Nonlinear H∞ synchronization: case study for a hyperchaotic system

In this paper we apply the method of nonlinear H_∞ synchronization to a hyperchaotic system, which consists of two unidirectionally coupled Chua´s circuits. This method makes use of a vector field modulation at the master system by a filtered binary valued message signal. Static output feedback is applied to the slave system. The original message is recovered from a tracking error, which is defined after representing the synchronization scheme in standard plant form according to modern control theory. The controller is designed based upon a matrix inequality, in order to minimize the L₂-gain from the exogenous input (message signal and channel noise) to the regulated output (tracking error)