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On Stabilization Conditions for T–S Systems with Nonlinear Consequent Parts

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Abstract

This paper deals with T–S fuzzy model with nonlinear consequent parts that has shown to reduce the number of fuzzy rules and decrease modeling error comparing with conventional T–S with linear consequent parts. To further increase the benefits of using such model, many novelties in analyzing and applying it are introduced here. Canceling the nonlinear part of subsystems by fuzzy feedback linearization, using a novel fuzzy non-quadratic Lyapunov function and new relaxation methods for further reduction of conservativeness and maximizing the region of attractions are all discussed in this paper. Numerical examples illustrate the effectiveness of the proposed method.

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Acknowledgements

This research was supported by Quchan University of Technology (Grant No. 7740).

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Authors and Affiliations

  1. Department of Electrical Engineering, Quchan University of Technology, 94771-67335, Quchan, Iran

    Hoda Moodi

  2. Department of Electrical Engineering, Iran University of Science and Technology, 16846-13114, Narmak, Tehran, Iran

    Mohammad Farrokhi

  3. LAMIH UMR CNRS 8201, University of Valenciennes and Hainaut-Cambresis, Le Mont Houy, 59313, Valenciennes, France

    Thierry Marie Guerra & Jimmy Lauber

Authors
  1. Hoda Moodi
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  2. Mohammad Farrokhi
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  3. Thierry Marie Guerra
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  4. Jimmy Lauber
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Correspondence to Hoda Moodi.

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Moodi, H., Farrokhi, M., Guerra, T.M. et al. On Stabilization Conditions for T–S Systems with Nonlinear Consequent Parts. Int. J. Fuzzy Syst. 21, 84–94 (2019). https://doi.org/10.1007/s40815-018-0548-6

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  • DOI: https://doi.org/10.1007/s40815-018-0548-6

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