Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 54, Issue 1, Pages 274-285Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2005.861055
Keywords
linear matrix inequality (LMI); nonlinear fraction; transformation; robust filter; time-delay systems; two-dimensional (2-D) systems
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This paper is concerned with the robust filtering problem for two-dimensional (2-D) state-delayed systems with uncertainties represented by nonlinear fraction transformation. The authors first establish the stability H-infinity performance and generalized H-2 performance criteria for the system. Based on the results, the authors propose efficient methods to solve the robust W. filtering, generalized H-2 filtering, and mixed generalized H-2/H-infinity filtering problems by using a parameter-dependent Lyapunov function approach. The methods involve solving linear matrix inequalities. Two examples are given to show the effectiveness of the proposed approach.
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