如何在Simulink中绘制非线性状态空间模型? [英] How to plot non-linear state space models in Simulink?

问题描述

我正在尝试绘制非线性模型，以便将其与线性化模型进行比较.

I am trying to plot a non-linear model in order to compare it with it's linearized counterpart.

我正在关注本文非线性模型&磁悬浮系统的控制器设计，并试图重现作者获得的结果.特别是我正在尝试绘制:

I am following this paper Nonlinear Model & Controller Design for Magnetic Levitation System and trying to reproduce the results the authors obtained. In particular I am trying to plot:

以上等式可用矢量格式表示如下:

The above equations can be represented in vector format as follows:

我没有找到有关如何在MathWorks上绘制非线性状态空间模型表示形式的参考.

I found no references on how to plot non linear state space model representations on MathWorks.

Simulink 状态空间块用于实现线性状态空间系统而不是非线性系统.

The Simulink state-space block is used to implement linear state-space systems and not non linear ones.

因此，如何在Simulink中绘制非线性状态空间模型的响应?任何建议将不胜感激.

So, how can I plot the response of a non-linear state space model in Simulink ? Any suggestions would be appreciated.

推荐答案

您可以使用

You can use a Matlab Function Block to implement the nonlinear equations. You can define the inputs and outputs yourself in this block.

功能块的主体将如下所示:

The body of the function block will look something like this:

function [xdot, y] = nonlinearss(x,u)

    % define your constants
    g = 9.81
    % etc...

    % your nonlinear set of equations
    xdot = [x(2); g-C/m*(x(3)/x(1))^2; etc...] + [0;0;1/L]*u;

    y = x.';

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