Title :
Robust state estimation of fractional-order complex networks with parametric uncertainties
Author :
Chen Aimin ; Wang Xingwang ; Wang Junwei ; Liu Zhiguang ; Zhang Fengpan
Author_Institution :
Inst. of Appl. Math., Henan Univ., Kaifeng, China
Abstract :
This paper deals with the robust state estimation problem of a class of uncertain fractional-order complex networks with norm-bounded parameter uncertainties. Through available scalar output signals, our aim is to design a state estimator to estimate the network states such that the estimation error is globally robustly asymptotically stable for all admissible parameter uncertainties. Based on the stability theory of fractional-order differential systems, a sufficient condition for the existence of the desired estimator gain is derived, and then the explicit expression of such estimator gain is characterized in terms of the solution to linear matrix inequalities. Finally, simulation examples are provided to show the effectiveness of the designed estimator.
Keywords :
asymptotic stability; large-scale systems; linear matrix inequalities; robust control; state estimation; uncertain systems; explicit expression; fractional-order differential systems; global robust asymptotic stability; linear matrix inequalities; norm-bounded parameter uncertainties; robust state estimation problem; scalar output signals; uncertain fractional-order complex networks; Complex networks; Educational institutions; Estimation error; Robustness; State estimation; Symmetric matrices; Uncertain systems; Complex Networks; Fractional-order Derivative; Parametric Uncertainty; Scalar Signals; State Estimation;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
