RBF NN-Based backstepping control for strict feedback block nonlinear system and its application

  • Yunan Hu*
  • , Yuqiang Jin
  • , Pingyuan Cui
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Based on neural networks, a robust control design method is proposed for strict-feedback block nonlinear systems with mismatched uncertainties. Firstly, Radial-Basis-Function (RBF) neural networks are used to identify the nonlinear parametric uncertainties of the system, and the adaptive tuning rules for updating all the parameters of the RBF neural networks are derived using the Lyapunov stability theorem to improve the approximation ability of RBF neural networks on-line. Considering the known information, neural network and robust control are used to deal with the design problem when control coefficient matrices are unknown and avoid the possible singularities of the controller. For every subsystem, a nonlinear tracking differentiator is introduced to solve the "computer explosion" problem in backstepping design. It is proved that all the signals of the closed-loop system are uniform ultimate bounded.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsFuliang Yin, Chengan Guo, Jun Wang
PublisherSpringer Verlag
Pages129-137
Number of pages9
ISBN (Print)3540228438, 9783540228431
DOIs
Publication statusPublished - 2004
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3174
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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