Passivity Based Design of Synchronizing Systems

Abstract

A particular problem of controlled synchronization of nonlinear systems is considered. Minimum conditions for producing such synchronization are presented and it is shown that these conditions also provide the feedback passivity of the overall system. It is also demonstrated that the conditions of feedback passivity allow one to design an adaptive synchronizing control law which ensures global synchronization in the cases when the systems to be synchronized have different parameters. Additionally it is demonstrated that the approach presented for the design of synchronizing systems allows one to cope with external disturbances in order to protect the systems from loss of synchrony.