A subspace-based method for solving Lagrange-Sylvester interpolation problems

被引:8
作者
Akcay, Hueseyin [1 ]
Turekay, Semiha [1 ]
机构
[1] Anadolu Univ, Dept Elect & Elect Engn, TR-26470 Eskisehir, Turkey
关键词
rational interpolation; Lagrange-Sylvester; identification; subspace-based;
D O I
10.1137/050622171
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the Lagrange-Sylvester interpolation of rational matrix functions which are analytic at infinity, and propose a new interpolation algorithm based on the recent subspace-based identification methods. The proposed algorithm is numerically efficient and delivers a minimal interpolant in state-space form. The solvability condition for the subspace-based algorithm is particularly simple and depends only on the total multiplicity of the interpolation nodes. As an application, we consider subspace-based system identification with interpolation constraints, which arises, for example, in the identification of continuous-time systems with a given relative degree.
引用
收藏
页码:377 / 395
页数:19
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