Continuous fixed-time convergent synchronization of perturbed non-identical chaotic transducers

Abstract

In this paper, a continuous terminal sliding mode control (SMC) design is used to address the problem of synchronizing two chaotic electrostatic and electromechanical transducers. Recently, fixed-time convergence has received increased attention among scholars. The convergence time with this type of controller has an upper bound independent of the initial conditions. In this regard, two fixed-time sliding manifolds are proposed. Then a robust SMC control is proposed to steer the error-states onto the sliding manifolds despite the external disturbances and model imperfections. Due to its dynamical structure, the suggested controller is chatter-free, an important condition in many practical applications. A proof of convergence is presented for the proposed controller. Finally, a comparison of the proposed method with existing methods demonstrates its superiority.