Computing robustness of system properties with respect to structured real matrix perturbations

Author

Wicks, Mark A. ; DeCarlo, Raymond A.

Author_Institution

Dept. of Electr. & Comput. Eng., GMI Eng. & Manage. Inst., Flint, MI, USA

fYear

1992

fDate

1992

Firstpage

1909

Abstract

The authors investigate the problem of computing the minimum norm parameter variation that makes some system property fail to hold. They outline an approach which allows several similar system properties to be treated within the same framework. The allowable perturbations are characterized by linear spaces. The system property is characterized by the rank of a matrix pencil, or a collection of matrix pencils. A descent algorithm is formulated based on singular value techniques which converges to a local minimum for a solution of the problem

Keywords

control system analysis; controllability; damping; matrix algebra; poles and zeros; stability; asymptotic stability; collection; controllability; damping ratio; descent algorithm; linear spaces; matrix pencil; minimum norm parameter variation; pole locations; rank; robustness; singular value techniques; structured real matrix perturbations; system properties; Artificial intelligence; Asymptotic stability; Control systems; Controllability; Damping; Eigenvalues and eigenfunctions; Engineering management; Robustness;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371098

Filename

371098