Enlarging region of attraction via LMI-based approach and Genetic Algorithm

Author

Hamidi, F. ; Jerbi, H. ; Aggoune, W. ; Djemai, M. ; Abdkrim, M.N.

Author_Institution

UR-MACS (Unite de Rech. Modelisation, Anal. et Commande des Syst.), Univ. of Gabes, Gabes, Tunisia

fYear

2011

fDate

3-5 March 2011

Firstpage

1

Lastpage

6

Abstract

In this paper, we consider the problem of the enlargement of the region of attraction of polynomial nonlinear systems. We use an optimization strategy based on Linear Matrix Inequality (LMI), to compute the region of attraction (RA). The main contribution consist in a preliminary estimation of the general form of this region obtained by the trajectory reversed Method. Moreover, an explicit determination of the RA by using a parameterized Lyapunov function is proposed. The parameters are computed by combining Genetic Algorithm and LMI. An example is given to illustrate the efficiency of the proposed approach.

Keywords

Lyapunov methods; genetic algorithms; linear matrix inequalities; LMI; genetic algorithm; linear matrix inequality; optimization strategy; parameterized Lyapunov function; polynomial nonlinear system; trajectory reversed method; Asymptotic stability; Estimation; Genetic algorithms; Lyapunov methods; Optimization; Polynomials; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Computing and Control Applications (CCCA), 2011 International Conference on

Conference_Location

Hammamet

Print_ISBN

978-1-4244-9795-9

Type

conf

DOI

10.1109/CCCA.2011.6031233

Filename

6031233