Reduced-order H2H2 filtering for discrete linear repetitive processes

This paper is concerned with the reduced-order H2H2 filtering problem for discrete linear repetitive processes (LRPs). For a discrete linear repetitive process (LRP) assumed to be stable along the pass, our attention is focused on the design of a reduced-order filter, which guarantees the filtering error process to be stable along the pass, and minimizes an upper bound for the H2H2 norm of its transfer function. Two different approaches are proposed to solve the reduced-order H2H2 filtering problem: one is the convex linearization approach and the other is the projection approach. A numerical example is presented to illustrate the feasibility of the proposed methodologies.