RK4 with controller

3 次查看（过去 30 天）

etienne 2018-9-5

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/417668-rk4-with-controller

编辑： etienne 2018-10-11

Hi,

I'm trying to solve a system of equations from a function ('f') using a 4th order Runge-Kutta method, taking into account a PD controller.

Here is how my code looks like:

 t_f = 100; % simulation end time
 h = 0.1;   % sample time
 K = 1;     % controller gain
 Td = 10;   % controller derivative time
 x = [...]; % initial conditions
 N = round(t_f/h); % number of samples
 xout = zeros(N+1,length(x)+2); % memory allocation
 for i=1:N+1
     time = (i-1)*h; % simulation time
     a = x(1);
     if (a<10)
        a_ref = 1; % desired 'a' value
        c = K*((a-a_ref)+Td); % controller
 [x v] = RK4('f',x,[c 0],h,i);
 xout(i,:) = [time,x',v]

I'm not sure how to write the RK4 function to solve the equations from 'f', making sure the controller is used.

The latest version of the code can be found in the first comment.

Any ideas would be very much appreciated.

Many thanks.

1 个评论
显示 -1更早的评论隐藏 -1更早的评论

etienne 2018-9-17

编辑：etienne 2018-10-3

Hi. After several unsuccessful attempts, here is the latest version of the code.

The main loop is in Tacking.m and the Runge-Kutta function is in RK4.m. I know the code has been used (as is) in the past, but it's the RK4 function that I'm struggling to write properly. If someone has an idea to put me back on the rails, thanks !

请先登录，再进行评论。

请先登录，再回答此问题。