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线性控制系统的一个数学模型问题
A MATHEMATICAL MODEL FOR THE LINEAR CONTROL SYSTEM
【摘要】 本文提出对于线性控制系统的带有输入函数导数项的闭环非齐次微分方程的改造问题。其结果是可以用一个带有特定的初始条件的没有输入函数导数项的非齐微分方程代替之。这样的改造是在输入函数是阶跃函数;脉冲函数的条件下才是可能的。所提出的模型对于求微分方程数值解和分析综合控制系统都带来方便条件。
【Abstract】 This paper attempts to find out a way in which a closed-loop non-hom-ogeneous differential equation with input derivatives on its right hand for the linear control system can be changed into a new form.As a result,the terms input derivatives would be disappeared and a set of particular boundasry conditions,such as initial state values,would be set up.This work can only be performed under such conditions,as the input of the control system is step function or impulse function.The model presented in this paper will give out some profit in finding the numeral solutions and analyzing the control system.
- 【文献出处】 鞍山钢铁学院学报 , 编辑部邮箱 ,1982年04期
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