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Synchronization of Multiple Mechanical Oscillators Under Noisy Measurements Signals and Mismatch Parameters

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: signals mismatch; control; mechanical oscillators; multiple mechanical; mismatch parameters; synchronization multiple

Journal Title: International Journal of Nonlinear Sciences and Numerical Simulation
Year Published: 2018

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