In this paper, fast global fixed-time terminal sliding mode control for the synchronization problem of a generalized class of nonlinear perturbed chaotic systems has been investigated with the application of memristor-based oscillator in the presence of external disturbances and unmodeled dynamics. In the fixed-time control strategy, unlike conventional asymptotic or finite-time approaches, convergence time is not related to the initial conditions. In the designed global fixed-time controller, both the sliding phase and reaching phase have fixed-time convergence characteristics and consequently, via the proposed strategy, precise synchronization of the master-slave systems is accomplished within fixed convergence time. The fast fixed-time synchronization problem of the nonlinear memristor chaotic system (MCS) has been investigated. In the first stage, an in-circuit emulator (ICE) for the considered memristor is utilized in order to apply on the defined MCSs. In the next stage, according to the considered ICE, the dynamical structure of the MCS is formulated along with the fixed-time synchronization problem which is efficiently addressed via the designed controller in the presence of external disturbances and unmodeled dynamics. Finally, the strength and validity of the theoretical outcomes are confirmed through numerical simulations.

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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.