Robust H infinity synchronization of chaotic Lur'e systems

This paper is concerned with the robust H(infinity) synchronization problem for a class of chaotic Lur'e systems based on delayed feedback control. The master system is assumed to be subject to an energy bounded input noise. By employing an integral inequality, a delay-dependent condition is ob...

Full description

Saved in:
Bibliographic Details
Published inChaos (Woodbury, N.Y.) Vol. 18; no. 3; p. 033113
Main Authors Huang, He, Feng, Gang
Format Journal Article
LanguageEnglish
Published United States 01.09.2008
Subjects
Algorithms
Computer Simulation
Feedback
Models, Theoretical
Nonlinear Dynamics
Oscillometry - methods
Online AccessGet more information

Cover

More Information
Summary:This paper is concerned with the robust H(infinity) synchronization problem for a class of chaotic Lur'e systems based on delayed feedback control. The master system is assumed to be subject to an energy bounded input noise. By employing an integral inequality, a delay-dependent condition is obtained under which the chaotic master and slave systems are robustly synchronized with a guaranteed H(infinity) performance. The design of a desired delayed feedback controller can be achieved by solving a linear matrix inequality, and the H(infinity) performance index can be optimized via a convex optimization algorithm. Chua's circuit is used as an example to demonstrate the effectiveness of the developed approach and the improvement over some existing results.
ISSN:1089-7682
DOI:10.1063/1.2959852