Numeric-Symbolic Solution for Satellite Trajectory Control by Pole Placement

Control design of satellites based on pole placement method results in determined or underdetermined multivariable polynomial systems. Since only the real solutions can be considered for hardware implementation, we are looking for exclusively these solutions. In this study we suggest a numeric-symbo...

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Vydáno v:Periodica polytechnica. Civil engineering. Bauingenieurwesen Ročník 57; číslo 1; s. 21 - 26
Hlavní autor: Palancz, Beta
Médium: Journal Article
Jazyk:angličtina
Vydáno: Budapest Periodica Polytechnica, Budapest University of Technology and Economics 2013
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ISSN:0553-6626, 1587-3773
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Shrnutí:Control design of satellites based on pole placement method results in determined or underdetermined multivariable polynomial systems. Since only the real solutions can be considered for hardware implementation, we are looking for exclusively these solutions. In this study we suggest a numeric-symbolic approach to compute only the real solutions directly. Employing computer algebra (Dixon or reduced Gröbner basis) a condition can be formulated for the free variables as parameters of the underdetermined system, which ensures only real solutions. Numerical example illustrates the procedure and the effectivity of the control law.
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ISSN:0553-6626
1587-3773
DOI:10.3311/PPci.2138