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Fuzzy Adaptive Control for a Class of Non-Affine Systems Based on Singular Perturbation Theory

  • Daoxiang Gao
  • Dunmin Lu
  • ZengQi Sun
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 247)

Abstract

A fuzzy adaptive control method is proposed for a class of non-affine nonlinear systems. By combing implicit function theorem and time scale separation, the control input is derived from the solution of a fast dynamical equation. Stability analysis shows that the proposed approach can guarantee the boundedness of the tracking error semi-globally, which can be made arbitrarily small by choosing appropriate design parameters. Tracking performance is illustrated by simulation results.

Keywords

Adaptive control Back-stepping Dynamic inversion  Fuzzy control Non-affine systems Singular perturbation Time scale separation 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.School of TechnologyBeijing Forestry UniversityBeijingChina
  2. 2.State Key Laboratory of Intelligent Technology and system, Department of Computer Science and TechnologyTsinghua UniversityBeijingChina

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