuzzy model with linear combination of input variables, which can improve the modeling accuracy and reduce the number of rules of the system. By using the Lyapunov synthesis method, the global stability and the convergence of the closed-loop system under the condition that all variables are uniformly bounded are analyzed, and the adaptive laws of the system parameters are given as well. Finally, the effectiveness and superiority of the proposed method are verified by simulation.

Suggested Citation

  • Yunli Hao & Shuang Li & Qing Xia & Maohua Wang, 2020. "Type-2 Combined T-S Adaptive Fuzzy Control," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-15, May.
    • Handle: RePEc:hin:jnlmpe:3479389
    DOI: 10.1155/2020/3479389
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    Cited by:

    1. Bagstad, Kenneth J. & Ingram, Jane Carter & Shapiro, Carl D. & La Notte, Alessandra & Maes, Joachim & Vallecillo, Sara & Casey, C. Frank & Glynn, Pierre D. & Heris, Mehdi P. & Johnson, Justin A. & Lau, 2021. "Lessons learned from development of natural capital accounts in the United States and European Union," Ecosystem Services, Elsevier, vol. 52(C).

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