Design of optimal fractional-order PID controllers using particle swarm optimization algorithm for DC motor system

Based on the fact that the inductor and the capacitor are fractional in nature, the fractional order model of the DC motor is proposed. Aiming at the problem of fractional-order PID controller parameters tuning, particle swarm optimization (PSO) algorithm is adopted to tune the parameter of the fractional-order PID controller (FOPID). The fractional order differ-integral operator is implemented by using the method of Oustloup. Finally, according to the same criteria, two controllers are designed respectively for the fractional-order model and the traditional integer-order one. From the comparative experiment of the two PID controllers, it is found that in terms of accuracy, the proposed fractional-order model is superior to the traditional integer-order one in describing the DC motor system. The simulation results show that the PSO-FOPID controller has high accuracy and fast convergence, and the designed controller can meet the performance requirements of the default, and the effectiveness of the method is verified.