Multi-switching Synchronization of Different Orders: A Generalization of Increased/Reduced Order Synchronization

Abstract

In this computational study, the author presents the multi-switching synchronization for different orders of drive and response systems using the adaptive sliding mode controllers. Furthermore, the author shows that increased/reduced order synchronization is a special case of multi-switching synchronization of different orders. For different switches, the Circular Restricted Three Body Problem and Lorenz chaotic systems are taken as a drive and response systems, respectively. Furthermore, in the computational study, the effects of both unknown model uncertainties and external disturbances are also considered.