A nonlinear control approach for a class of nonlinear systems based on SOS techniques

Author

Yanru, Zhou ; Jianping, Zeng

Author_Institution

Sch. of Inf. Sci. & Technol., Xiamen Univ., Xiamen, China

fYear

2012

fDate

25-27 July 2012

Firstpage

335

Lastpage

338

Abstract

Based on sum of squares theory, this paper is concerned with the nonlinear control for a special class of nonlinear systems. The nonlinear state feedback controller with a reduced-order observer is designed via the polynomial-type Lyapunov function and sum of squares optimization toolbox, so that the controlled system has good stability and dynamic characteristics, meanwhile it can suppress various types of external disturbances well. The simulation results verify the effectiveness and feasibility of the design method.

Keywords

Lyapunov methods; nonlinear control systems; observers; optimisation; reduced order systems; stability; state feedback; SOS techniques; nonlinear state feedback controller; nonlinear systems; polynomial-type Lyapunov function; reduced-order observer; stability; sum of squares optimization; Closed loop systems; Linear matrix inequalities; Nonlinear systems; Observers; Polynomials; State feedback; Symmetric matrices; Lyapunov function; nonlinear control; nonlinear state feedback; reduced-order observer; sum of squares (SOS);

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6389951