Robust H infinity synchronization of chaotic Lur'e systems

Chaos
He Huang, Gang Feng

Abstract

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.

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