Matrix pencil and matrix measure methods for robust stability in real parameter spaces

M. Wang, E. B. Lee, D. Boley

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The authors report on a study of robust stability in a real parameter space for robot polynomial type spaces and matrix type spaces. Using the Sylvester resultant matrix or the Kronecker sum the robust stability question can be converted into a generalized eigenvalue problem of a matrix pencil. Some sufficient and necessary conditions are given. The admissible perturbation set is also defined. This set can be found via a generalized eigenvalue computation. A method is proposed to compute a polytope to approximate a maximal admissible perturbation set via a matrix measure. Some results can be extended to the discrete-time case.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages411-415
Number of pages5
ISBN (Print)0780304500
StatePublished - Jan 1992
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period12/11/9112/13/91

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