Simplex Sliding Mode Control for Nonlinear Uncertain Systems Via Chaos Optimization

Abstract

As an emerging effective approach to nonlinear robust control simplex sliding mode control demonstrates some attractive features not possessed by the conventional sliding mode control method from both theoretical and practical points of view. However no systematic approach is currently available for computing the simplex control vectors in nonlinear sliding mode control. In this paper, chaos-based optimization is exploited so as to develop a systematic approach to seeking the simplex control vectors; particularly the flexibility of simplex control is enhanced by making the simplex control vectors dependent on the Euclidean norm of the sliding vector rather than being constant which result in both reduction of the chattering and speedup of the convergence. Computer simulation on a nonlinear uncertain system is given to illustrate the effectiveness of the proposed control method.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2004
Accession Number
ADA430275

Entities

People

  • Chen Guanrong
  • Leang-san Shieh
  • Norman P. Coleman
  • Zhao Lu

Organizations

  • University of Houston

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Closed Loop Systems
  • Computational Science
  • Computer Simulations
  • Computers
  • Control Systems
  • Convergence
  • Engineering
  • Equations
  • Genetic Algorithms
  • Linear Systems
  • Nonlinear Systems
  • Optimization
  • Simplex Method
  • Simulations
  • Surfaces

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Operations Research
  • Wave Propagation and Nonlinear Chaotic Dynamics.