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Sliding Mode Observer Based-Controller Design for Nonlinear Systems with Time Varying Delay

Yan, Xinggang and Spurgeon, Sarah K. and Orlov, Yury V. (2015) Sliding Mode Observer Based-Controller Design for Nonlinear Systems with Time Varying Delay. In: Malisoff, Michael and Pepe, Pierdomenico and Frederic Mazenc, Mazenc, and Karafyllis, Iasson, eds. Recent Results on Nonlinear Delay Control Systems. Springer International Publishing, pp. 347-365. ISBN 978-3-319-18071-7. E-ISBN 978-3-319-18072-4. (doi:10.1007/978-3-319-18072-4_18) (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/10.1007/978-3-319-18072-4_18

Abstract

Abstract A class of nonlinear time varying delay systems in the presence of time delay uncertainties is considered in this chapter. The input distribution of the system is nonlinear. Under mild limitations on the uncertainty, an observer is synthesised using sliding mode techniques such that the error dynamics are ultimately uniformly bounded in the presence of uncertainties and time delay. Then, a nonlinear control scheme is developed based on the estimated states, and a set of sufficient conditions is presented such that the corresponding closed-loop systems are uniformly ultimately

bounded using the well-known Lyapunov-Razumikhin approach. It is not required that the structure of the uncertainty is known. Finally, a numerical example

is presented to demonstrate the approach and simulation results show the effectiveness of the developed paradigm.

Item Type: Book section
DOI/Identification number: 10.1007/978-3-319-18072-4_18
Subjects: T Technology > TJ Mechanical engineering and machinery > Control engineering
Divisions: Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Xinggang Yan
Date Deposited: 12 Nov 2015 12:55 UTC
Last Modified: 01 Aug 2019 10:39 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51759 (The current URI for this page, for reference purposes)
Yan, Xinggang: https://orcid.org/0000-0003-2217-8398
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