Filtered-error-based control of a class of nonlinear systems with nonsmooth nonlinearities

Ying Jin; Jun Fu; Lixian Zhang; Zhijun Li

doi:10.1109/CDC.2012.6426007

Filtered-error-based control of a class of nonlinear systems with nonsmooth nonlinearities

Ying Jin^*
, Jun Fu
, Lixian Zhang
, Zhijun Li

^*Corresponding author for this work

Northeastern University China
Massachusetts Institute of Technology
South China University of Technology

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper proposes a filtered-error-based method for a class of nonlinear systems with nonsmooth nonlinearities. For a class of special nonsmooth nonlinearities arising from hysteresis phenomena, a model based on play-like operators to describe the nonlinearities is first reviewed, and then an attempt is made to mitigate the effects of the nonlinearities with available control techniques. A simple filtered-error-based control scheme is specifically developed to guarantee the stability of the adaptive system and ensure tracking error within a desired precision. Simulation results attained for a nonlinear system are given to illustrate and further validate the effectiveness of the proposed methods of this paper.

Original language	English
Article number	6426007
Pages (from-to)	3463-3468
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426007
State	Published - 2012
Externally published	Yes
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

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10.1109/CDC.2012.6426007

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title = "Filtered-error-based control of a class of nonlinear systems with nonsmooth nonlinearities",

abstract = "This paper proposes a filtered-error-based method for a class of nonlinear systems with nonsmooth nonlinearities. For a class of special nonsmooth nonlinearities arising from hysteresis phenomena, a model based on play-like operators to describe the nonlinearities is first reviewed, and then an attempt is made to mitigate the effects of the nonlinearities with available control techniques. A simple filtered-error-based control scheme is specifically developed to guarantee the stability of the adaptive system and ensure tracking error within a desired precision. Simulation results attained for a nonlinear system are given to illustrate and further validate the effectiveness of the proposed methods of this paper.",

author = "Ying Jin and Jun Fu and Lixian Zhang and Zhijun Li",

year = "2012",

doi = "10.1109/CDC.2012.6426007",

language = "英语",

pages = "3463--3468",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

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note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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AU - Jin, Ying

AU - Fu, Jun

AU - Zhang, Lixian

AU - Li, Zhijun

PY - 2012

Y1 - 2012

N2 - This paper proposes a filtered-error-based method for a class of nonlinear systems with nonsmooth nonlinearities. For a class of special nonsmooth nonlinearities arising from hysteresis phenomena, a model based on play-like operators to describe the nonlinearities is first reviewed, and then an attempt is made to mitigate the effects of the nonlinearities with available control techniques. A simple filtered-error-based control scheme is specifically developed to guarantee the stability of the adaptive system and ensure tracking error within a desired precision. Simulation results attained for a nonlinear system are given to illustrate and further validate the effectiveness of the proposed methods of this paper.

AB - This paper proposes a filtered-error-based method for a class of nonlinear systems with nonsmooth nonlinearities. For a class of special nonsmooth nonlinearities arising from hysteresis phenomena, a model based on play-like operators to describe the nonlinearities is first reviewed, and then an attempt is made to mitigate the effects of the nonlinearities with available control techniques. A simple filtered-error-based control scheme is specifically developed to guarantee the stability of the adaptive system and ensure tracking error within a desired precision. Simulation results attained for a nonlinear system are given to illustrate and further validate the effectiveness of the proposed methods of this paper.

UR - https://www.scopus.com/pages/publications/84874246593

U2 - 10.1109/CDC.2012.6426007

DO - 10.1109/CDC.2012.6426007

M3 - 会议文章

AN - SCOPUS:84874246593

SN - 0743-1546

SP - 3463

EP - 3468

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6426007

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Filtered-error-based control of a class of nonlinear systems with nonsmooth nonlinearities

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