Abstract:For some special linear time-varying systems, a state-feedback stabilization controller design technique is proposed. By using the controller, a linear time-varying system can be converted to a time-invariant stable system. By employing the parametric eigenstructure assignment method for linear systems, the analytical form of the stabilization feedback controller is constructed, which includes a set of unknown parameters. The solvability criterion of the stabilization controller is transformed to some constraints on the unknown parameters. Then a multi-objective optimization is realized on basis of the criterion. The design technique is verified in a time-varying satellite attitude control system and the results illustrate the effectiveness of the proposed method.