Fractional PID controller based on biggest log modulus tuning method with MOPSO optimization for distillation column

Abstract

The main contribution of this work is to design a fractional order proportional integral derivative (FO-PID) controller by combining the biggest log modulus tuning (BLT) method and multi-objective particle swarm optimization (PSO) algorithm for the control of the challenging multivariable systems. The parameters of the integer proportional integral (PI) controller are designed preliminary using BLT method. The derivation parameter, the fractional integrator and the fractional derivation parameters is formulated as an optimization problem with many objective functions as minimizing the integral square error (ISE), integral time absolute error (ITAE) and objective function which contain the ISE, overshoot and settling time using PSO algorithm. An example of wood and berry distillation column is treated in this paper. A comparison between integer BLT, integer PSO, big bang-big crunch (BB-BC) algorithm, TLBO method and the proposed fractional BLT-PSO method is carried out. The simulation results using MATLAB/Simulink show the efficiency and merits of the proposed method for such systems.