利用功率谱分解与系统辨识法对离散系统模型进行降阶处理

本文介绍一种离散系统模型降阶的混合方法.从能量影响的观点到系统的输出,系统中 处于主导地位的特征值会在系统输出产生优势的动态模态,从而确定降阶模型传函中分母的 参数估值,再用辨识技术求出分子参数.降阶模型与原系统相比,暂态响应与稳态响应中均有 很好的逼近.

Model Reduction of Discrete Systems by Power Decomposition and System Identification

A mixed method of discrete system model reduction is proposed. From the viewpoint of energy contribution in system output, the dynamic modes with dominant energy contribution will be influenced by those with dominant eigenvalues. Having determined the denominator of the reduced model, the parameters of the numerator can be found by identification technique. The reduced model gives good approximation in both the transient and the steady state responses of the original system.