Adaptive control for continuous-time systems preceded by hysteresis

Xinkai Chen; Takeshi Hisayama; Chun Yi Su

doi:10.1109/CDC.2008.4739259

Adaptive control for continuous-time systems preceded by hysteresis

Xinkai Chen, Takeshi Hisayama, Chun Yi Su

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Citations (Scopus)

Abstract

In this paper, an implicit inversion of the hysteresis described by Prandtl-Ishlinskii model is introduced to avoid difficulties of the directly inverse construction for this kind of complex hysteresis models. Based on this inversion, the adaptive control for the output of the hysteresisis described by Prandtl-Ishlinskii model is discussed. Furthermore, the adaptive control for the continuous-time linear dynamical systems preceded with hysteresis described by Prandtl-Ishlinskii model is formulated. The stability of the controlled systems are analyzed and the output tracking errors can be controlled to be zero. Simulation results show the effectiveness of the proposed algorithms.

Original language	English
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1931-1936
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4739259
Publication status	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 2008 Dec 9 → 2008 Dec 11

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	08/12/9 → 08/12/11

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2008.4739259

Cite this

Chen, X., Hisayama, T., & Su, C. Y. (2008). Adaptive control for continuous-time systems preceded by hysteresis. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 1931-1936). [4739259] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4739259

Adaptive control for continuous-time systems preceded by hysteresis. / Chen, Xinkai; Hisayama, Takeshi; Su, Chun Yi.

Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 1931-1936 4739259 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chen, X, Hisayama, T & Su, CY 2008, Adaptive control for continuous-time systems preceded by hysteresis. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4739259, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1931-1936, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 08/12/9. https://doi.org/10.1109/CDC.2008.4739259

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AB - In this paper, an implicit inversion of the hysteresis described by Prandtl-Ishlinskii model is introduced to avoid difficulties of the directly inverse construction for this kind of complex hysteresis models. Based on this inversion, the adaptive control for the output of the hysteresisis described by Prandtl-Ishlinskii model is discussed. Furthermore, the adaptive control for the continuous-time linear dynamical systems preceded with hysteresis described by Prandtl-Ishlinskii model is formulated. The stability of the controlled systems are analyzed and the output tracking errors can be controlled to be zero. Simulation results show the effectiveness of the proposed algorithms.

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Adaptive control for continuous-time systems preceded by hysteresis

Abstract

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