Open AccessSum-of-square-based impulsive control for chaotic system based on polynomial model
Author(s) -
Yang Jun,
Qiuye Sun,
Dongsheng Yang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.200511
Subject(s) - chaotic , monomial , square (algebra) , polynomial matrix , polynomial , matrix (chemical analysis) , mathematics , control theory (sociology) , linear matrix inequality , computer science , matrix polynomial , square matrix , mathematical optimization , control (management) , discrete mathematics , symmetric matrix , mathematical analysis , physics , artificial intelligence , geometry , eigenvalues and eigenvectors , materials science , quantum mechanics , composite material
In this paper, we present a novel impulsive control method based on polynomial model for a large class of chaotic systems. First, the polynomial model is used to model the chaotic system, in which the state equation of the system is composed of the polynomial matrix of the system and the column vector of monomials in state. Compared with others modeling methods, any pre-defined hypothesis is removed. Next, a sum-of-square (SOS)-based impulsive control method is investigated to guarantee that the chaotic system is asymptotically stable. It can obtain larger impulsive interval using SOS-based optimization algorithm over linear matrix inequality technique, which means the same control performance can be realized by less control action. Finally, the simulation is provided to demonstrate the effectiveness of the proposed method.