Design of a nonlinear adaptive observer for a class of Lipschitz systems

Author

Yang Yingjuan ; Xuan Pengzhang

Author_Institution

Sch. of Math. & Phys., Anhui Polytech. Univ., Wuhu, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2240

Lastpage

2243

Abstract

This paper considers the nonlinear adaptive observer design problem of a class of Lipschitz systems. The parameter and state estimation in the presence of the observer gain perturbations for Lipschitz systems that are linear in the unknown parameters and nonlinear in state are addressed. Using Lyapunov functions and functionals, conditions have been found that guarantee the asymptotic stability of the estimation error. The gain for the observer can be conveniently derived by means of Linear Matrix Inequality.

Keywords

Lyapunov methods; adaptive systems; asymptotic stability; control system synthesis; error statistics; linear matrix inequalities; nonlinear control systems; observers; perturbation techniques; Lipschitz system; Lyapunov function; asymptotic stability; estimation error; functionals; linear matrix inequality; nonlinear adaptive observer design; observer gain perturbation; parameter estimation; state estimation; Adaptive systems; Asymptotic stability; Nonlinear dynamical systems; Observers; Robustness; Lipschitz systems; Nonlinear adaptive observer; Nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896980

Filename

6896980