Search results for "Filter analysis"

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Robust H;<inf>∞</inf> filtering for 2-D FM systems: A finite frequency approach

2012

This paper investigates the problem of robust H; ∞ filtering for uncertain two-dimensional (2-D) discrete 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 finite frequency (FF) H; ∞ norm of the filtering error system has a specified upper bound for all uncertainties. A generalized bounded real lemma (BRL) is first derived for FF H; ∞ performance analysis of nominal 2-D FM LSS systems, and then a method, in terms of solving optimization problems with LMI constraints, is presented for robust FF H; ∞ filter analysis and design. An illustrative example is given to show the improveme…

Filter designFilter analysisOptimization problemControl theoryNorm (mathematics)Uncertain systemsUpper and lower boundsBounded real lemmaMathematics2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
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