Plane geometry and convexity of polynomial stability regions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F08%3A03145471" target="_blank" >RIV/68407700:21230/08:03145471 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Plane geometry and convexity of polynomial stability regions
Original language description
The set of controllers stabilizing a linear system is generally non-convex in the parameter space. In the case of two-parameter controller design (e.g. PI control or static output feedback with one input and two outputs), we observe however that quite often for benchmark problem instances, the set of stabilizing controllers seems to be convex. In this note we use elementary techniques from real algebraic geometry (resultants and B´ezoutian matrices) to explain this phenomenon. As a byproduct, we derivea convex linear matrix inequality (LMI) formulation of two-parameter fixed-order controller design problem, when possible.
Czech name
Geometrie roviny a konvexita polynomiálních oblastí stability
Czech description
Geometrie roviny a konvexita polynomiálních oblastí stability

Project
<a href="/en/project/GA102%2F08%2F0186" target="_blank" >GA102/08/0186: Algorithms for Complex Systems Analysis and Control Design</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the International Symposium on Symbolic and Algebraic Computations
ISBN
978-1-59593-904-3
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
Association of Computing Machinery
Place of publication
New York
Event location
Hagenberg
Event date
Jul 20, 2008
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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