Nonlinear H/sub ∞/ synchronization of Lur'e systems: dynamic output feedback case

We introduce a new master-slave synchronization scheme for Lur'e systems, which makes use of vector field modulation and dynamic output feedback in order to recover a message signal. The synchronization scheme is represented in standard plant form according to modern control theory. I/O properties of the scheme are analyzed using a dissipativity approach with a quadratic storage function and a supply rate with finite L/sub 2/-gain. The method avoids transmission of the full state vector. The controller design is based on a matrix inequality, corresponding to nonlinear H/sub /spl infin// synchronization. The new scheme is illustrated on Chua's circuit.