基于有理切比雪夫算法,提出了一种新的分数阶微积分算子的直接离散化方法,以达到在直接离散时间域上更精确的逼近效果.仿真结果表明,在传递函数阶次相同的情况下,这种逼近方法显示了更好的逼近特性,在低频段比连分式展开更加精确,而在高频段二者逼近效果非常近似.
A new direct discretization of the fractional order differentiator/integrator is proposed based on Rational Chebyshev Approximation(RCA) to achieve accurate direct discrete-time approximations.Simulation results show that for a given order of the transfer functions,RCA is much more accurate at low frequencies than that obtained by Continued Fraction Expansion.At high frequencies,these approximation are quite similar.