Optimal tuning of fractional order Pλ D µA controller using Particle Swarm Optimization algorithm

Abstract

In this paper an optimal design method for the tuning of the fractional order proportional-integral-derivative-acceleration (PI λ DµA) controller parameters is presented. The fractional order PIλ DµA controller is a conventional proportional-integral-derivative-acceleration (PIDA) controller whose integration action order λ and differentiation action order μ are real rather than integer. The two more parameters λ and μ will provide a better flexibility in controller design for a wide range of dynamical systems. The six parameters of the fractional order PI λ DµA controller are tuned through the optimization of the Integral Time Absolute Error (ITAE) performance criteria using the Particle Swarm Optimization (PSO) algorithm. The fractional order PIλ DµA controller design for two real world system models of a feedback control system have been proposed to illustrate its benefits and effectiveness. The simulation results show that the proposed fractional PIλ DµA controller exhibits dynamical performances improvements compared to the conventional PIDA controller of the feedback control system.