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Adaptive fuzzy controller for a class of nonlinear systems with unknown backlash-like hysteresis

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  • Hassan A. Yousef
  • Mohamed Hamdy
  • Kyrillos Nashed

Abstract

This paper proposes an adaptive fuzzy logic control scheme for a class of strict-feedback nonlinear systems with unknown backlash-like hysteresis. The proposed controller exploits the properties of the newly developed L1${{\cal L}_1}$ adaptive control in conjunction with the approximation capability of fuzzy systems. The developed controller is fast, the adaptation can be as fast as the CPU permits, and robust by virtue of the L1${{\cal L}_1}$ adaptive control structure and the direct estimation of the system nonlinear functions via fuzzy logic systems. As a result, the proposed L1${{\cal L}_1}$ adaptive fuzzy controller has a simpler form and requires fewer adaptation parameters. The inverted pendulum and Duffing forced oscillation systems are used in simulation studies to verify the effectiveness of the proposed L1${{\cal L}_1}$ adaptive fuzzy control scheme.

Suggested Citation

  • Hassan A. Yousef & Mohamed Hamdy & Kyrillos Nashed, 2017. "Adaptive fuzzy controller for a class of nonlinear systems with unknown backlash-like hysteresis," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2522-2533, September.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2522-2533
    DOI: 10.1080/00207721.2017.1324065
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    Cited by:

    1. Zand, Behnam & Ghaderi, Pedram & Amini, Fereidoun, 2023. "Structural system identification via synchronization technique and fuzzy logic," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 174-188.

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