Design of FOPID Controller Based on Particle Swarm Optimization

Abstract

This paper deals with the designing of Fractional Order Proportional Integral Derivative (FOPID)
controller, also known as PIλD
δ Controller using Intelligent optimization method based on Particle Swarm
Optimization (PSO). The FOPID controller is similar to conventional PID controller. But the only difference is
that in FOPID Controller, the integral order ( λ) and the derivative order (δ) are fractional. The FOPID and
conventional PID controllers are mainly employed in the industrial applications to control the various parameters
such as speed, pressure, flow, temperature etc. In order to design FOPID Controller, it is needed to optimize five
parameters namely proportionality constant (Kp), integral constant(Ki), derivative constant(Kd), integral order ( λ)
and derivative order (δ) whereas in case of conventional PID controller, it just needed three parameters to optimize.
Therefore, it is little bit complex to design FOPID controller but it is more challenging to design it compared to a
classical PID controller. The FOPID controller also focuses on reducing the integral of squared error(ISE) and
integral time square error(ITSE).