Optimal 2-D separable-denominator approximants for 2-D transfer functions

被引:0
作者
Guo, TY [1 ]
Guo, JC [1 ]
机构
[1] NATL CHENG KUNG UNIV,DEPT CHEM ENGN,TAINAN 701,TAIWAN
关键词
2-D systems; model reduction; Routh algorithm; optimization;
D O I
10.1080/02533839.1997.9741823
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper is concerned with the optimal approximation of a general 2-D transfer function by a separable-denominator one with stability preservation. To preserve the stability, the two one-variable denominator polynomials of the reduced model are both represented in their bilinear Routh continued-fraction expansions. The bilinear Routh <(gamma)over cap> parameters of the two one-variable denominator polynomials and the coefficients of the two-variable numerator polynomial are then determined such that a frequency-domain L-2-norm is minimized. The main advantage of searching bilinear Routh <(gamma)over cap> parameters instead of denominator coefficients is that the stability constraints on the new decision parameters are simple bounds. To facilitate using a gradient-based algorithm, an effective numerical algorithm is also provided for computing the performance index and its gradients with respect to the decision variables.
引用
收藏
页码:213 / 221
页数:9
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