Impulsive Synchronization of Chaotic Lur'e Systems by Linear Static Measurement Feedback: An LMI Approach

In this brief, we consider impulsive control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems. Impulsive control laws are investigated which make use of linear static measurement feedback, instead of full state feedback. A less conservative sufficient con...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. 2, Analog and digital signal processing Analog and digital signal processing, 2007-08, Vol.54 (8), p.710-714
Main Authors: Jun Guo Lu, Hill, D.J.
Format: Article
Language:English
Subjects:
Asymptotic properties
Chaos
Chaos theory
Circuits
Control systems
Control theory
impulsive control
Linear feedback control systems
Linear matrix inequalities
linear matrix inequalities (LMIs)
Lur'e system
Master-slave
Output feedback
State feedback
Sufficient conditions
Synchronism
Synchronization
Vectors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this brief, we consider impulsive control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems. Impulsive control laws are investigated which make use of linear static measurement feedback, instead of full state feedback. A less conservative sufficient condition than existing results for global asymptotic impulsive synchronization is presented, in which synchronization is proven for the error between the full state vectors. And then an linear matrix inequality (LMI)-based approach for designing linear static output feedback impulsive control laws to globally asymptotically synchronize Lur'e chaotic systems is derived. With the help of the LMI solvers, we can easily obtain the linear output feedback impulsive controller and the bound of the impulsive interval for global asymptotic synchronization. The method is illustrated on Chua's circuit.
ISSN:1549-7747
1057-7130
1558-3791
DOI:10.1109/TCSII.2007.898468