On MIMO model reduction by the weighted equation-error approach

被引：4
作者：
Krajewski, Wieslaw
Viaro, Umberto
机构：
[1] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland
[2] Univ Udine, Dipartimento Ingn Elettr Gestionale & Meccanica, I-33100 Udine, Italy
来源：
NUMERICAL ALGORITHMS | 2007年 / 44卷 / 01期
关键词：
linear systems; model reduction; equation error; Markov parameters; time moments;
D O I：
10.1007/s11075-007-9086-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the problem of approximating a stable continuous-time multivariable system by minimizing the L (2)-norm of a weighted equation error. Necessary and sufficient conditions of optimality are derived, and the main properties of the optimal reduced-order models are presented. Based on these conditions and properties, two efficient procedures for generating approximants that retain different numbers of Markov parameters and time moments are suggested and applied to benchmark examples. The results show that both the transient and the steady-state behaviour of the original systems are reproduced satisfactorily.
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页码：83 / 98
页数：16
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