A Research on Active Control to Synchronize a New 3D Chaotic System

A Research on Active Control to Synchronize a New 3D Chaotic System

This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for...

Full description

Bibliographic Details
Main Authors: Israr Ahmad, Azizan Bin Saaban, Adyda Binti Ibrahim, Mohammad Shahzad
Format: Article
Language:English
Published: MDPI AG 2015-12-01
Series:Systems
Subjects:
chaos synchronization
active control
Routh-Hurwitz criterion
Gershgorin theorem
Online Access:http://www.mdpi.com/2079-8954/4/1/2
Description
Summary:This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for the robust stability of the synchronization error dynamics in the presence of an unknown bounded smooth external disturbance. The proposed active control strategy with a suitable computation of the linear controller gain matrix is simple in design and establishes fast convergence rates of the synchronization error signals. Numerical simulation results further verified the analytical results.
ISSN:2079-8954

Similar Items