分数阶系统的最优Oustaloup数字实现算法

控制系统通常无法用确定的解析表达式表达,所以需要利用滤波器来近似数字实现分数阶微积分.为此,提出一种新的分数阶系统数字实现算法--最优Oustaloup数字实现算法,通过最优算法寻找滤波器最优参数,在频率段内实现分数阶系统模型的高拟合精度.实例仿真结果表明,该算法在频率响应中的幅频特性及相频特性均优于Oustaloup及其改进算法.

Optimal Oustaloup digital realization of fractional order systems

The control systems can not be represented by certain
analytical expression typically, so they need to use filters to approximate
realization. A digital realization algorithm of fractional
order system, the optimal Oustaloup digital realization algorithm is proposed. Optimal algorithm is used to find the optimal parameters of filter and achieve high
fitting accuracy of fractional order systems in the frequency bands. The
simulation results show that the algorithm is superior to Oustaloup and
improved algorithm in the amplitude frequency characteristic and phase
frequency characteristics of frequency response.