Paper Title
Fractional PID control for MEMS Switch Dynamical Model

Abstract
This article argue the challenge of the fractional PID control for a MEMS optical switch. The proposed scheme uses a fractional PID surface to explain dynamic behavior of the system in the PID stage. After a comparison with the classical integer-order counterpart, it is seen that the control system with the proposed PID surface displays better transient performance. The claims are justified through a set of simulations and the results obtained are found promising. Overall, the contribution of this paper is to demonstrate that the response of the system under control is significantly better for the fractional-order differentiation exploited in the PID surface design stage than that for the classical integer-order one, under the same conditions. Index Terms - Fractional order control, PID control, Micro-Electro Mechanical Systems (MEMS), Lyapunov stability.