Robust Anticipating Synchronization Analysis of RCL-shunted Josephson Junctions

RCL-shunted Josephson junctions (RCLSJ) are important electronic circuits that possess the superconductivity effect, from which researchers built extremely sensitive devices. In this study, the robust anticipating synchronization of chaotic RCLSJ models with parameter uncertainties is investigated. Sufficient conditions are established in virtue of the pendulum-like system theory, under which the existence of anticipating synchronizing slave systems is guaranteed. By resorting to the available numerical software, the desired feedback controller design can be achieved through a group of linear matrix inequalities. These results are demonstrated through numerical simulations that under the derived conditions, the slave RCLSJ model could respond in exactly the same way as the master would do in the future, and meanwhile, remain robust to external disturbances.