非线性模型匹配问题的研究

Study of Nonlinear Model Matching Problem

研究了非线性系统的模型匹配问题（ＭＯＤＬＥＭＡＴＣＨＩＮＧＰＲＯＢＬＥＭ简称ＭＭＰ）。模型匹配是指，用参考模型的输入输出行为匹配结果，为实际控制系统设计一个补偿原，实质上就是强制的模型跟踪问题。文中所述非线性模型匹配问题的局部解决是通过静态反馈解耦后给出的。其指导思想是在一般条件下，当且仅当线性化控制系统和参考模型在其平衡点附近可解，则非线性模型匹配问题才可解。而且，一般条件是可辨识的。这些条件也可用来解决实际控制系统的动态输入输出解耦问题。

In this paper,the model matching problem (MMP) of nonlinear system is studied. The model matching means that a compensator is designed for an actual control system,according to the results of input and output behaviour of a reference model. Actually,it is a problem of forced model tracing. The partial solution as described in this paper .of nonlinear model matching problem is gotten by static feedback decoupling. The main idea is that under general conditions the nonlinear model matching problem can be solved,when and only when the linear control systems and their reference models have solutions in the domain of their eqilibrium points. Furthermore,the general conditions should be identifiable. These conditions can be used to solve the decoupling problem of dynamic input and output of an actual control system.