Generalized H/sub 2/ control synthesis for periodic systems

A control synthesis of periodic processes is addressed in this paper. A class of linear discrete time periodic systems with performance specified by the generalized H/sub 2/ operator norm is considered. The paper proposes a LMI solution to this problem, the sufficient and necessary conditions for solvability of H/sub 2/ suboptimal control axe stated. An algorithm for state feedback control synthesis is provided.