基于Hartley调制函数的线性连续系统参数模型辨识

Direct identification of linear continuous time system using Hartley modulating function

借助于Hartley变换及Hartley调制函数微分性质,建立了参数模型直接估计的最小二乘算法.通过数字仿真分别辨识了一个二阶系统和四阶系统,研究了频率指数m和调制函数阶次n对辨识精度的影响.辨识结果表明:该方法简单实用,对噪声具有较强的抑制能力.

Based on the properties of Hartley transformation and Hartley modulating function, the method for direct identification of parameter model of linear continuous dynamic system is proposed, and the least square algorithm for direct identification of parameter model is formulated. Two models with two orders and four orders system are estimated, and the influence of the frequency index m and the modulating function order n to the accuracy of identification is discussed. The result indicates that the method not only is simple and practical but also holds the strong ability of resisting noise for continuous time system.