Title :
Frequency weighted H2 and Hilbert-Schmidt-Hankel model reduction
Author :
Schelfhout, Geert ; Moor, Bart De
Author_Institution :
Katholieke Univ., Leuven, Belgium
Abstract :
Considers the problem of approximating a discrete time SISO system of order n by one of order at most r (r<n), minimizing the frequency weighted H2 and Hilbert-Schmidt-Hankel norms of the modeling error. Using Lagrange multipliers, the authors derive a set of necessary conditions, which are solved iteratively in a way inspired by the inverse power iteration algorithm for singular value decomposition
Keywords :
discrete time systems; reduced order systems; Hilbert-Schmidt-Hankel model reduction; Lagrange multipliers; discrete time SISO system; frequency weighted H2 model reduction; inverse power iteration algorithm; modeling error; singular value decomposition; Equations; Frequency; Iterative algorithms; Lagrangian functions; Power system modeling; Reduced order systems; Singular value decomposition; Time domain analysis;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411634
