Set membership approach for reducing value sets in the frequency domain

Author

Rotstein, Héctor ; Galperin, Noam ; Gutman, Per-Olof

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

43

Issue

9

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

1346

Lastpage

1350

Abstract

Previously, several nonparametric robust identification algorithms have been proposed that generate a collection of frequency-dependent value sets where the true model of a linear time-invariant system is assumed to lie. If the system is also assumed to have restricted complexity, then the identified value sets may be conservative. The purpose of this paper is to investigate this problem of conservativeness from a set membership viewpoint and propose an algorithm for computing the largest value sets contained in the original ones that can be generated by a model of fixed structure but unknown parameters

Keywords

frequency response; frequency-domain analysis; parameter estimation; reduced order systems; set theory; conservativeness; linear time-invariant system; nonparametric robust identification algorithms; set membership approach; value sets reduction; Automatic control; Frequency domain analysis; Frequency response; Linear algebra; Parameter estimation; Robustness; State-space methods; Time factors; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.718633

Filename

718633