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

Fridman, Emilia and Han, X.R. and Spurgeon, Sarah K. (2010) A Singular Perturbation Approach to Sliding Mode Control in the Presence of Input Delay. In: Proc. 8th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2010),, Bologna, Italy. (doi:https://doi.org/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)

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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: Conference or workshop item (Paper)
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: 07 Jul 2014 08:38 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/35827 (The current URI for this page, for reference purposes)
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