Fuzzy Terminal Sliding Mode Control for Finite-time Synchronization of Electrostatic and Electromechanical Transducers

In this paper, a fuzzy finite-time sliding mode control (SMC) scheme has been investigated for the synchronization problem of electrostatic and electromechanical transducers along with regarding chaotic properties. It is assumed that the considered transducers are disturbed by some imposed perturbations such as model uncertainties and external disturbances. Finite-time integral terminal sliding manifolds are appropriately proposed in order to achieve finite-time convergence in the sliding phase. Then, on the basis of the finite-time Lyapunov stability theorem, a suitable robust finite-time SMC law is designed to force the state trajectories of the system into the sliding manifold. It is proved that both the sliding phase and reaching phase are realized in a given finite time in terms of the fuzzy logic controller. Finally, the simulation results on the synchronization of chaotic electrostatic and electromechanical transducers have been demonstrated the efficiency and validity of the proposed method.