基于框图的分数阶非线性系统仿真方法及应用

针对在实际情况中应用越来越广泛的分数阶微积分系统,提出了分数阶微积分方程的框图求解法。通过Simulink搭建仿真框图,可以直接求出分数阶非线性微积分方程的数值解析解。该方法最大的优点是能够解决由一般的分数阶微积分知识所不能或是很难求解的复杂分数阶微积分问题,对于分数阶的线性微积分方程也完全适用。用仿真实例进一步演示了该方法的简洁、有效,可以解决任意的分数阶微积分方程的求解问题。

Simulation Model Method and Application of Fractional Order Nonlinear System

Recently, the application of factional calculus and fractional order system has become more and more. Simulink model method of fractional order nonlinear system was proposed. Through building Simulink model, the numerical solution of fractional order nonlinear calculus equation can be obtained directly. The best advantage of the method is that it can solve the complex fractional order calculus equation which can hardly be answered by the general calculus knowledge. The method is completely fit for the fractional order linear calculus equation. The effect of the method was demonstrated by some examples. The Simulink model method is used for solution of the any linear and nonlinear systems.