L_2 Gain Disturbance Attenuation for Nonlinear Singularly Perturbed Systems

Author

Meng, Bo ; Tian, Huixin

Author_Institution

Sch. of Elactrical Eng. & Autom., Tianjin Polytech. Univ., Tianjin, China

Volume

1

fYear

2010

fDate

13-14 Oct. 2010

Firstpage

907

Lastpage

910

Abstract

The problem of L₂ gain disturbance attenuation is considered for a class of nonlinear singularly perturbed system. Based on Lyapunov argument and backstepping design technique, a state feedback controller is constructed for the slow-subsystem which renders a full closed-loop system internally stable with bounded L₂ gain from exogenous input to output. No Hamilton-Jacobi equation is needed for the controller design. A simulation example shows the feasibility and effectiveness of the conclusion.

Keywords

Lyapunov methods; closed loop systems; nonlinear control systems; optimal control; singularly perturbed systems; state feedback; Hamilton-Jacobi equation; L₂ gain disturbance attenuation; Lyapunov argument; backstepping design technique; closed loop system; nonlinear singularly perturbed system; state feedback controller; Artificial neural networks; Decision support systems; Intelligent systems; Neodymium; Backstepping; Bounded L2 gain; Fast-slow Subsystem; Robust Control; Singularly Perturbed;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent System Design and Engineering Application (ISDEA), 2010 International Conference on

Conference_Location

Changsha

Print_ISBN

978-1-4244-8333-4

Type

conf

DOI

10.1109/ISDEA.2010.445

Filename

5743323