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 › peer-review

82 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

Keywords

Adaptive control
PrandtlIshlinskii model
continuous-time systems
hysteresis

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2010.2053737

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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.",

keywords = "Adaptive control, PrandtlIshlinskii model, continuous-time systems, hysteresis",

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year = "2010",

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AU - Chen, Xinkai

AU - Hisayama, Takeshi

AU - Su, Chun Yi

PY - 2010/10

Y1 - 2010/10

N2 - 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.

AB - 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.

KW - Adaptive control

KW - PrandtlIshlinskii model

KW - continuous-time systems

KW - hysteresis

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

Abstract

Keywords

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