Adaptive control for the systems with hysteresis and uncertainties

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper discusses the adaptive control for the uncertain discrete time linear systems preceded with hysteresis and disturbances. The contribution of the paper is the fusion of the hysteresis model with the adaptive control techniques without constructing the inverse hysteresis nonlinearity. The proposed scheme eliminates the traditional over-parameterization by only adapting the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the sliding mode controller. The stability in the sense that all signals in the loop remain bounded can be guaranteed. Furthermore, if the disturbance and reference signal are slow varying with respect to the sampling frequency, the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.

Original languageEnglish
Title of host publication9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Final Program and Abstracts
PublisherIFAC Secretariat
Pages275-280
Number of pages6
EditionPART 1
ISBN (Print)9783902661296
DOIs
Publication statusPublished - 2007

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume9
ISSN (Print)1474-6670

Keywords

  • Adaptive control
  • Discrete-time system
  • Hysteresis
  • Sliding mode control
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Chen, X. (2007). Adaptive control for the systems with hysteresis and uncertainties. In 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Final Program and Abstracts (PART 1 ed., pp. 275-280). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 9, No. PART 1). IFAC Secretariat. https://doi.org/10.3182/20070829-3-ru-4911.00045