Title :
A subspace approach for approximation of rational matrix functions to sampled data
Author :
McKelvey, Tomas ; Helmersson, Anders
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
Algorithms for approximation of rational matrix factors to data is described. The method is based on a subspace based multivariable frequency domain state-space identification, canonical and spectral factorization and parametric optimization. The algorithms can be used for identifying spectral factors and factors of positive real functions from frequency data. The methods are directly applicable in the D-K algorithm for complex μ-synthesis and the Y-Z-K algorithm for mixed μ-synthesis
Keywords :
control system synthesis; frequency-domain analysis; function approximation; identification; matrix decomposition; multivariable systems; optimisation; sampled data systems; state-space methods; D-K algorithm; Y-Z-K algorithm; canonical factorization; complex μ-synthesis; frequency data; mixed μ-synthesis; parametric optimization; positive real functions; rational matrix function approximation; sampled data; spectral factorization; subspace approach; subspace-based multivariable frequency-domain state-space identification; Approximation algorithms; Automatic control; Councils; Data engineering; Filtering; Frequency domain analysis; Optimization methods; Robust control; Signal processing; Signal processing algorithms;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577197