Mixed optimization approach to model approximation of descriptor systems

Q. Wang; J. Lam; Q. L. Zhang; Q. Y. Wang

doi:10.1007/s10957-006-9137-1

Mixed optimization approach to model approximation of descriptor systems

Q. Wang, J. Lam, Q. L. Zhang, Q. Y. Wang

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

7 Citations (Scopus)

Abstract

A mixed optimal model approximation is presented to obtain reduced-order models for truly fast descriptor systems. By a projection from truly fast descriptor systems to discrete-time systems, a mixed optimal model approximation for truly fast descriptor systems is transformed to a mixed optimal model approximation of the corresponding discrete-time systems. The structure of the fast descriptor systems is preserved in the model approximation procedure. The expression of the error and its gradient are given explicitly in terms of the solutions of certain Lyapunov equations. A numerical example is provided to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	265-280
Number of pages	16
Journal	Journal of Optimization Theory and Applications
Volume	131
Issue number	2
DOIs	https://doi.org/10.1007/s10957-006-9137-1
Publication status	Published - Nov 2006
Externally published	Yes

Keywords

Descriptor systems
H norm
Hilbert-Schmidt norm
Model approximation

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10957-006-9137-1

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AB - A mixed optimal model approximation is presented to obtain reduced-order models for truly fast descriptor systems. By a projection from truly fast descriptor systems to discrete-time systems, a mixed optimal model approximation for truly fast descriptor systems is transformed to a mixed optimal model approximation of the corresponding discrete-time systems. The structure of the fast descriptor systems is preserved in the model approximation procedure. The expression of the error and its gradient are given explicitly in terms of the solutions of certain Lyapunov equations. A numerical example is provided to illustrate the effectiveness of the proposed method.

KW - Descriptor systems

KW - H norm

KW - Hilbert-Schmidt norm

KW - Model approximation

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ER -

Mixed optimization approach to model approximation of descriptor systems

Abstract

Keywords

ASJC Scopus subject areas

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