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In this paper satisfactory control for discrete-time linear periodic systems is studied.Based on a suitable time-invariant state sampled reformulation,periodic state feedback controller has been designed such that desired require-ments of steady state covariance,H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously.By using satisfactory control theory,the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities(LMIs),and a feasible designing approach is presented via LMI technique.Numeric example validates the obtained conclusion.
In this paper satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampling reformulation, periodic state feedback controller has been designed such that required require-ments of steady state covariance, H-infinity rejection bound and regional pole assignment for the periodic system are met. By using satisfactory control theory, the problem of satisfying periodic controller can be transformed into linear programming problem subject to a set of linear matrix inequalities (LMIs) via LMI technique. Example example validates the obtained conclusion.