Groebner basis solutions to satellite trajectory control by pole placement

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00211770" target="_blank" >RIV/68407700:21230/13:00211770 - isvavai.cz</a>
Result on the web
<a href="http://www.amostech.com/TechnicalPapers/2013/POSTER/KUKELOVA.pdf" target="_blank" >http://www.amostech.com/TechnicalPapers/2013/POSTER/KUKELOVA.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Groebner basis solutions to satellite trajectory control by pole placement
Original language description
Controlling satellite trajectories is an important problem. In [12], an approach to the pole placement for the synthesis of a linear controller has been presented. It leads to solving ?ve polynomial equations in nine unknown elements of the state space matrices of a compensator. This is an underconstrained system and therefore four of the unknown elements need to be considered as free parameters and set to some prior values to obtain a system of ?ve equations in ?ve unknowns. In [12], this system was solved for one chosen set of free parameters by Dixon resultants. In this work, we study and present Groebner basis solutions to this problem of computation of a dynamic compensator for the satellite for different combinations of free input parameters. Weshow that the Groebner basis method for solving systems of polynomial equations leads to very simple solutions for all combinations of free parameters. These solutions require to perform only the Gauss-Jordan elimination of a small matrix
Czech name
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Czech description
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Project
<a href="/en/project/7E13015" target="_blank" >7E13015: Planetary Robotics Data Exploitation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the Advanced Maui Optical and Space Surveillance Technologies Conference
ISBN
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ISSN
2152-4629
e-ISSN
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Number of pages
10
Pages from-to
748-757
Publisher name
Maui Economic Development Board
Place of publication
Kihei
Event location
Maui
Event date
Sep 10, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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