Tuning of the Fractional-order PID Controller for some Real-life Industrial Processes Using Particle Swarm Optimization

In this paper, several feedback control methods are proposed for some real-life industrial processes. All these methods are designed to obtain an optimal tuning for the Fractional-order PID controller using two optimization techniques; Particle Swarm Optimization (PSO) and Bacteria Foraging Optimization (BFO). Such methods have been inferred by including several approaches for the fractional-order integro-differential Laplacian operators within the PSO and BFO algorithms. These approaches are: The Continued Fractional Expansion (CFE) approach, Oustaloup’s approach, the 1st - and the 2nd-order El-Khazali’s approaches. Different forms of integer-order rational transfer functions for such operators have been deduced corresponding to these approaches, which allow one to develop realizable models for some industrial applications. Numerous numerical simulations of the dynamic responses are explored and discussed for the purpose of illustrating the influence and the efficiency of all designed methods.