Abstract
This paper deals with the problem of nonlinear H ∞ synchronization for Lur'e systems using time-delay feedback control. Making use of a vector field modulation in the master system by a filtered binary valued message signal, applying a static output feedback control with time-delay to the slave system, and taking into account L 2 -norm bounded noise in the channel, the master-slave synchronization is formulated as to minimize the L 2 -gain from the exogenous input to a tracking error. Then a delay-dependent synchronization criterion is derived to analyze the error system. Sufficient conditions for the H ∞ synchronization and a feedback control with time-delay are obtained in terms of linear matrix inequality. Finally, the original message is recovered from the tracking error. Chua's circuit is given to illustrate the effectiveness of the proposed method.
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