Groebner basis solutions to satellite trajectory control by pole placement

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

Groebner basis solutions to satellite trajectory control by pole placement

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Groebner basis solutions to satellite trajectory control by pole placement

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

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Projekt

<a href="/cs/project/7E13015" target="_blank" >7E13015: Planetary Robotics Data Exploitation</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

10

Strana od-do

748-757

Název nakladatele

Maui Economic Development Board

Místo vydání

Kihei

Místo konání akce

Maui

Datum konání akce

10. 9. 2013

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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