Title :
LPV approach for ℋ∞ reduced order filters for bilinear systems
Author :
Gerard, B. ; Souley Ali, H. ; Zasadzinski, M. ; Darouach, M.
Author_Institution :
Centre de Rech. en Autom. de Nancy, Nancy-Univ., Cosnes et Romain, France
Abstract :
This paper deals with the ℋ∞ reduced order unbiased filtering problems for a nominal bilinear system. After solving the unbiasedness condition with an algebraic framework, an LPV approach is used to reduce the conservatism inherent to the boundeness of the inputs and the ℋ∞ filtering. Then the reduced order filtering solution is expressed in terms of LMI to verify at the vertices of a polytope.
Keywords :
H∞ filters; H∞ optimisation; bilinear systems; linear matrix inequalities; linear parameter varying systems; reduced order systems; H∞ reduced order unbiased filtering problems; LMI; LPV approach; algebraic framework; linear parameter varying systems; nominal bilinear system; polytope vertices; unbiasedness condition; Attenuation; Equations; Linear matrix inequalities; Linear systems; Nonlinear systems; Stability criteria; Vectors; ℋ∞ optimization; Bilinear systems; LMI; LPV; Reduced order filtering; Unbiasedness;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
