Change value of variable at each time step - Matlab ODE function









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I have the following system of differential equations to simulate in a .m file:



function dx = odefun(t,x)
% display(x(1));
% y = 5;
dx = [x(2); - y - 3*x(2) - 2*x(1)];
end


I am simulating the system running another .m file with the code below:



[t,x] = ode45(@odefun, [0 10], [0;0]);
% display(x(:,1));
plot(t,x(:,1));


My problem is that I want the value of y parameter, which happens to be the output of my system, to change in each time step while the ode(...) function is executing. I tried by sending another argument like this:



[t,x] = ode45(@odefun, [0 10], [0;0], [some_elements]);
function dx = odefun(t,x,y)


but I get the error: Not enough input arguments. Truth is that I want y parameter to take one value at each time step from a vector with a hundred elements. Any help would be greatly appreciated.










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  • You can not "change value of variable at each time step" as you do not know what time steps the function is called at. If y is indeed an externally provided function given by a function table, make sure to set the maximum time step smaller than the sampling rate of it. In general read about odeset for setting options like parameters of the ODE function.
    – LutzL
    Nov 11 at 8:29














up vote
1
down vote

favorite












I have the following system of differential equations to simulate in a .m file:



function dx = odefun(t,x)
% display(x(1));
% y = 5;
dx = [x(2); - y - 3*x(2) - 2*x(1)];
end


I am simulating the system running another .m file with the code below:



[t,x] = ode45(@odefun, [0 10], [0;0]);
% display(x(:,1));
plot(t,x(:,1));


My problem is that I want the value of y parameter, which happens to be the output of my system, to change in each time step while the ode(...) function is executing. I tried by sending another argument like this:



[t,x] = ode45(@odefun, [0 10], [0;0], [some_elements]);
function dx = odefun(t,x,y)


but I get the error: Not enough input arguments. Truth is that I want y parameter to take one value at each time step from a vector with a hundred elements. Any help would be greatly appreciated.










share|improve this question





















  • You can not "change value of variable at each time step" as you do not know what time steps the function is called at. If y is indeed an externally provided function given by a function table, make sure to set the maximum time step smaller than the sampling rate of it. In general read about odeset for setting options like parameters of the ODE function.
    – LutzL
    Nov 11 at 8:29












up vote
1
down vote

favorite









up vote
1
down vote

favorite











I have the following system of differential equations to simulate in a .m file:



function dx = odefun(t,x)
% display(x(1));
% y = 5;
dx = [x(2); - y - 3*x(2) - 2*x(1)];
end


I am simulating the system running another .m file with the code below:



[t,x] = ode45(@odefun, [0 10], [0;0]);
% display(x(:,1));
plot(t,x(:,1));


My problem is that I want the value of y parameter, which happens to be the output of my system, to change in each time step while the ode(...) function is executing. I tried by sending another argument like this:



[t,x] = ode45(@odefun, [0 10], [0;0], [some_elements]);
function dx = odefun(t,x,y)


but I get the error: Not enough input arguments. Truth is that I want y parameter to take one value at each time step from a vector with a hundred elements. Any help would be greatly appreciated.










share|improve this question













I have the following system of differential equations to simulate in a .m file:



function dx = odefun(t,x)
% display(x(1));
% y = 5;
dx = [x(2); - y - 3*x(2) - 2*x(1)];
end


I am simulating the system running another .m file with the code below:



[t,x] = ode45(@odefun, [0 10], [0;0]);
% display(x(:,1));
plot(t,x(:,1));


My problem is that I want the value of y parameter, which happens to be the output of my system, to change in each time step while the ode(...) function is executing. I tried by sending another argument like this:



[t,x] = ode45(@odefun, [0 10], [0;0], [some_elements]);
function dx = odefun(t,x,y)


but I get the error: Not enough input arguments. Truth is that I want y parameter to take one value at each time step from a vector with a hundred elements. Any help would be greatly appreciated.







matlab ode differential-equations






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asked Nov 10 at 21:57









Teo Protoulis

135




135











  • You can not "change value of variable at each time step" as you do not know what time steps the function is called at. If y is indeed an externally provided function given by a function table, make sure to set the maximum time step smaller than the sampling rate of it. In general read about odeset for setting options like parameters of the ODE function.
    – LutzL
    Nov 11 at 8:29
















