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This paper considers the problem of robust generalized H2 filtering for discrete-time linear systems with polytopic uncertainties. Based on parameter-dependent Lyapunov functions combined with Finsler's lemma, new conditions for the solvability of the problem are given in terms of linear matrix inequalities (LMIs). Compared to the existing results, more slack variables are introduced to provide extra freedom for the generalized H2 optimization which lead to improving the performance and reducing the conservatism further. An example is give to illustrate the effectiveness of the proposed method.
Control and Decision Conference (CCDC), 2010 Chinese
Date of Conference: 26-28 May 2010