Adaptive fuzzy output feedback control of uncertain nonlinear systems with unknown backlash-like hysteresis

  • Authors:
  • Yongming Li;Shaocheng Tong;Tieshan Li

  • Affiliations:
  • Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121001, PR China and Navigation College, Dalian Maritime University, Dalian, Liaoning 116026, PR China;Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121001, PR China;Navigation College, Dalian Maritime University, Dalian, Liaoning 116026, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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Abstract

In this paper, the problem of adaptive fuzzy output-feedback control is investigated for a class of uncertain nonlinear systems with unknown backlash-like hysteresis and unmeasured states. The fuzzy logic systems are used to approximate the nonlinear system functions, and a fuzzy state observer is designed to estimate the unmeasured states. By utilizing the fuzzy state observer, and combining the adaptive backstepping technique with adaptive fuzzy control design, an observer-based adaptive fuzzy output-feedback control approach is developed. It is proved that the proposed control approach can guarantee that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded (SUUB), and both observer error and tracking error can converge to a small neighborhood of the origin. Two simulations are included to illustrate the effectiveness of the proposed approach.