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Reduced-order [formula omitted]filtering for discrete linear repetitive processes

Authors
Publisher
Elsevier B.V.
Publication Date
Volume
91
Issue
7
Identifiers
DOI: 10.1016/j.sigpro.2011.01.007
Keywords
  • Discrete-Time
  • [Formula Omitted]Filtering
  • Linear Repetitive Processes (Lrps)
  • Reduced-Order
Disciplines
  • Design

Abstract

Abstract This paper is concerned with the reduced-order 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 H 2 norm of its transfer function. Two different approaches are proposed to solve the reduced-order 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.

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