H2-optimization of sampled-data systems with a linear periodic plant. I. Parametric transfer matrix and its properties

Abstract

This paper suggests a solution procedure of the H₂-optimization problem for a sampled-data system with a periodic continuous plant and a sampled-data element whose sampling period coincides with the period of the plant. The procedure employs the concept of the parametric transfer matrix and the Wiener–Hopf method based on factorization and separation of rational matrices.