Identification of nonlinear systems via piecewise general orthogonal polynomials operator

Author

Bin, Wu

Author_Institution

Dept. of Autom., Tsinghua Univ., Beijing, China

Volume

3

fYear

2001

fDate

2001

Firstpage

2538

Abstract

Based on a hybrid orthogonal function, a new linear, continuous and bounded operator - the piecewise general orthogonal polynomials operator (PGOPO) is proposed. Its main properties and operational rules have been strictly constructed based on the theory of mean-square convergence; these are useful to discuss the orthogonal polynomial approach in the proper mathematical framework. Then, applying the PGOPO method to solve the identification problem of nonlinear systems, a convergence analysis of the PGOPO approximation method has been given. Finally, using the PGOPO method to solve the parameter identification of two kinds of time-varying systems, simulation studies show that the algorithm is simpler and more effective than that of general orthogonal polynomials

Keywords

convergence; mathematical operators; nonlinear systems; parameter estimation; piecewise polynomial techniques; time-varying systems; PGOPO approximation method; hybrid orthogonal function; linear continuous bounded operator; mean-square convergence; nonlinear systems identification; operational rules; piecewise general orthogonal polynomials operator; simulation; time-varying systems; Algorithm design and analysis; Approximation methods; Automation; Control theory; Convergence; Mathematics; Nonlinear systems; Parameter estimation; Polynomials; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980646

Filename

980646