基于Simulink的延迟微分方程框图求解

The Simulink-Based Box Diagram Solution to Delay Differential Equations

摘要: 微分方程是描述动态系统的最常用工具之一；延迟微分方程除包含有信号当前时刻的值外，还含有信号以前的值；若延迟微分方程只是复杂系统中的一部分，其输入信号来自于前一个模块，则无法用MATLAB编写匿名函数来直接求解；基于框图的仿真策略是解决这类问题的最好方法；Simulink是MATLAB下基于框图仿真方法的理想工具；用Simulink搭建延迟微分方程模型，并求出方程的数值解。

Abstract: Being one of the most commonly-used tools in describing the dynamic system, the delay differential equation contains not only the current value of the signal but also the previous one. However, it cannot be directly solved by writing anonymous functions with Matlab if the delay differential equation is only one part of the complex system, and its input signal comes from the previous module; therefore, the simulation strategy on the basis of the box diagram is the best way to solve such problems. Based on the box diagram, Matlab Simulink is the ideal tool, which helps build the delay differential equation model. By this way, we can solve the numerical solution of this equation.