Estimations of bounds and synchronization controlling for Hadley chaotic system

Author

Zhao, Zhihua ; Jian, Jigui ; Wang, Weiwei

Author_Institution

Coll. of Sci., China Three Gorges Univ., Yichang, China

fYear

2012

fDate

23-25 March 2012

Firstpage

150

Lastpage

152

Abstract

This paper is concerned with positive invariant set and synchronization controlling for Hadley chaotic system. A detailed spheroid estimation of the globally exponentially attractive set is derived for the Hadley chaotic system. In addition, linear feedback control with two inputs is proposed to realize the globally exponential synchronization of two Hadley chaotic systems based on matrix theory. New sufficient algebraic criteria for the globally exponential synchronization of two Hadley chaotic systems are obtained analytically. The controllers here designed have simple structure and less conservation. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Keywords

chaos; control system synthesis; feedback; matrix algebra; nonlinear control systems; set theory; synchronisation; Hadley chaotic system; algebraic criteria; bound estimation; chaos synchronization scheme; global exponential attractive set; global exponential synchronization; linear feedback control; matrix theory; numerical simulations; positive invariant set; spheroid estimation; synchronization controlling estimation; Chaos; Conferences; Educational institutions; Estimation; Feedback control; Numerical simulation; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Science and Technology (ICIST), 2012 International Conference on

Conference_Location

Hubei

Print_ISBN

978-1-4577-0343-0

Type

conf

DOI

10.1109/ICIST.2012.6221626

Filename

6221626