  • You can not "change value of variable at each time step" as you do not know what time steps the function is called at. If y is indeed an externally provided function given by a function table, make sure to set the maximum time step smaller than the sampling rate of it. In general read about odeset for setting options like parameters of the ODE function.
    – LutzL
    Nov 11 at 8:29















You can not "change value of variable at each time step" as you do not know what time steps the function is called at. If y is indeed an externally provided function given by a function table, make sure to set the maximum time step smaller than the sampling rate of it. In general read about odeset for setting options like parameters of the ODE function.
– LutzL
Nov 11 at 8:29




You can not "change value of variable at each time step" as you do not know what time steps the function is called at. If y is indeed an externally provided function given by a function table, make sure to set the maximum time step smaller than the sampling rate of it. In general read about odeset for setting options like parameters of the ODE function.
– LutzL
Nov 11 at 8:29












2 Answers
2






active

oldest

votes

















up vote
0
down vote



accepted










Not tested on Matlab but just to help and mainly wrapped up from https://fr.mathworks.com/help/matlab/ref/ode45.html#bu00_4l_sep_shared-options ODE with Time-Dependent Terms



function dx = odefun(t,x,y,yt)
f = interp1(yt,y,t);
dx = [x(2); - f - 3*x(2) - 2*x(1)];
end

%define your array (or even function) y(yt)
yt = 0.0:0.1:10.0;
y = array; % array being your array of input values. (should contain the corresponding value for 0.0:0.1:10.0

[t,x] = ode45(@(t,x) odefun(t,x,y,yt), [0.0 10.0], [0;0]);


or try the following if you want specific time steps included in your result :



[t,x] = ode45(@(t,x) odefun(t,x,y,yt), yt, [0;0]);


You can also do, to be sure to have your solution corresponding to 0.0:0.1:10.0,



x100 = interp1(t,x,yt);





share|improve this answer






















  • If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
    – Teo Protoulis
    Nov 11 at 0:26










  • There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
    – PilouPili
    Nov 11 at 8:31










  • The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
    – Teo Protoulis
    Nov 11 at 12:38










  • then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
    – PilouPili
    Nov 11 at 13:16










  • Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
    – Teo Protoulis
    Nov 11 at 13:38


















up vote
0
down vote













For those interested I post here the way I finally managed to get what I want. I have a 1x100 vector representing the input to a system and I want to take back a 1x100 vector consisting of the values of the output of my system. I wanted one value as output for each value of my input.



global f 
t = 0.1:0.1:10.0;
f = @create_signal;

[t,x] = ode45(@odefun, t, [0;0]);


and the odefun function is like this:



function dx = odefun(t,x)
global f
m = 15;
b = 0.2;
k = 2;
u = f(t);

dx = [x(2); u/m - (b/m)*x(2) - (k/m)*x(1)];

end


and lastly the function that creates the values of the input:



function u = create_signal(t)

u = 5*sin(t) + 10.5;

end


I applied the create function handle feature of MATLAB. Here is the link of mathworks help: https://www.mathworks.com/help/matlab/matlab_prog/creating-a-function-handle.html






share|improve this answer




















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    2 Answers
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    active

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    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    0
    down vote



    accepted










    Not tested on Matlab but just to help and mainly wrapped up from https://fr.mathworks.com/help/matlab/ref/ode45.html#bu00_4l_sep_shared-options ODE with Time-Dependent Terms



    function dx = odefun(t,x,y,yt)
    f = interp1(yt,y,t);
    dx = [x(2); - f - 3*x(2) - 2*x(1)];
    end

    %define your array (or even function) y(yt)
    yt = 0.0:0.1:10.0;
    y = array; % array being your array of input values. (should contain the corresponding value for 0.0:0.1:10.0

    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), [0.0 10.0], [0;0]);


    or try the following if you want specific time steps included in your result :



    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), yt, [0;0]);


    You can also do, to be sure to have your solution corresponding to 0.0:0.1:10.0,



    x100 = interp1(t,x,yt);





    share|improve this answer






















    • If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
      – Teo Protoulis
      Nov 11 at 0:26










    • There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
      – PilouPili
      Nov 11 at 8:31










    • The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
      – Teo Protoulis
      Nov 11 at 12:38










    • then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
      – PilouPili
      Nov 11 at 13:16










    • Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
      – Teo Protoulis
      Nov 11 at 13:38















    up vote
    0
    down vote



    accepted










    Not tested on Matlab but just to help and mainly wrapped up from https://fr.mathworks.com/help/matlab/ref/ode45.html#bu00_4l_sep_shared-options ODE with Time-Dependent Terms



    function dx = odefun(t,x,y,yt)
    f = interp1(yt,y,t);
    dx = [x(2); - f - 3*x(2) - 2*x(1)];
    end

