分数阶PI鲁棒预测控制解析整定法

Analytical Tuning Method for Fractional Order PI Robust Model Predictive Control

基于分数阶预测控制中微分算子难以求解的特点,提出一种分数阶PI控制器参数求解方法,并将其应用于预测控制。该文联立分数阶PI控制器与预测控制形成的传递函数建立解析方程。该方法将被控系统所需的性能指标与分数阶PI控制器相乘得到期望传递函数,利用该期望传递函数求解预测控制传递函数所需要的各项参数。增强了预测控制鲁棒性的提升,降低了调整参数的计算时间。

Based on the difficulty in solving the differential operator in fractional order predictive control,a parameter solving method for fractional order PI controller is proposed and applied to predictive control.In this paper,analytical equations are established by combining fractional order PI controller and predictive control with transfer functions.This method multiplies the required performance index of the controlled system with a fractional-order PI controller to obtain the expected transfer function,and uses the expected transfer function to solve the parameters required for the predictive control transfer function,thus enhancing the robustness of predictive control and reduces the calculation time for adjusting parameters.