The aim of this paper is to illustrate the application of numerical homotopy algorithms to control the trajectory of a satellite. We design output feedback laws via pole placement. The output feedback laws are computed by numerical homotopy algorithms, which are based on enumerative geometry. We combine the use of MATLAB with PHCpack.
2000 Mathematics Subject Classification : Primary 93B55. Secondary 14Q99, 65H10, 68W30, 93B27.
keywords : numerical homotopy algorithms, pole placement, satellite trajectory control.
In Proceedings of MTNS 2002, Mathematical Theory of Networks and Systems (CDROM), Notre Dame, August 12-16, 2002.