Title :
Optimal H∞ approximation by systems of prescribed order using frequency response data
Author :
Glaum, M. ; Lin, L. ; Zames, G.
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
Abstract :
A method is given for the H∞ approximation of discrete-time systems of arbitrary order, whose frequency responses have derivatives satisfying an a priori bound and are specified only by corrupted measurements at m frequencies. The approximation is by polynomial systems of prescribed order r-1. The method is based on convex optimization. Bounds on the approximation error and its departure from optimality are derived. In certain cases the approximation approaches optimality
Keywords :
H∞ control; approximation theory; discrete time systems; frequency response; identification; minimisation; polynomials; transfer functions; approximation error bounds; convex optimization; corrupted measurements; discrete-time systems; frequency response data; optimal H∞ approximation; optimality; polynomial systems; Approximation error; Computer aided engineering; Electric variables measurement; Frequency measurement; Frequency response; Optimization methods; Polynomials; Reduced order systems; Transfer functions;
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.1996.573119
