Independent parameter control in multivariable systems.

This paper presents new results for a theory of eigenvalue modification through feedback gain vector parameter variation. A basis for the gain vector space is developed using large-scale perturbations of the eigenvalues such that movement of the gain vector along a direction in this space affects the position of only one real eigenvalue, or of a complex conjugate pair of eigenvalues. It is shown that this basis can be also used to directly compute the incremental sensitivities of the eigenvalues to the individual gain vector elements. Numerical examples are included to illustrate these theoretical concepts.

Main Author: Berger, W.
Other Authors: Perry, R., Sun, H.
Language: English
Published: 1989
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178432
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dc_source_str_mv Proceedings of the 1989 American Control Conference, June 1989, 316-317.
author Berger, W.
author_facet_str_mv Berger, W.
Perry, R.
Sun, H.
author_or_contributor_facet_str_mv Berger, W.
Perry, R.
Sun, H.
author_s Berger, W.
spellingShingle Berger, W.
Independent parameter control in multivariable systems.
author-letter Berger, W.
author_sort_str Berger, W.
author2 Perry, R.
Sun, H.
author2Str Perry, R.
Sun, H.
dc_title_str Independent parameter control in multivariable systems.
title Independent parameter control in multivariable systems.
title_short Independent parameter control in multivariable systems.
title_full Independent parameter control in multivariable systems.
title_fullStr Independent parameter control in multivariable systems.
title_full_unstemmed Independent parameter control in multivariable systems.
collection_title_sort_str independent parameter control in multivariable systems.
title_sort independent parameter control in multivariable systems.
description This paper presents new results for a theory of eigenvalue modification through feedback gain vector parameter variation. A basis for the gain vector space is developed using large-scale perturbations of the eigenvalues such that movement of the gain vector along a direction in this space affects the position of only one real eigenvalue, or of a complex conjugate pair of eigenvalues. It is shown that this basis can be also used to directly compute the incremental sensitivities of the eigenvalues to the individual gain vector elements. Numerical examples are included to illustrate these theoretical concepts.
publishDate 1989
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dc.title Independent parameter control in multivariable systems.
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Perry, R.
Sun, H.
dc.description This paper presents new results for a theory of eigenvalue modification through feedback gain vector parameter variation. A basis for the gain vector space is developed using large-scale perturbations of the eigenvalues such that movement of the gain vector along a direction in this space affects the position of only one real eigenvalue, or of a complex conjugate pair of eigenvalues. It is shown that this basis can be also used to directly compute the incremental sensitivities of the eigenvalues to the individual gain vector elements. Numerical examples are included to illustrate these theoretical concepts.
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dc.source Proceedings of the 1989 American Control Conference, June 1989, 316-317.
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