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A New Consideration for Discrete-System Reduction via Impulse Response Gramian  

Younseok Choo (School of Electronic, Electrical and Computer Engineering, Hongik University)
Park, Jaeho (School of Electrical and Electronic Engineering, Chungbuk National University)
Publication Information
International Journal of Control, Automation, and Systems / v.2, no.3, 2004 , pp. 384-389 More about this Journal
Abstract
Recently a method of model reduction for discrete systems has been proposed in the literature based on a new impulse response Gramian. In this method, the system matrix$A_r$ of a reduced model is computed by approximating the reduced-order impulse response Gramian. The remaining matrices $b_r$ and $c_r$ are obtained so that various initial Markov parameters and time-moments of the original system are preserved in the reduced model. In this paper a different approach is presented based on the recursive relationship among the impulse response Gramians.
Keywords
Impulse response gramian; discrete-system; model reduction; Lyapunov equation;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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