H∞ model reduction for polytopic systems with time-varying delay

Q. Wang; J. Lam; S. Y. Xu; S. S. Zhou

doi:10.1243/09596518JSCE148

H∞ model reduction for polytopic systems with time-varying delay

Q. Wang
, J. Lam
, S. Y. Xu
, S. S. Zhou

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper addresses the H∞ model reduction problem for a polytopic system with time-varying delay. The delay-dependent sufficient conditions are presented to construct the reduced-order models such that the H∞ norm of the error system between the full-order model and the reduced-order one is less than a prescribed scalar. By employing a sequential convex optimization approach, two examples are employed to demonstrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	627-639
Number of pages	13
Journal	Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume	220
Issue number	7
DOIs	https://doi.org/10.1243/09596518JSCE148
Publication status	Published - 1 Jan 2006
Externally published	Yes

Keywords

H∞ norm
Model reduction
Polytopic system
Time-varying delay

ASJC Scopus subject areas

Control and Systems Engineering
Mechanical Engineering

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10.1243/09596518JSCE148

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abstract = "This paper addresses the H∞ model reduction problem for a polytopic system with time-varying delay. The delay-dependent sufficient conditions are presented to construct the reduced-order models such that the H∞ norm of the error system between the full-order model and the reduced-order one is less than a prescribed scalar. By employing a sequential convex optimization approach, two examples are employed to demonstrate the effectiveness of the proposed method.",

keywords = "H∞ norm, Model reduction, Polytopic system, Time-varying delay",

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N2 - This paper addresses the H∞ model reduction problem for a polytopic system with time-varying delay. The delay-dependent sufficient conditions are presented to construct the reduced-order models such that the H∞ norm of the error system between the full-order model and the reduced-order one is less than a prescribed scalar. By employing a sequential convex optimization approach, two examples are employed to demonstrate the effectiveness of the proposed method.

AB - This paper addresses the H∞ model reduction problem for a polytopic system with time-varying delay. The delay-dependent sufficient conditions are presented to construct the reduced-order models such that the H∞ norm of the error system between the full-order model and the reduced-order one is less than a prescribed scalar. By employing a sequential convex optimization approach, two examples are employed to demonstrate the effectiveness of the proposed method.

KW - H∞ norm

KW - Model reduction

KW - Polytopic system

KW - Time-varying delay

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M3 - Article

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JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

IS - 7

ER -

H∞ model reduction for polytopic systems with time-varying delay

Abstract

Keywords

ASJC Scopus subject areas

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