Title :
Robust reduced order unbiased filtering via LMI
Author :
Darouach, M. ; Zasadzinski, M. ; Ali, H. Souley
Author_Institution :
IUT de Longwy, Univ. Henri Poincare Nancy I, Cosnes-et-Romain, France
Abstract :
For both continuous and discrete-time cases, this paper presents a simple solution to the robust H∞ unbiased functional reduced order filtering problem via LMI methods in the presence of norm-bounded time-varying uncertainties. Necessary and sufficient conditions for the existence and the stability of the unbiased filter are given in the nominal case; the filter differs from that of [1] (only nominal case is considered in [1]) by the presence of direct feed through term, and the minimality of the filter order is discussed.
Keywords :
H∞ filters; continuous time systems; linear matrix inequalities; reduced order systems; uncertain systems; H∞ unbiased functional reduced order filtering problem; LMI methods; continuous-time cases; direct feedthrough term; discrete-time cases; filter order minimality; norm-bounded time-varying uncertainties; robust reduced order unbiased filtering; Equations; Europe; Filtering; Robustness; Uncertain systems; Uncertainty; Vectors; Bounded Uncertainly; LMI; Lyapunov Design; Reduced Order Observers; Robust Filtering;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
