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

Xinkai Chen; Takeshi Hisayama; Chun Yi Su

doi:10.1109/TAC.2010.2053737

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 journal › Article

58 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 language	English
Article number	5491113
Pages (from-to)	2357-2363
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	55
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2010.2053737
Publication status	Published - 2010 Oct

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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

Chen, X., Hisayama, T., & Su, C. Y. (2010). Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation. IEEE Transactions on Automatic Control, 55(10), 2357-2363. [5491113]. https://doi.org/10.1109/TAC.2010.2053737

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Access to Document

10.1109/TAC.2010.2053737