Decentralised Variable Structure Control for Time Delay Interconnected Systems

Yan, Xinggang and Spurgeon, Sarah K. (2013) Decentralised Variable Structure Control for Time Delay Interconnected Systems. In: Advances in Sliding Mode Control. Lecture Notes in Control and Information Sciences, 440 . Springer Berlin Heidelberg, pp. 55-74. ISBN 978-3-642-36985-8. (doi:10.1007/978-3-642-36986-5_3) (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/10.1007/978-3-642-36986-5_3

Abstract

A class of multiple time varying delay interconnected systems with nonlinear disturbances is considered in this Chapter, where both the known and uncertain interconnections involve time delay. A decentralised static output feedback variable structure control is synthesised, which is independent of the time delays, to stabilise the system globally uniformly asymptotically. The stability of the closed loop system is analysed based on the Lyapunov Razumikhin approach. Then, for interconnected systems where each subsystem is square, it is shown that the effects of the uncertain interconnections can be largely rejected by appropriate controllers if the delays are known and the uncertain interconnections are bounded by a class of functions of the outputs and delayed outputs. A case study relating to a river pollution control problem is presented to illustrate the proposed approach.

Item Type: Book section
DOI/Identification number: 10.1007/978-3-642-36986-5_3
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: 22 Oct 2013 14:13 UTC
Last Modified: 29 May 2019 11:08 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/35584 (The current URI for this page, for reference purposes)
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