Robust H∞ synchronization of chaotic pendulum-like systems

This paper considers the robust H_∞ synchronization for a class of chaotic pendulum-like dynamical systems in virtue of feedback control strategy, where the master system is assumed to be subject to an energy bounded input noise. Sufficient conditions are proposed for the existence of controllers, such that the master system robustly synchronizes the slave one with a guaranteed H_∞ performance. The developed conditions are extended to systems subject to polytopic uncertainties. Effectiveness and applicability of obtained results are demonstrated through a concrete example of phase-locked loops (PLL).