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Decentralised Stabilisation of Nonlinear Time Delay Interconnected Systems

Yan, XG; Spurgeon, SK; Zhao, D; Guo, L; (2016) Decentralised Stabilisation of Nonlinear Time Delay Interconnected Systems. IFAC-PapersOnLine , 49 (9) pp. 152-157. 10.1016/j.ifacol.2016.07.518. Green open access

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Abstract

A decentralised state feedback control scheme is proposed to stabilise a class of nonlinear interconnected systems asymptotically based on the characteristics of the system structure. Under the condition that all the nominal isolated subsystems have uniform relative degree, the considered class of interconnected systems is transferred to a new interconnected system formed of single input systems, which facilitates the decentralised control design. A new term, weak mismatched uncertainty, is introduced for the first time to recognise a class of mismatched uncertainties in the isolated subsystems. The study shows that the effects of both matched and weak mismatched uncertainties in the isolated subsystems can be rejected completely by appropriate choice of control, and the effects of matched interconnections can be largely reduced if the control gain is sufficiently high.

Type: Article
Title: Decentralised Stabilisation of Nonlinear Time Delay Interconnected Systems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.ifacol.2016.07.518
Publisher version: http://doi.org/10.1016/j.ifacol.2016.07.518
Language: English
Additional information: © 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. This manuscript version is made available under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International license (CC BY-NC-ND 4.0). This license allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licenses are available at https://creativecommons.org/licenses/. Access may be initially restricted by the publisher.
Keywords: Nonlinear interconnected systems; decentralised control; time delay; relative degree
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1531916
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