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LMI approach to the mixed H2/H filtering design for discrete-time uncertain systems

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2 Author(s)
Palhares, R.M. ; Pontificia Univ. Catolica de Minas Gerais, Brazil ; Peres, P.L.D.

The problem of full-order robust filtering design for discrete-time uncertain linear systems is addressed. The uncertain parameters are assumed to belong to convex bounded domains (polytope type uncertainty). The main purpose is to design a stable linear filter such that the filtering error output signal remains bounded. For that, the parameterization of all linear filters assuring quadratic stability with an H attenuation constraint to the filtering error system is provided in terms of linear matrix inequalities (LMIs). Then, through the definition of an auxiliary cost, an upper bound to the filtering error variance is minimized, providing a mixed H2/H guaranteed cost filtering design. Standard optimization procedures with global convergence assured can be used to solve the problem, as illustrated by an example

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:37 ,  Issue: 1 )