Chattering-free condition for sliding mode control with unidirectional auxiliary surfaces

Jian Fu; Qing Xian Wu; Wen Hua Chen; Xing Gang Yan

doi:10.1177/0142331212461049

Chattering-free condition for sliding mode control with unidirectional auxiliary surfaces

Jian Fu, Qing Xian Wu, Wen Hua Chen, Xing Gang Yan

Department of Aeronautical and Aviation Engineering

Research output: Journal article publication › Journal article › Academic research › peer-review

19 Citations (Scopus)

Abstract

A chattering-free condition is proposed as a sufficient condition for the sliding mode control with unidirectional auxiliary surfaces (UAS-SMC) strategy in a class of non-linear systems. With this condition, the UAS-SMC controller would enjoy the following properties: 1) chattering-free property of the control input; 2) enhanced approaching speed on the switching surfaces (except the original point); 3) no requirement to measure the derivatives; 4) a positively invariant set formed by UAS. The stability of the closed-loop system is demonstrated with a chattering-free UAS-SMC controller. Numerical simulation is given to illustrate the benefits and properties of the proposed controller and algorithm.

Original language	English
Pages (from-to)	593-605
Number of pages	13
Journal	Transactions of the Institute of Measurement and Control
Volume	35
Issue number	5
DOIs	https://doi.org/10.1177/0142331212461049
Publication status	Published - Jul 2013

Keywords

Approaching law
chattering-free condition
non-linear system
sliding mode
UAS-SMC

ASJC Scopus subject areas

Instrumentation

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10.1177/0142331212461049

Cite this

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abstract = "A chattering-free condition is proposed as a sufficient condition for the sliding mode control with unidirectional auxiliary surfaces (UAS-SMC) strategy in a class of non-linear systems. With this condition, the UAS-SMC controller would enjoy the following properties: 1) chattering-free property of the control input; 2) enhanced approaching speed on the switching surfaces (except the original point); 3) no requirement to measure the derivatives; 4) a positively invariant set formed by UAS. The stability of the closed-loop system is demonstrated with a chattering-free UAS-SMC controller. Numerical simulation is given to illustrate the benefits and properties of the proposed controller and algorithm.",

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AU - Fu, Jian

AU - Wu, Qing Xian

AU - Chen, Wen Hua

AU - Yan, Xing Gang

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AB - A chattering-free condition is proposed as a sufficient condition for the sliding mode control with unidirectional auxiliary surfaces (UAS-SMC) strategy in a class of non-linear systems. With this condition, the UAS-SMC controller would enjoy the following properties: 1) chattering-free property of the control input; 2) enhanced approaching speed on the switching surfaces (except the original point); 3) no requirement to measure the derivatives; 4) a positively invariant set formed by UAS. The stability of the closed-loop system is demonstrated with a chattering-free UAS-SMC controller. Numerical simulation is given to illustrate the benefits and properties of the proposed controller and algorithm.

KW - Approaching law

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KW - sliding mode

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Chattering-free condition for sliding mode control with unidirectional auxiliary surfaces

Abstract

Keywords

ASJC Scopus subject areas

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