Synchronization of Mechanical Systems with a New Van der Pol Chaotic Oscillator

Abstract

By applying the twisting algorithm, synchronization between a DC motor and a new chaotic Van der Pol oscillator is presented. A state of the proposed new chaotic oscillator is synchronized with the shaft position of a DC motor. Applications of tracking control of mechanisms with chaotic signals (the synchronization problem) have been of interest in many areas where some mechanical vibrations are required, like: washer machines, mixing liquids, blender machines, vibration bands for transportation, etc. This, because the performance task is improved by the richness of frequency contents on chaotic signals. Experimental results are shown to support our main results, where a DC Pitman motor is synchronized with an analog circuit implementation of the proposed chaotic oscillator