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Discrete-Time Adaptive Control of Uncertain Sampled-Data Systems with Uncertain Input Delay: A Reduction

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

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This is the authors' accepted manuscript of an article that has been published in its final definitive form by IET, 2020.

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Abstract

This paper proposes a discrete-time adaptive control approach for uncertain single-input and single-output (SISO) linear time-invariant sampled-data systems with uncertain, constant input time delay that has a known upper-bound, without explicitly estimating the time delay. To cope with the unknown time delay a reduction approach similar to that proposed by Artstein in 1982 is used which results in a delay-free system that simplifies the control law design. In addition, the proposed control approach is capable of coping with bounded exogenous disturbances. A rigorous stability analysis shows that the proposed control approach drives the system output to a bound around the reference signal asymptotically, in the presence of an exogenous disturbance. Moreover, simulation results are shown to verify the approach.


Publication metadata

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

Publication type: Article

Publication status: Published

Journal: IET Control Theory & Applications

Year: 2020

Volume: 14

Issue: 13

Pages: 1681-1691

Print publication date: 03/09/2020

Online publication date: 17/04/2020

Acceptance date: 16/04/2020

Date deposited: 20/04/2020

ISSN (print): 1751-8644

ISSN (electronic): 1751-8652

Publisher: IET

URL: https://doi.org/10.1049/iet-cta.2019.1440

DOI: 10.1049/iet-cta.2019.1440


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