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 publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages275-280
Number of pages6
Volume9
EditionPART 1
Publication statusPublished - 2007
Event9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Saint Petersburg
Duration: 2007 Aug 292007 Aug 31

Other

Other9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007
CitySaint Petersburg
Period07/8/2907/8/31

Fingerprint

Hysteresis
Linear systems
Control nonlinearities
Parameterization
Probability density function
Fusion reactions
Sampling
Controllers
Uncertainty

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Chen, X. (2007). Adaptive control for the systems with hysteresis and uncertainties. In IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 9, pp. 275-280)

Adaptive control for the systems with hysteresis and uncertainties. / Chen, Xinkai.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 9 PART 1. ed. 2007. p. 275-280.

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

Chen, X 2007, Adaptive control for the systems with hysteresis and uncertainties. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 9, pp. 275-280, 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007, Saint Petersburg, 07/8/29.
Chen X. Adaptive control for the systems with hysteresis and uncertainties. In IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 ed. Vol. 9. 2007. p. 275-280
Chen, Xinkai. / Adaptive control for the systems with hysteresis and uncertainties. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 9 PART 1. ed. 2007. pp. 275-280
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