Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation

Xinkai Chen, Takeshi Hisayama, Chun Yi Su

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.

Original languageEnglish
Article number5491113
Pages (from-to)2357-2363
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume55
Issue number10
DOIs
Publication statusPublished - 2010 Oct

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Continuous time systems
Hysteresis
Control nonlinearities
Dynamical systems

Keywords

  • Adaptive control
  • continuous-time systems
  • hysteresis
  • PrandtlIshlinskii model

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation. / Chen, Xinkai; Hisayama, Takeshi; Su, Chun Yi.

In: IEEE Transactions on Automatic Control, Vol. 55, No. 10, 5491113, 10.2010, p. 2357-2363.

Research output: Contribution to journalArticle

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