分数阶控制器实现方法研究

研究了分数阶控制器的模拟和数字实现方法,其中数字实现是重点。数字实现是通过构造一个新的IIR型数字滤波器来对函数的分数阶微积分计算进行近似求解,然后对该滤波器进行连分式展开来完成的。以PID控制为例进行的数值仿真结果表明,用此方法设计的离散分数阶PID控制器比传统离散整数阶PID控制器具有更优的控制性能,同时也验证了该数字实现方法的正确性与可行性。

Research of Fractional-Order Controller Realization

The realization of fractional-order controller including analogy and digital methods is researched.Regarding the digital realization which is the main part in this paper,a new IIR type digital filter is established and then the filter is expanded by taking advantage of continuous fractional expansion to compute the fractional-order calculus.According to the simulation results of fractional-order PID control,the discrete fractional-order PID controller designed by the digital realization method has better performance compared with the classical integer-order PID controller,and the correctness and the effectiveness of the method proposed are verified.