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Global Stabilisation for a Class of Nonlinear Time-Delay Systems based on Dynamical Output Feedback Sliding Mode Control

Yan, Xinggang, Spurgeon, Sarah K., Edwards, Christopher (2009) Global Stabilisation for a Class of Nonlinear Time-Delay Systems based on Dynamical Output Feedback Sliding Mode Control. International Journal of Control, 82 (12). pp. 2293-2303. ISSN 0020-7179 print 1366-5820 online. (doi:10.1080/00207170903032854) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23149)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1080/00207170903032854

Abstract

In this article, global stabilisation for a class of nonlinear time-varying delay systems with mismatched uncertainty is considered. The bound on the uncertainty is nonlinear and involves time-delay. For this system, a dynamical compensator is first designed. A delay free sliding surface in thye augmented space formed by the system output and the compensator state variables is proposed. The stability of the sliding mode dynamics, which include the time-delay effects, are analysed using the Lyapunov-Razumikhin approach. Then, a delay dependent sliding mode control is proposed such that the system can be driven to the sliding surface in finite time and maintain a sliding motion on it thereafter. Finally, a simulation is presented to illustrate the effectiveness of the obtained results.

Item Type: Article
DOI/Identification number: 10.1080/00207170903032854
Uncontrolled keywords: nonlinear systems, sliding mode control, time-varying delay, dynamical output feedback
Subjects: T Technology > TJ Mechanical engineering and machinery > Control engineering
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
Depositing User: J. Harries
Date Deposited: 10 Nov 2009 14:09 UTC
Last Modified: 16 Nov 2021 10:01 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23149 (The current URI for this page, for reference purposes)

University of Kent Author Information

Yan, Xinggang.

Creator's ORCID: https://orcid.org/0000-0003-2217-8398
CReDIT Contributor Roles:

Spurgeon, Sarah K..

Creator's ORCID:
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