MATLAB How to give a step input in Matlab?

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The discussion focuses on implementing a step input for a state space equation in MATLAB using ODE45. The user needs to create a function that defines the acceleration (theta double dot) as a positive step for 0.136 milliseconds, a negative step for the next 0.136 milliseconds, and zero at all other times. It is suggested to use conditional statements based on the time variable to calculate theta double dot within the user-defined function. The user is seeking assistance with the correct implementation to achieve the expected graph output. Clarification on the code and results is also requested to ensure accuracy in the simulation.
Ben9622111222
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Hello,

I have a state space equation at hand.. This attached with this...
upload_2015-9-25_7-50-55.png

Now the term (theta double dot) is a positive step for 0,136 milli seconds and negative step for next 0,136 millisecond and 0 at all other times.
So that when I simulate I will get a graph as below:
upload_2015-9-25_7-53-54.png

This is the nature of the graph I am expecting.

Iam using Matlab ODE45 to solve this. It is pretty easy I think, but I can't figure out how to give this acceleration function.

I hope the question is clear. The values are

Omega = 219,
Zeta = 0,03
Gamma(i) divided by M(i)=0,01
theta double dot = -63 and +63 in the above said intervals respectively.
 

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  • upload_2015-9-25_7-59-11.png
    upload_2015-9-25_7-59-11.png
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Posting code would be more helpful than that picture :smile:

The value of the independent variable (t in your case) is passed to the user-defined function calculating the derivatives. You can easily calculate the value of ##\ddot{\theta}## in that function using if's based on the value of t.
 
The code I used and the results are attached here. Obviously its wrong. The expected nature of the curve is like the one shown in the first post( the oscilloscope display). Please help if anyone knows.
matlab code.JPG
command line.JPG
matlab graph.JPG
 

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