Title :
Rational L2 approximation: a non-gradient algorithm
Author :
Lepschy, A. ; Mian, Gian ; Pinato, G. ; Viaro, U.
Author_Institution :
Dept. of Electron. & Inf., Padova Univ., Italy
Abstract :
The problem of determining the best rational approximant of a given rational transfer function of higher order according to the L 2-norm criterion is considered. An efficient algorithm is presented that makes it possible to find a (local) minimum without evaluating derivatives. It is based on a reformulation of the necessary conditions for optimality in terms of interpolation constraints. Examples show that the algorithm converges rapidly to a solution even if started from poor initial guesses
Keywords :
approximation theory; interpolation; minimisation; optimal control; transfer functions; interpolation constraints; minimisation; necessary conditions; nongradient algorithm; optimal control; rational L2 approximation; rational transfer function; Approximation algorithms; Interpolation; Nonlinear equations; Polynomials; Transfer functions; Vectors;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261583
