对称非线性系统的反馈解耦

Feedback Decoupling for Nonlinear Systems with Symmetries

本文用微分几何方法讨论具有对称性的非线性系统的反馈解耦问题,给出了问题可解的充要条件。从条件可以看出,我们的结果较不具对称性的情况简单,从而说明,具有对称性的系统不仅具有较好的系统结构,而且还具有其它一些较好的性质。

In this paper,we discussed feedback decoupling problem for nonlinear systems possessing symmetries by differential geometric approach.Necessary and sufficient conditions for the solvability of the problem are given.We can see from these conditions that our results are simpler than those of systems without symmetries.The main results obtained in our paper indicate that systems with symmetries always have good properties as well as good structure.