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Discrete-time Adaptive Regulation of Scalar Systems with Uncertain Upper-bounded Input Delay

Lookup NU author(s): Dr Khalid Abidi, Hang Jian Soo, Emeritus Professor Ian Postlethwaite


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This paper proposes a discrete-time adaptive regulator for a scalar, linear time-invariant system with an unknown, constant input time delay that has a known upper-bound. The main contributions of this work are: 1) this is achieved without explicitly estimating the time delay, and 2) neither the plant nor its discretised model are required to have stable open-loop zeros. To cope with the unknown time delay, the control and adaptive laws are structured to accommodate use of control history data for a duration extending as far back as the delay upper-bound. A stability analysis shows that the proposed regulator drives the plant state to zero asymptotically and simulation results are shown to verify the approach.

Publication metadata

Author(s): Abidi K, Soo HJ, Postlethwaite I

Publication type: Conference Proceedings (inc. Abstract)

Publication status: Published

Conference Name: 2019 IEEE 58th Conference on Decision and Control (CDC)

Year of Conference: 2020

Pages: 976-982

Online publication date: 12/03/2020

Acceptance date: 01/07/2019

ISSN: 0743-1546

Publisher: IEEE


DOI: 10.1109/CDC40024.2019.9029467

Library holdings: Search Newcastle University Library for this item

ISBN: 9781728113999