H∞ synchronization of chaotic systems using output feedback control design

This article investigates the H∞ synchronization problem for a general class of chaotic systems. Based on Lyapunov theory, linear matrix inequality (LMI) and linear matrix equality (LME) formulation, the output feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H∞-norm constraint. Two illustrative examples are provided to demonstrate the effectiveness of the developed theoretical results.