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Model reduction for singular systems via covariance approximation

โœ Scribed by Wang Jing; Wanquan Liu; QingLing Zhang


Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
153 KB
Volume
25
Category
Article
ISSN
0143-2087

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โœฆ Synopsis


Abstract

In this paper, model reduction problem for singular systems will be investigated. To solve the problem, the covariance for singular systems will be defined. Then, a model reduction method based on covariance approximation will be presented for obtaining a stable and impulse controllable models for singular systems. Third, the error criterion was explicitly derived via a free parameter and the optimization procedure was presented in terms of gradient flow. Finally, illustrative examples are given to show the effectiveness of the proposed approach. Copyright ยฉ 2005 John Wiley & Sons, Ltd.


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โœ Kemin Zhou; Gregory Salomon; Eva Wu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 115 KB

This paper proposes a new balanced realization and model reduction method for possibly unstable systems by introducing some new controllability and observability Gramians. These Gramians can be related to minimum control energy and minimum estimation error. In contrast to Gramians defined in the lit