Model reduction for singular systems via covariance approximation | Zendy

Jing Wang | Zendy; Liu Wanquan | Zendy; Zhang QingLing | Zendy

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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.

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