Robust H 2 Filtering for Uncertain Nonlinear Systems

作     者：C.E. de Souza D.F. Coutinho K.A. Barbosa A. Trofino 

作者机构：Department of Systems and Control Laboratório Nacional de Computação Científica - LNCC Av. Getúlio Vargas 333 25651-075 Petrópolis RJ Brazil. Department of Electrical Engineering Pontifícia Universidade Católica - RS Av. Ipiranga 6681 90619-900 Porto Alegre RS Brazil. Department of Automation and Systems Universidade Federal de Santa Catarina PO Box 476 88040-900 Florianópolis SC Brazil. 

出 版 物：《IFAC Proceedings Volumes》 

年 卷 期：2004年第37卷第21期

页      面：509-514页

主　　题：Robust H 2 filtering nonlinear systems uncertain systems parametric Lyapunov functions 

摘      要：This paper addresses the design of robust H 2 filters for a class of nonlinear systems subject to uncertain parameters belonging to a given polytope. The nonlinear system is represented by differential-algebraic equations where the system matrices are allowed to be rational functions of the state and uncertain parameters. Linear matrix inequality conditions based on a parameter-dependent Lyapunov function are proposed to design a robust linear filter which ensures an optimized upper-bound on the worst-case asymptotic estimation error variance.