@InProceedings{Kukelova-etal-AMOS-2013-InProceedings,
  IS = { zkontrolovano 16 Jan 2014 },
  UPDATE  = { 2014-01-06 },
  author =     {Kukelova, Zuzana and Krsek, Pavel and Smutny, Vladimir and Pajdla, Tomas},
  title =      {Groebner basis solutions to satellite trajectory control by pole placement},
  year =       {2013},
  pages =      {748--757},
  booktitle =    {Proceedings of the Advanced Maui Optical and Space
                  Surveillance Technologies Conference},
  publisher =    {Maui Economic Development Board},
  address =      {Kihei, US},
  issn        = {2152-4629},
  book_pages =   {700},
  month =        {September},
  day =          {10-13},
  venue =        {Maui, USA},
  annote =     {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. We show 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 and computation of roots of a single variable
                  polynomial. The maximum degree of this polynomial is
                  not greater than six in general but for most
                  combinations of the input free parameters its degree
                  is even lower.},
  keywords =   {satellite trajectory control, Groebner basis, pole placement, control design},
  prestige =     {international},
  authorship =   {25-25-25-25},
  note =         {on-line proceedings},
  project =      {HS MUMOIRE, FP7-SPACE-312377 PRoViDE, SGS12/191/OHK3/3T/13},
  psurl =        {http://www.amostech.com/TechnicalPapers/2013/POSTER/KUKELOVA.pdf},
}