Fractional-order PID dynamic matrix control algorithm based on time domain

Based on the fractional-order PID control algorithm and dynamic matrix control (DMC) algorithm, the fractional-order PID dynamic matrix control (FOPID-DMC) algorithm is given. This algorithm has the advantage of the fractional-order PID control, which is reliable in operation, and the prediction function. The influence of FOPID-DMC controller parameters tuning on system performance is investigated in time domain. The parameter selection range is researched. Simulation results show that FOPID-DMC algorithm has better performance than conventional DMC algorithm, which makes the system have satisfactory stability and transition characteristics. Compared to the PIDDMC algorithm, FOPID-DMC algorithm has some advantages.