一类离散时间非线性系统解耦问题

Local State Feedback Decoupling of Discrete Time Nonlinear Systems

首先利用微分算法求出系统的相对阶，并证明了对于给定的系统，当选用状态反馈时系统具有微分不变性．然后通过在指定区域内的状态反馈，使系统达到输入－输出解耦，并给出了系统可解的充分必要条件，并用例子进一步验证．

The input output decoupling problem for discrete time nonlinear systems is studied.First of all,the relative order of the system is solved in terms of the differential iterated,and the systems possessing the differential invariance are proved under the state feedback.After that,the system is input output decoupled using the state feedback in a given regions,and necessary and sufficient conditions are given at last.This is verified by an example in the end.