非整数阶动态系统的频域辨识方法

提出了2种非整数阶系统辨识方法——广义Levy法和加权迭代法.首先,将辨识整数阶系统的Levy法进行推广得到了适合非整数阶系统辨识的广义Levy法;然后,针对广义Levy法的不足,提出了一种加权迭代法.结果表明:对于非整数阶系统,采用所提出的方法能够得到更好的频域响应拟合;对于整数阶系统,采用该方法,运用阶数扫描仍然能找到拟合其频域响应的最好的整数阶模型;与整数阶系统辨识算法相比,所提出的的系统辨识算法更稳定.

Frequency domain identification of non-integer order dynamical systems

Two new methods,the generalized Levy method and the weighted iteration method,are presented for identification of non-integer order systems.The first method generalizes the Levy identification method from the integer order systems to the non-integer order systems.Then,the weighted iteration method is presented to overcome the shortcomings of the first method.Results show that the proposed methods have better performance compared with the integer order identification method.For the non-integer order systems, the proposed methods have the better fitting for the system frequency response.For the integer order system,if commensurate order scanning is applied, the proposed methods can also achieve the best integer order model which fits the system frequency response.At the same time,the proposed algorithms are more stable.