A condition of the eigenvalues of detection filters for disturbance attenuation: an invariant zero approach

Author

Kim, Yongmin ; Park, Jaehong

Author_Institution

Sch. of Electr. Eng., Seoul Nat. Univ., South Korea

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

475

Abstract

This paper investigates the response characteristics of detection filters and proposes a condition of disturbance attenuation by analyzing the distribution of the closed-loop eigenvectors with respect to the eigenvalues. As an invariant factor of the detection space, invariant zeros are selected. It is shown that the closed-loop eigenvectors are determined by the linear equations of eigenvalues utilizing the one-to-one correspondence between the eigenvectors and the invariant zero vectors. Based on this result, we present a condition of the eigenvalues associated with the disturbances to reduce their effect in the output space for the case of disturbance accommodation.

Keywords

eigenvalues and eigenfunctions; fault diagnosis; filters; invariance; linear systems; closed loop eigenvectors; detection filters; disturbance attenuation; eigenvalues; invariant zero vector; linear equations; one-to-one correspondence; Attenuation; Design methodology; Eigenvalues and eigenfunctions; Equations; Event detection; Fault detection; Linear systems; Nonlinear filters; Subspace constraints; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272608

Filename

1272608