TY - JOUR
T1 - Relative Error Model Reduction via Time-Weighted Balanced Stochastic Singular Perturbation
AU - Tahavori, Maryamsadat
AU - Shaker, Hamid Reza
PY - 2012
Y1 - 2012
N2 - A new mixed method for relative error model reduction of linear time invariant (LTI) systems is proposed in this paper. This order reduction technique is mainly based upon time-weighted balanced stochastic model reduction method and singular perturbation model reduction technique. Compared to the other analogous counterparts, the proposed method shows to provide more accurate results in terms of time weighted norms when applied to the practical examples. It is shown that important properties of the time-weighted stochastic balanced reduction technique are extended to the mixed reduction method by using the concept and properties of the reciprocal systems. The results are further illustrated by two practical numerical examples: a model of CD player and a model of the atmospheric storm track.
AB - A new mixed method for relative error model reduction of linear time invariant (LTI) systems is proposed in this paper. This order reduction technique is mainly based upon time-weighted balanced stochastic model reduction method and singular perturbation model reduction technique. Compared to the other analogous counterparts, the proposed method shows to provide more accurate results in terms of time weighted norms when applied to the practical examples. It is shown that important properties of the time-weighted stochastic balanced reduction technique are extended to the mixed reduction method by using the concept and properties of the reciprocal systems. The results are further illustrated by two practical numerical examples: a model of CD player and a model of the atmospheric storm track.
UR - http://www.scopus.com/inward/record.url?scp=84867520626&partnerID=8YFLogxK
U2 - 10.1177/1077546311429008
DO - 10.1177/1077546311429008
M3 - Journal article
SN - 1077-5463
VL - 18
SP - 2006
EP - 2016
JO - Journal of Vibration and Control
JF - Journal of Vibration and Control
IS - 13
ER -