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

Xinkai Chen, Takeshi Hisayama, Chun Yi Su

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58 Citations (Scopus)


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
Issue number10
Publication statusPublished - 2010 Oct



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

ASJC Scopus subject areas

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

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