Rational wavelets in model reduction and system identification

Author

Pati, Y.C. ; Krishnaprasad, P.S.

Author_Institution

Inf. Syst. Lab., Stanford Univ., CA, USA

Volume

4

fYear

1994

Firstpage

3394

Abstract

In this paper we describe the application of rational wavelet decompositions of the Hardy space H²(II⁺) to rational approximation of transfer functions of stable, linear, time-invariant systems. The intent of the current paper is to provide an account of the authors´ earlier work (1992) in this area and to describe some developments in efficient computational methods for rational wavelet approximation. It is shown by means of several examples that rational wavelets can provide `good´ approximations to some important classes of linear systems

Keywords

computational complexity; identification; reduced order systems; transfer functions; wavelet transforms; H²(II⁺); Hardy space; efficient computational methods; model reduction; rational wavelet approximation; rational wavelet decompositions; stable linear time-invariant systems; system identification; transfer functions; Approximation algorithms; Contracts; Information systems; Lattices; Matching pursuit algorithms; Pursuit algorithms; Reduced order systems; System identification; Transfer functions; Wavelet domain;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on

Conference_Location

Lake Buena Vista, FL

Print_ISBN

0-7803-1968-0

Type

conf

DOI

10.1109/CDC.1994.411669

Filename

411669