Parameterization of Fractional-order Proportional Derivative Controller with Wireless Communication System Application

Abstract

 In recent years, derivatives and integrals with fractional order and the structure of conventional proportional-integral-derivative (PID) controllers have been used to construct fractional-order PID controllers for improving the performance of controlled systems. This study focuses on reducing the overshoot for second-order systems with small damping ratio or underdamped systems by using a fractional-order proportional-derivative controller. The proposed design method is direct given the use of a simple formula for selecting a single parameter. A case study based on control the transmitted power of wireless communication network (WCN) to solve the problem, which caused by the large number of data transmissions in wireless network by using construct fractional-order PID controllers to improving the performance of controlled systems.  This study focuses on reducing consume power by reducing the overshoot for second-order systems with small damping ratio or underdamped systems.