A Note on Discrete-System Reduction via Impulse Response Gramian

Younseok CHOO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E88-A   No.2   pp.599-601
Publication Date: 2005/02/01
Online ISSN: 
DOI: 10.1093/ietfec/e88-a.2.599
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Systems and Control
model reduction,  impulse response Gramian,  Markov parameter,  time-moment,  

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Recently Azou et al. proposed a method of model reduction for discrete systems based on a new impulse response Gramian. The reduced model was derived by first approximating the low-order impulse response Gramian, and then matching some Markov parameters and time-moments of an original model. In this note a modified method is presented so that the reduced model exactly preserves the low-order impulse response Gramian together with a slightly different set of Markov parameters and time-moments of the original model.