Synchronization of multiple mechanical oscillators under noisy measurements signals and mismatch parameters

In this article, we present a control scheme to synchronize multiple mechanical oscillators under the master-slave configuration. The proposed scheme is applied in the synchronization of several mechanical oscillators with high nonlinear spring, where four mechanical oscillators are controlled in order to be in state of synchronization with the master mechanical oscillator against additive noise in the measurement signals and mismatch parameters. The proposed control consists of an external feedback controller with a class of hyperbolic tangent function, which gives us the possibility to overcome problems as noise in the measured output and parameter's mismatch which is important due to the kind of control. The effectiveness of this control scheme is showed via numerical simulations with and without sustained disturbances.