On design of reduced-order ℋ2 filters for discrete repetitive processes

In this paper we consider the problem of designing reduced-order H₂ filters for discrete linear repetitive processes (LRPs). The design criterion is that a reduced-order filter thus designed must guarantee the filtering error process to be stable along the pass and meantime minimize an upper bound for the H₂ norm of its transfer function. The convex linearization approach is developed to fulfil the task of designing the desired reduced-order H₂ filters. The performance of the designed filter is demonstrated by numerical results.