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A Novel Fuzzy Approximator with Fast Terminal Sliding Mode and Its Application

  • Yunfeng Liu
  • Fei Cao
  • Yunhui Peng
  • Xiaogang Yang
  • Dong Miao
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4223)

Abstract

A new learning algorithm for fuzzy system to approximate unknown nonlinear continuous functions is presented. Fast terminal sliding mode combining the finite time convergent property of terminal attractor and exponential convergent property of linear system is introduced into the conventional back-propagation learning algorithm to improve approximation ability. The Lyapunov stability analysis guarantees that the approximation is stable and converges to the unknown function with improved speed. The proposed fuzzy approximator is then applied in the control of an unstable nonlinear system. Simulation results demonstrate that the proposed method is better than conventional method in approximation and tracing control of nonlinear dynamic system.

Keywords

Fuzzy System Sliding Mode Terminal Sliding Mode Control Convergent Speed Finite Time Convergence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yunfeng Liu
    • 1
  • Fei Cao
    • 1
  • Yunhui Peng
    • 1
  • Xiaogang Yang
    • 1
  • Dong Miao
    • 1
  1. 1.303 BranchXi’an Research Inst. Of High-techHongqing TownChina

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