Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form

Qin Liu; Hossam Abbas; Javad Mohammadpour Velni

doi:10.1109/CDC.2018.8618986

Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form

Qin Liu, Hossam Abbas, Javad Mohammadpour Velni

Medizinisches Laserzentrum Lübeck GmbH

University of Georgia

Abstract

This paper considers the controller design problem for linear parameter-varying (LPV) systems with time delays. Given the plant model in input-output (I-O) form, a new approach is proposed for the design of LPV controller with fixed structure. Lyapunov-Krasovskii theory is employed to establish asymptotic stability of the time-delay system. Considered here are the rather general cases, where the system dynamics have a rational functional dependence on the scheduling parameters. Thus, synthesis conditions can be derived with the application of the full block S-procedure technique. A numerical example is finally given to demonstrate the efficacy of the proposed controller design approach.

Originalsprache	Englisch
Titel	2018 IEEE Conference on Decision and Control (CDC)
Seitenumfang	6
Herausgeber (Verlag)	IEEE
Erscheinungsdatum	18.01.2019
Seiten	7058-7063
Aufsatznummer	8618986
ISBN (Print)	978-1-5386-1394-8, 978-1-5386-1396-2
ISBN (elektronisch)	978-1-5386-1395-5
DOIs	https://doi.org/10.1109/CDC.2018.8618986
Publikationsstatus	Veröffentlicht - 18.01.2019
Veranstaltung	57th IEEE Conference on Decision and Control - Centre of the Fontainebleau in Miami Beach, Miami, USA / Vereinigte Staaten Dauer: 17.12.2018 → 19.12.2018 Konferenznummer: 144492

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10.1109/CDC.2018.8618986

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title = "Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form",

abstract = "This paper considers the controller design problem for linear parameter-varying (LPV) systems with time delays. Given the plant model in input-output (I-O) form, a new approach is proposed for the design of LPV controller with fixed structure. Lyapunov-Krasovskii theory is employed to establish asymptotic stability of the time-delay system. Considered here are the rather general cases, where the system dynamics have a rational functional dependence on the scheduling parameters. Thus, synthesis conditions can be derived with the application of the full block S-procedure technique. A numerical example is finally given to demonstrate the efficacy of the proposed controller design approach.",

author = "Qin Liu and Hossam Abbas and Velni, \{Javad Mohammadpour\}",

year = "2019",

month = jan,

day = "18",

doi = "10.1109/CDC.2018.8618986",

language = "English",

isbn = "978-1-5386-1394-8",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE",

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booktitle = "2018 IEEE Conference on Decision and Control (CDC)",

note = "57th IEEE Conference on Decision and Control <br/>, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

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Liu, Q, Abbas, H & Velni, JM 2019, Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form. in 2018 IEEE Conference on Decision and Control (CDC)., 8618986, Proceedings of the IEEE Conference on Decision and Control, IEEE, S. 7058-7063, 57th IEEE Conference on Decision and Control
, Miami, Florida, USA / Vereinigte Staaten, 17.12.18. https://doi.org/10.1109/CDC.2018.8618986

Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form. / Liu, Qin; Abbas, Hossam; Velni, Javad Mohammadpour.
2018 IEEE Conference on Decision and Control (CDC). IEEE, 2019. S. 7058-7063 8618986 (Proceedings of the IEEE Conference on Decision and Control).

Publikation: Kapitel in Büchern/Berichten/Konferenzbänden › Konferenzbeitrag › Begutachtung

TY - GEN

T1 - Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form

AU - Liu, Qin

AU - Abbas, Hossam

AU - Velni, Javad Mohammadpour

N1 - Conference code: 144492

PY - 2019/1/18

Y1 - 2019/1/18

N2 - This paper considers the controller design problem for linear parameter-varying (LPV) systems with time delays. Given the plant model in input-output (I-O) form, a new approach is proposed for the design of LPV controller with fixed structure. Lyapunov-Krasovskii theory is employed to establish asymptotic stability of the time-delay system. Considered here are the rather general cases, where the system dynamics have a rational functional dependence on the scheduling parameters. Thus, synthesis conditions can be derived with the application of the full block S-procedure technique. A numerical example is finally given to demonstrate the efficacy of the proposed controller design approach.

AB - This paper considers the controller design problem for linear parameter-varying (LPV) systems with time delays. Given the plant model in input-output (I-O) form, a new approach is proposed for the design of LPV controller with fixed structure. Lyapunov-Krasovskii theory is employed to establish asymptotic stability of the time-delay system. Considered here are the rather general cases, where the system dynamics have a rational functional dependence on the scheduling parameters. Thus, synthesis conditions can be derived with the application of the full block S-procedure technique. A numerical example is finally given to demonstrate the efficacy of the proposed controller design approach.

UR - https://www.scopus.com/pages/publications/85062191052

UR - http://www.mendeley.com/research/fixedstructure-controller-design-timedelayed-lpv-systems-inputoutput-form

U2 - 10.1109/CDC.2018.8618986

DO - 10.1109/CDC.2018.8618986

M3 - Conference contribution

SN - 978-1-5386-1394-8

SN - 978-1-5386-1396-2

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 7058

EP - 7063

BT - 2018 IEEE Conference on Decision and Control (CDC)

PB - IEEE

T2 - 57th IEEE Conference on Decision and Control <br/>

Y2 - 17 December 2018 through 19 December 2018

ER -

Fixed-Structure Controller Design for Time-Delayed LPV Systems in Input-Output Form

Abstract

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