Dynamical robust H∞ filtering for nonlinear uncertain systems: An LMI approach

被引：37
作者：
Abbaszadeh, Masoud [1 ,2 ]
Marquez, Horacio J. [1 ]
机构：
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
[2] Maplesoft, Dept Res & Dev, Waterloo, ON N2V 1K8, Canada
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 07期
基金：
加拿大自然科学与工程研究理事会;
关键词：
OBSERVER DESIGN; STATE ESTIMATION; TIME-DELAY; STABILIZATION;
D O I：
10.1016/j.jfranklin.2010.05.016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new approach to robust H-infinity filtering for a class of nonlinear systems with time-varying uncertainties is proposed in the LMI framework based on a general dynamical observer structure. The nonlinearities under consideration are assumed to satisfy local Lipschitz conditions and appear in both state and measured output equations. The admissible Lipschitz constants of the nonlinear functions are maximized through LMI optimization. The resulting H-infinity observer guarantees asymptotic stability of the estimation error dynamics with prespecified disturbance attenuation level and is robust against time-varying parametric uncertainties as well as Lipschitz nonlinear additive uncertainty. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1227 / 1241
页数：15
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