Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems

  • Authors:
  • Yan-Jun Liu;Shao-Cheng Tong;Tie-Shan Li

  • Affiliations:
  • School of Sciences, Liaoning University of Technology, Jinzhou, Liaoning 121001, China;School of Sciences, Liaoning University of Technology, Jinzhou, Liaoning 121001, China;Navigation College, Dalian Maritime University, Dalian, Liaoning 116026, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

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Abstract

This paper addresses the adaptive fuzzy tracking control problem for a class of uncertain nonlinear MIMO systems with the external disturbances. The adaptive fuzzy controllers are designed under the constraint that only system output is available for measurement. Then, it is needed to design a state observer to estimate the unmeasured states. In the observer design procedure, two prominent advantages are that it does not require the sign of the control gain coefficient to be known and only two parameters need to be adjusted on-line for each subsystem. By using Lyapunov analysis method, it is proven that all the signals in the closed-loop system are guaranteed to be bounded and the system outputs track the reference signals to a bounded compact set. The feasibility of the proposed approach is validated by using two simulation examples.