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Robust filtering for uncertain linear discrete-time descriptor systems. (English) Zbl 1283.93285

Summary: This paper is concerned with the problem of robust filtering for uncertain linear discrete-time descriptor systems. The matrices of the system state-space model are uncertain, belonging to a given polytope. A linear matrix inequality based method is proposed for designing a linear stationary filter that guarantees the asymptotic stability of the estimation error and gives an optimized upper bound on the asymptotic error variance, irrespective of the parameter uncertainty. The proposed robust filter design is based on a parameter-dependent Lyapunov function, which is shown to outperform parameter-independent ones.

MSC:

93E11 Filtering in stochastic control theory
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
93B35 Sensitivity (robustness)
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