Abstract
A characteristic multiplier assignment problem for continuous-time periodic systems with analytic coefficients is considered. First, the necessary and sufficient condition for controllability is shown. Under this condition, an algorithm for assigning a set of characteristic multipliers is proposed. The algorithm is constructed by a simple repetitive procedure, and is suited to computer programming. The given feedback gain matrix is composed of a sequence of Dirac delta functions; such a feedback system can easily be implemented using proper approximation to the delta function. Lastly, the design method is applied to the attitude control problem of a spin-stabilized satellite, and some simulation results are given.
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