Title :
Matrix rational H2 approximation and Schur parameters
Author :
Fulcheri, Pascale ; Olivi, Martine
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Sophia-Antipolis, France
Abstract :
This paper deals with the rational approximation of specified order n to transfer functions which are assumed to be matrix valued functions in the Hardy space for the complement of the closed unit disk endowed with the L2-norm. An approach is developed leading to a new algorithm, the first one to our knowledge which concerns matrix transfer functions in L2-norm. This algorithm proceeds inductively on the order n of the approximant using a gradient algorithm to find local minima through the manifold of inner functions of McMillan degree n. These functions are represented by means of local coordinate maps that come from a matricial version of the Schur algorithm
Keywords :
H∞ control; gradient methods; matrix algebra; transfer functions; Hardy space; L2-norm; Schur algorithm; Schur parameters; closed unit disk; gradient algorithm; inner function manifold; local coordinate maps; matrix rational H2 approximation; matrix transfer functions; matrix valued functions; transfer functions; Approximation algorithms; Cost function; Hydrogen; Tellurium; Transfer functions;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833257
