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Robust Filtering for Linear Systems With Convex-Bounded Uncertain Time-Varying Parameters

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3 Author(s)
de Souza, Carlos E. ; Laboratorio Nacional de Computacao Cientffica, Petropolis ; Barbosa, K.A. ; Trofino, Alexandre

This note addresses the design of robust H2 filters for linear systems with a state-space model subject to time-varying uncertain parameters with limited variation. The uncertain parameters and their rate of variation are assumed to belong to a given convex-bounded polyhedral domain. A method based on a parameter-dependent Lyapunov function is proposed for designing a linear stationary asymptotically stable filter with a guaranteed average error variance, irrespective of the uncertain parameters. The proposed design is formulated in terms of linear matrix inequalities.

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Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 6 )