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

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

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

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

Computer Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	Publ by IEEE
Pages	411-415
Number of pages	5
ISBN (Print)	0780304500
State	Published - Jan 1992
Event	Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl Duration: Dec 11 1991 → Dec 13 1991

Publication series

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

Other

Other	Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
City	Brighton, Engl
Period	12/11/91 → 12/13/91

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Wang, M, Lee, EB & Boley, D 1992, Matrix pencil and matrix measure methods for robust stability in real parameter spaces. in Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, Publ by IEEE, pp. 411-415, Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3), Brighton, Engl, 12/11/91.

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N2 - 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.

AB - 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.

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M3 - Conference contribution

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - Proceedings of the IEEE Conference on Decision and Control

PB - Publ by IEEE

T2 - Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)

Y2 - 11 December 1991 through 13 December 1991

ER -

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

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