Identification via Fourier series for a class of lumped and distributed parameter systems

Author

Mohan, B.M. ; Datta, K.B.

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India

Volume

36

Issue

11

fYear

1989

fDate

11/1/1989 12:00:00 AM

Firstpage

1454

Lastpage

1458

Abstract

The operational matrix of integration and a one-shot operational matrix for repeated integration (OSOMRI) are used to estimate the parameters and the initial and boundary conditions of linear, time-invariant, lumped-parameter systems. It is demonstrated that OSOMRI provides better accuracy than the conventional operational matrix of integration. An algorithm for distributed-parameter system identification using Fourier series is included. A comparative study of the estimates obtained by the proposed method for both types of system with those in the literature obtained by other methods is carried out

Keywords

distributed parameter networks; distributed parameter systems; identification; lumped parameter networks; series (mathematics); Fourier series; boundary conditions; distributed parameter systems; lumped-parameter systems; one-shot operational matrix; operational matrix; repeated integration; Boundary conditions; Chebyshev approximation; Distributed parameter systems; Fourier series; Jacobian matrices; Parameter estimation; System identification;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.41303

Filename

41303