基于向量的鲁棒分数阶比例微分控制器参数求解算法

Robust fractional order proportional differential controller parameters algorithm based on phasor

以分数阶比例微分(FOPD)控制器为例,详细地论述了基于向量的鲁棒FOPD控制器参数求解过程,证明了该方法求解的控制器参数具有唯一性,并编写了基于MATLAB环境下FOPD控制器参数求解算法程序,实现了面向不同相位裕度、不同穿越频率以及不同被控对象的鲁棒FOPD控制器系统校正。结果表明,本文算法不仅简化了控制器参数求解过程,减少了计算量,而且求得的控制器参数唯一且有效。

Using an example of Fractional Order Proportional Differential（FOPD）controller,the parameter calculation procedure of the robust FOPD controller based on phasor method is discussed in detail.It is proved that the calculated controller parameters based on phasor method are unique.Besides,the proposed algorithm is programmed in Matlab.According to Matlab programs,the FOPD controller parameters solution algorithm and the FOPD controller are respectively designed for the systems compensation following the different given phase margin,different given gain crossover frequency and different given controlled objects.This study results show that not only the parameter calculation procedure of fractional order controllers is simplified and the amount of calculation is reduced,but also the calculated controller parameters are unique and valid.