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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.
The control system can not usually be expressed by a certain analytical expression, so we need to use filters to approximate fractional digital calculus.To this end, we propose a new fractional order system digital realization algorithm - the optimal Oustaloup digital implementation algorithm, The optimal algorithm searches for the optimal parameters of the filter and achieves the high fitting accuracy of the fractional-order system model in the frequency band.The simulation results show that the amplitude-frequency and phase-frequency characteristics of the proposed algorithm are better than Oustaloup and its improve algorithm.