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

fYear

2007

fDate

2-5 July 2007

Firstpage

5439

Lastpage

5446

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7068695

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2164947