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Model reduction for singular systems via covariance approximation
Author(s) -
Jing Wang,
Liu Wanquan,
Zhang QingLing
Publication year - 2004
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.746
Subject(s) - covariance , reduction (mathematics) , impulse (physics) , mathematics , mathematical optimization , singular solution , computer science , impulse response , mathematical analysis , statistics , physics , geometry , quantum mechanics
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 © 2005 John Wiley & Sons, Ltd.