MATLAB: Integrate an acceleration vector to obtain a velocity vector

integration of an acceleration vectorMATLABobtain a vector by integrating another vector

Hello guys, I have a vector for acceleration with the vector of the time, and I want to have the vectors for the velocity and position after that.

Any idea how to get the vector of the velocity?

I know that the velocity is the integral, but I dont know which function should I use.

I adjunt the file with the data.

Thank you for your help.

Best Answer

Use cumtrapz()

 doc cumtrapz

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MATLAB: How to integrate data points

Use the cumtrapz function.

For example:

a = acceleration_vector_from_file;
t = time_vector_from_file;
v = cumtrapz(t, a);         % Velocity
c = cumtrapz(t, v);         % Displacement

MATLAB: How to integrate acceleration to velocity

Either you get the diagram of an increasing velocity, because the velocity is increasing. Or the sensor for acceleration has a drift, such that it does not reply 0.0 for a constant velocity.

The first case is trivial. The second case cannot be solved without any further knowledge. If all you have is the acceleration data, and not e.g. an independent measurement of the velocity or position at a certain time, your measurement is not accurate. Even trying to apply a "more sophisticated" integrator than cumtrapz will not help. You cannot introduce accuracy magically afterwards.

Best Answer

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MATLAB: How to integrate data points

MATLAB: How to integrate acceleration to velocity

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