Robust H∞ 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 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. (C) 2008 American Institute of Physics.