Journal
AUTOMATICA
Volume 49, Issue 8, Pages 2446-2452Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2013.04.014
Keywords
Robust H-infinity filtering; Finite frequency (FF); Two-dimensional (2-D) systems; Fornasini-Marchesini (FM) model
Funding
- 973 Project [2009CB320600]
- National Natural Science Foundation of China [61273201, 61203035, 61021002]
- Key Laboratory of Integrated Automation for the Process Industry (Northeast University)
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This paper is concerned with the problem of robust finite frequency (FF) H-infinity filtering for uncertain two-dimensional (2-D) discrete-time systems in the Fornasini-Marchesini local state-space (FM LSS) model with polytopic uncertain parameters. The goal of the paper is to design filters such that the FF H-infinity norm of the filtering error system has a specified upper bound for all uncertainties. In light of a recently developed generalized bounded real lemma, a linear matrix inequality-based approach is proposed for robust FF H-infinity filter analysis and design. It is demonstrated that the presented approach to robust FF H-infinity filter design covers the latest standard H-infinity filtering result. Moreover, it is shown that the existing results specialized for the Roesser model, when applied to the FM LSS model through a model transformation, are much more restrictive than the proposed results in the paper, further justifying this work. (C) 2013 Elsevier Ltd. All rights reserved.
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