The H2 Control Problem with Internal Stability
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F04%3A03099584" target="_blank" >RIV/68407700:21230/04:03099584 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The H2 Control Problem with Internal Stability
Original language description
A solution of the H2 control problem is presented for linear systems described by rational transfer matrices. The solution proceeds in three steps. Firstly, the set of all controlers that stabilize internally the control system is parametrized. Then thesubset of the stabilizing controlers that achieve a finite value of the H2 norm of the system transfer function is described, also in parametric form. Finally, the optimal controller is obtained by selecting the parameter that minimizes the norm. The mathematical tool applied are doubly comprime, proper stable factorizations of rational matrices. Based on this description of the plant, two synthesis algorithms are derived: the primal and the dual one. The construction of the optimal controller requirestwo specific operations with proper stable rational matrices: inner-outer factorization and proper stable projection.
Czech name
Není k dispozici
Czech description
Není k dispozici
Classification
Type
D - Article in proceedings
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
IEEE Conference on Control Applications, International Symposium on Inteligent Control, Computer Aided Control Systems Design 2004
ISBN
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ISSN
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e-ISSN
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Number of pages
8
Pages from-to
107-114
Publisher name
IEEE Control System Society
Place of publication
New York
Event location
Taipei
Event date
Sep 2, 2004
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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