Title :
Weighted optimal Hankel norm model reduction
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
This paper gives a complete solution to the frequency weighted Hankel norm approximation with antistable weighting. These results are then applied to L∞ norm model reduction and several numerical effective algorithms are proposed. It is shown through several numerical examples that these algorithms work very well and in many cases produce almost optimal solutions
Keywords :
approximation theory; matrix algebra; modelling; optimisation; ℒ∞ norm model reduction; antistable weighting; frequency weighted Hankel norm approximation; weighted optimal Hankel norm model reduction; Approximation algorithms; Approximation error; Electronic mail; Frequency; Poles and zeros; Polynomials; Reduced order systems; State-space methods;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325818
