Synchronization of chaotically behaving two permanent magnet synchronous motors using adaptive controller

This paper proposes a novel adaptive feedback controller to synchronize two identical chaotic Permanent Magnet Synchronous Motors (PMSM) starting from different initial conditions. The controller consists in determining an adaptation law to tune the controller gain vector in order to track a predetermined linearizing feedback control. Convergence of the closed-loop system responses is proved based on Lyapunov approach. The proposed scheme does not require knowledge of exact model of PMSM. Simulation results demonstrate that the constructed controller can ensure perfect synchronization even under parameters variation and disturbances.