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Adaptive fuzzy control with smooth inverse for nonlinear systems preceded by non-symmetric dead-zone

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  • Xingjian Wang
  • Shaoping Wang

Abstract

In this study, the adaptive output feedback control problem of a class of nonlinear systems preceded by non-symmetric dead-zone is considered. To cope with the possible control signal chattering phenomenon which is caused by non-smooth dead-zone inverse, a new smooth inverse is proposed for non-symmetric dead-zone compensation. For the systematic design procedure of the adaptive fuzzy control algorithm, we combine the backstepping technique and small-gain approach. The Takagi–Sugeno fuzzy logic systems are used to approximate unknown system nonlinearities. The closed-loop stability is studied by using small gain theorem and the closed-loop system is proved to be semi-globally uniformly ultimately bounded. Simulation results indicate that, compared to the algorithm with the non-smooth inverse, the proposed control strategy can achieve better tracking performance and the chattering phenomenon can be avoided effectively.

Suggested Citation

  • Xingjian Wang & Shaoping Wang, 2016. "Adaptive fuzzy control with smooth inverse for nonlinear systems preceded by non-symmetric dead-zone," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2237-2246, July.
  • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2237-2246
    DOI: 10.1080/00207721.2014.998742
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