Adaptive control of a class of nonlinear systems with fuzzy logic

  • Authors:
  • Chun-Yi Su;Y. Stepanenko

  • Affiliations:
  • Dept. of Mech. Eng., Victoria Univ., BC;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 1994

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Abstract

An adaptive tracking control architecture is proposed for a class of continuous-time nonlinear dynamic systems, for which an explicit linear parameterization of the uncertainty in the dynamics is either unknown or impossible. The architecture employs fuzzy systems, which are expressed as a series expansion of basis functions, to adaptively compensate for the plant nonlinearities. Global asymptotic stability of the algorithm is established in the Lyapunov sense, with tracking errors converging to a neighborhood of zero. Simulation results for an unstable nonlinear plant are included to demonstrate that incorporating the linguistic fuzzy information from human experts results in superior tracking performance