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

Medical Laser Center Luebeck

The 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.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control (CDC)
Number of pages	6
Publisher	IEEE
Publication date	18.01.2019
Pages	7058-7063
Article number	8618986
ISBN (Print)	978-1-5386-1394-8, 978-1-5386-1396-2
ISBN (Electronic)	978-1-5386-1395-5
DOIs	https://doi.org/10.1109/CDC.2018.8618986
Publication status	Published - 18.01.2019
Event	57th IEEE Conference on Decision and Control - Centre of the Fontainebleau in Miami Beach, Miami, United States Duration: 17.12.2018 → 19.12.2018 Conference number: 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}",

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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, pp. 7058-7063, 57th IEEE Conference on Decision and Control
, Miami, Florida, United States, 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. p. 7058-7063 8618986 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

TY - GEN

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

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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.

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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

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