A New Development of Sum of Squares Optimization in Control Application

Author

Chen, Xiangyong ; Li, Chunji ; Li, Ning

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang

Volume

1

fYear

2008

fDate

20-22 Oct. 2008

Firstpage

1200

Lastpage

1204

Abstract

On the basis of introducing sum of squares (SOS) optimization method and its classical control application, this paper introduces the estimation of domain of attraction of autonomous nonlinear systems which can be considered as a new development of sum of squares optimization in control application. At the same time, we study the domain of attraction of a class of SIRS infection model, and get the result of domains of attraction of a SIRS model with the SOSTOOL toolbox. It is bigger than the domain of attraction using the randomly selected Lyapunov function of the LMI approach.

Keywords

nonlinear control systems; optimisation; polynomials; SIRS infection model; SOSTOOL toolbox; autonomous nonlinear system; control application; domain of attraction estimation; sum of squares optimization; Automatic control; Automation; Control systems; Control theory; Mathematical model; Nonlinear control systems; Nonlinear systems; Optimization methods; Polynomials; Software tools;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation (ICICTA), 2008 International Conference on

Conference_Location

Hunan

Print_ISBN

978-0-7695-3357-5

Type

conf

DOI

10.1109/ICICTA.2008.19

Filename

4659683