    %define your array (or even function) y(yt)
    yt = 0.0:0.1:10.0;
    y = array; % array being your array of input values. (should contain the corresponding value for 0.0:0.1:10.0

    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), [0.0 10.0], [0;0]);


    or try the following if you want specific time steps included in your result :



    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), yt, [0;0]);


    You can also do, to be sure to have your solution corresponding to 0.0:0.1:10.0,



    x100 = interp1(t,x,yt);





    share|improve this answer






















    • If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
      – Teo Protoulis
      Nov 11 at 0:26










    • There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
      – PilouPili
      Nov 11 at 8:31










    • The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
      – Teo Protoulis
      Nov 11 at 12:38










    • then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
      – PilouPili
      Nov 11 at 13:16










    • Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
      – Teo Protoulis
      Nov 11 at 13:38













    up vote
    0
    down vote



    accepted







    up vote
    0
    down vote



    accepted






    Not tested on Matlab but just to help and mainly wrapped up from https://fr.mathworks.com/help/matlab/ref/ode45.html#bu00_4l_sep_shared-options ODE with Time-Dependent Terms



    function dx = odefun(t,x,y,yt)
    f = interp1(yt,y,t);
    dx = [x(2); - f - 3*x(2) - 2*x(1)];
    end

    %define your array (or even function) y(yt)
    yt = 0.0:0.1:10.0;
    y = array; % array being your array of input values. (should contain the corresponding value for 0.0:0.1:10.0

    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), [0.0 10.0], [0;0]);


    or try the following if you want specific time steps included in your result :



    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), yt, [0;0]);


    You can also do, to be sure to have your solution corresponding to 0.0:0.1:10.0,



    x100 = interp1(t,x,yt);





    share|improve this answer














    Not tested on Matlab but just to help and mainly wrapped up from https://fr.mathworks.com/help/matlab/ref/ode45.html#bu00_4l_sep_shared-options ODE with Time-Dependent Terms



    function dx = odefun(t,x,y,yt)
    f = interp1(yt,y,t);
    dx = [x(2); - f - 3*x(2) - 2*x(1)];
    end

    %define your array (or even function) y(yt)
    yt = 0.0:0.1:10.0;
    y = array; % array being your array of input values. (should contain the corresponding value for 0.0:0.1:10.0

    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), [0.0 10.0], [0;0]);


    or try the following if you want specific time steps included in your result :



    [t,x] = ode45(@(t,x) odefun(t,x,y,yt), yt, [0;0]);


    You can also do, to be sure to have your solution corresponding to 0.0:0.1:10.0,



    x100 = interp1(t,x,yt);






    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Nov 11 at 14:49

























    answered Nov 10 at 23:00









    PilouPili

    1,5891719




    1,5891719











    • If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
      – Teo Protoulis
      Nov 11 at 0:26










    • There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
      – PilouPili
      Nov 11 at 8:31










    • The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
      – Teo Protoulis
      Nov 11 at 12:38










    • then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
      – PilouPili
      Nov 11 at 13:16










    • Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
      – Teo Protoulis
      Nov 11 at 13:38

















    • If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
      – Teo Protoulis
      Nov 11 at 0:26










    • There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
      – PilouPili
      Nov 11 at 8:31










    • The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
      – Teo Protoulis
      Nov 11 at 12:38










    • then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
      – PilouPili
      Nov 11 at 13:16










    • Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
      – Teo Protoulis
      Nov 11 at 13:38
















    If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
    – Teo Protoulis
    Nov 11 at 0:26




    If my y vector is a 1x100 vector, shouldn't the returned value of the ode function, the x vector, also be a 1x100 vector ? Like I have 100 input values and I get 100 output values.
    – Teo Protoulis
    Nov 11 at 0:26












    There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
    – PilouPili
    Nov 11 at 8:31




    There is no reason for y to be the same size (that is why we use interp1). y should only de defined on the temporal slice solved by ode45.
    – PilouPili
    Nov 11 at 8:31












    The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
    – Teo Protoulis
    Nov 11 at 12:38




    The fact is that I have an input of a system with 100 values and I want to take the output of the system using the differential equation for each input. Values of the input are measured each 0.1sec in a range of 0 to 10 seconds.
    – Teo Protoulis
    Nov 11 at 12:38












    then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
    – PilouPili
    Nov 11 at 13:16




    then you specify yt = 0:0.1:10 and y is then value of your input system. Since your already specified tspan=[0 10] everything should then run ok. I have edited the answer
    – PilouPili
    Nov 11 at 13:16












    Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
    – Teo Protoulis
    Nov 11 at 13:38





    Still having a 1x100 vector with input values and getting back a 41x2 matrix with output values instead of my desired 100x2. Your answer works fine but maybe I am not stating things clear. It is like this: enter an input value - take one output and so on for 100 input values - 100 output values.
    – Teo Protoulis
    Nov 11 at 13:38













    up vote
    0
    down vote













    For those interested I post here the way I finally managed to get what I want. I have a 1x100 vector representing the input to a system and I want to take back a 1x100 vector consisting of the values of the output of my system. I wanted one value as output for each value of my input.



    global f 
    t = 0.1:0.1:10.0;
    f = @create_signal;

    [t,x] = ode45(@odefun, t, [0;0]);


    and the odefun function is like this:



    function dx = odefun(t,x)
    global f
    m = 15;
    b = 0.2;
    k = 2;
    u = f(t);

    dx = [x(2); u/m - (b/m)*x(2) - (k/m)*x(1)];

    end


    and lastly the function that creates the values of the input:



    function u = create_signal(t)

    u = 5*sin(t) + 10.5;

    end


    I applied the create function handle feature of MATLAB. Here is the link of mathworks help: https://www.mathworks.com/help/matlab/matlab_prog/creating-a-function-handle.html






    share|improve this answer
























      up vote
      0
      down vote













      For those interested I post here the way I finally managed to get what I want. I have a 1x100 vector representing the input to a system and I want to take back a 1x100 vector consisting of the values of the output of my system. I wanted one value as output for each value of my input.



      global f 
      t = 0.1:0.1:10.0;
      f = @create_signal;

      [t,x] = ode45(@odefun, t, [0;0]);


      and the odefun function is like this:



      function dx = odefun(t,x)
      global f
      m = 15;
      b = 0.2;
      k = 2;
      u = f(t);

      dx = [x(2); u/m - (b/m)*x(2) - (k/m)*x(1)];

      end


      and lastly the function that creates the values of the input:



      function u = create_signal(t)

      u = 5*sin(t) + 10.5;

      end


      I applied the create function handle feature of MATLAB. Here is the link of mathworks help: https://www.mathworks.com/help/matlab/matlab_prog/creating-a-function-handle.html






      share|improve this answer






















        up vote
        0
        down vote










        up vote
        0
        down vote









        For those interested I post here the way I finally managed to get what I want. I have a 1x100 vector representing the input to a system and I want to take back a 1x100 vector consisting of the values of the output of my system. I wanted one value as output for each value of my input.



        global f 
        t = 0.1:0.1:10.0;
        f = @create_signal;

        [t,x] = ode45(@odefun, t, [0;0]);


        and the odefun function is like this:



        function dx = odefun(t,x)
        global f
        m = 15;
        b = 0.2;
        k = 2;
        u = f(t);

        dx = [x(2); u/m - (b/m)*x(2) - (k/m)*x(1)];

        end


        and lastly the function that creates the values of the input:



        function u = create_signal(t)

        u = 5*sin(t) + 10.5;

        end


        I applied the create function handle feature of MATLAB. Here is the link of mathworks help: https://www.mathworks.com/help/matlab/matlab_prog/creating-a-function-handle.html






        share|improve this answer












        For those interested I post here the way I finally managed to get what I want. I have a 1x100 vector representing the input to a system and I want to take back a 1x100 vector consisting of the values of the output of my system. I wanted one value as output for each value of my input.



        global f 
        t = 0.1:0.1:10.0;
        f = @create_signal;

        [t,x] = ode45(@odefun, t, [0;0]);


        and the odefun function is like this:



        function dx = odefun(t,x)
        global f
        m = 15;
        b = 0.2;
        k = 2;
        u = f(t);

        dx = [x(2); u/m - (b/m)*x(2) - (k/m)*x(1)];

        end


        and lastly the function that creates the values of the input:



        function u = create_signal(t)

        u = 5*sin(t) + 10.5;

        end


        I applied the create function handle feature of MATLAB. Here is the link of mathworks help: https://www.mathworks.com/help/matlab/matlab_prog/creating-a-function-handle.html







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Nov 12 at 19:09









        Teo Protoulis

        135




        135



























             

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