Title :
Approximation of infinite dimensional systems
Author :
Gu, Guoxiang ; Khargonekar, Pramod P. ; Lee, E. Bruce
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
The approximation of infinite-dimensional system models was studied using a Fourier transform technique. Convergence conditions were established and a frequency-response error bound in terms of the H ∞ norm derived. The approximate model can be directly computed using an FFT-type algorithm. Examples are given to illustrate the technique
Keywords :
Fourier transforms; frequency response; multidimensional systems; Fourier transform; H∞ norm; approximation; frequency-response error bound; infinite dimensional systems; Approximation algorithms; Approximation methods; Convergence; Fourier series; Fourier transforms; Frequency domain analysis; Frequency response; Hilbert space; Reduced order systems; Transfer functions;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194461
