Parameter Tuning Analysis Of Fractional Order PID Controller

Fractional PID controller parameter tuning method is a hot topic in the field of control research,many experts in this field have analyzed and studied this problem and obtained some phased results.Compared with the traditional PID controller,fractional PID controller adds two parameters,thus,not only the control effect of the controller is optimized,but also the adjustment of controller parameters is more flexible.Based on the existing research results,fractional PID controller parameter setting is studied in the following aspects.Firstly,the quantum evolutionary algorithm is discussed and analyzed,and is used to adjust the parameters of fractional PID controller.Bloch spherical theory was combined with quantum evolutionary algorithm in the calculation process,and the simulation results are compared with the improved particle swarm optimization and genetic algorithm.Secondly,in the existing fractional PID controller parameter stability domain research,the optimal parameter calculation method of parameter setting is analyzed and discussed.For the closed-loop control system,the real root boundary,complex root boundary and non-infinite root boundary are discussed first,using the time multiplication absolute error integral(ITAE)as the performance evaluation index and taking the phase Angle margin and amplitude margin as constraints.In the end,the optimal parameter values are obtained by using the quantum evolution algorithm.Simulation analysis shows that the fractional PID controller parameter tuning results obtained by this method have good dynamic control effect.Finally,the sensitivity condition of fractional PID controller is studied in this paper.Taking sensitivity as the constraint condition,the parameter setting of the fractional-order system with delay and the fractional-order control system with delay is solved and analyzed.The stability domain is determined according to the stability of the parameter value,which simplifies the calculation process.ITAE was also used as its performance evaluation index,and the above steps were analyzed and proved by simulation.