Reduced-order H2 H 2 filtering for discrete linear repetitive processes ?
This paper is concerned with the reduced-order H2 H 2 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 H2 H 2 norm of its transfer function. Two different approaches are proposed to solve the reduced-order H2 H 2 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.
reduced-order linear repetitive processes (lrps) discrete-time h2 h 2 filtering h2 h 2 h2 h 2 h 2