《自动控制原理》课程中闭环脉冲传递函数算法研究

针对一般方法推导离散系统闭环脉冲传递函数过程繁琐费时的问题,给出一种先连续化求出闭环传递函数再离散化求解的简便方法,并给出使用本方法的单一化条件。对于满足该条件的系统,可直接求用简便方法求取系统的闭环脉冲传递函数,不满足该使用条件的系统,对其中间变量的求取可使用本方法,因而大大简化求解闭环脉冲传递函数的过程,为采样控制系统的分析和设计提供了很大的方便。

Research on Solving Closed-loop Pulse Transfer Function in "Automatic Control Principle" Course

For the trouble in solving closed-loop impulse transfer function of discrete system,the paper gives a simplified method which gives the discrete results of the Transfer Function calculating by regarding the system as a continuous one.It gives a single condition of using the method.The impulse transfer function of closed loop is calculated in using the method directly if the condition is satisfied.A Intermediate discrete variable can be calculated by using this method if the condition is not satisfied,thus it greatly simplified solving process of impulse transfer function of closed loop.It provide a great convenience in analysis and design of discrete control system.