An adaptive algorithm for identification of IIR systems

Author

Ahn, Changbum

Author_Institution

Dept. of Mech. Eng. & Appl. Mech., Michigan Univ., Ann Arbor, MI, USA

fYear

1993

fDate

15-17 Dec 1993

Firstpage

2595

Abstract

An adaptive identification algorithm formulated with a weight matrix is proposed. The series-parallel model is used with tapped delay lines to represent a dynamic mapping problem. Hyland´s idea (1991) using a constraint matrix with Hadamard (element-by-element)-product to preserve the causality of dynamical systems is extended to IIR systems. By introducing an appropriate constraint matrix corresponding to the parameterization we can directly obtain the parameter without subsequent realization. The adaptive step size of the proposed algorithm is derived by using a projection technique. Stability and convergence of the proposed algorithm are investigated with appropriate assumptions. Simulation results are included to demonstrate the convergence of the proposed algorithm

Keywords

convergence; identification; matrix algebra; stability; Hadamard-product; IIR systems identification; adaptive algorithm; adaptive step size; constraint matrix; convergence; dynamical systems causality; element-by-element product; series-parallel model; stability; tapped delay lines; weight matrix; Adaptive algorithm; Convergence; Delay lines; Equations; Erbium; Gaussian processes; Mechanical engineering; Neural networks; Recurrent neural networks; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325666

Filename

325666