Perturbation bounds for root-clustering of linear systems in a specified second order subregion

Author

Baker, W. ; Luo, J.S. ; Johnson, A.

Author_Institution

ASPC Group, Amersfoort, Netherlands

Volume

40

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

473

Lastpage

478

Abstract

Sufficient bounds for structured and unstructured uncertainties for root-clustering in a specified second order subregion of the complex plane, for both continuous-time and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties, a still less conservative result is obtained by shifting the center or focus of the subregion along the real axis to the origin and by applying root-clustering to the “shifted eigenvalue” system matrix, which is obtained by shifting the eigenvalues of the system matrix correspondingly

Keywords

Lyapunov methods; eigenvalues and eigenfunctions; perturbation techniques; root loci; generalized Lyapunov theory; linear systems; perturbation bounds; root-clustering; second-order subregion; shifted eigenvalue system matrix; structured uncertainties; unstructured uncertainties; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Laboratories; Linear systems; Microcomputers; Process control; Sociotechnical systems; Symmetric matrices; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.376060

Filename

376060