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A Singular Perturbation Approach to Sliding Mode Control in the Presence of Input Delay

Fridman, Emilia, Han, X.R., Spurgeon, Sarah K. (2010) A Singular Perturbation Approach to Sliding Mode Control in the Presence of Input Delay. IFAC Proceedings Volumes, 43 (14). pp. 1272-1277. ISSN 1474-6670. (doi:10.3182/20100901-3-IT-2016.00178) (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)

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. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.3182/20100901-3-IT-2016.00178

Abstract

It is well known that arbitrary small delays in the sliding mode control lead to oscillations and the systems may even become unstable for a greater values of the delay. Output feedback sliding mode control of systems with bounded matched disturbances under small time-varying input delay is considered. The design objective is to achieve ultimate boundedness of the closed-loop system with the bound proportional to the delay and to the disturbance bounds. Sliding mode controller with a high linear gain is proposed, which leads to the closed-loop singularly perturbed system. An LMI-based solution for evaluation of the design parameters and of the resulting ultimate bound is derived by using different Lyapunov-based methods.

Item Type: Article
DOI/Identification number: 10.3182/20100901-3-IT-2016.00178
Uncontrolled keywords: Sliding mode control; input delay; singular perturbation
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Tina Thompson
Date Deposited: 30 Oct 2013 14:53 UTC
Last Modified: 01 Jul 2019 13:54 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/35827 (The current URI for this page, for reference purposes)
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