基于非线性传递函数的离散非线性控制系统稳定性研究

基于Ｖｏｌｔｅｒｒａ级数的非线性传递函数表示，首先针对一般的离散非线性多项式系统，给出了它的开环稳定性判据。然后，利用此判据，具体地讨论了几类特殊的离散非线性多项式系统，如纯输入，纯输出，纯交叉系统的开环稳定性判据，最后，用实例仿真来验证此判据的有效性。

Stability of Discrete Closed Loop Control System Using Nonlinear Transfer Functions

Nonlinear transfer function of Volterra series is applied to propose a stability criterion of closed loop control system for a class of discrete nonlinear control systems. Furthermore, a stability criterion is also given for a closed loop control system involving only input, only output and onlycross discrete nonlinear control system. An example is provided to illustrate the use of the proposed criterion.