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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Veröffentlicht in:Periodica polytechnica. Civil engineering. Bauingenieurwesen Jg. 57; H. 1; S. 21 - 26
1. Verfasser: Palancz, Beta
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Budapest Periodica Polytechnica, Budapest University of Technology and Economics 2013
Schlagworte:
Design engineering
ISSN:0553-6626, 1587-3773
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Abstract 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.
AbstractList 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 Grobner 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.
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.
Author Paláncz, Béla
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Snippet Control design of satellites based on pole placement method results in determined or underdetermined multivariable polynomial systems. Since only the real...
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Title Numeric-Symbolic Solution for Satellite Trajectory Control by Pole Placement
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