How do I simulate a differential equation that has a squared derivative term in Simulink?

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Yuanli Lu
Yuanli Lu 2020-10-24
回答： Ameer Hamza 2020-10-24
I have system on hand x'' + 5(x')^2 + 5x = u
I used the below diagram to simulate, is this correct?
I do get a sigularity if I simulate it with the sine wave.

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Ameer Hamza
Ameer Hamza 2020-10-24
The block diagram seems correct. You can also use this block: https://www.mathworks.com/help/simulink/slref/mathfunction.html to directly square the signal. The result is expected. You can run the following code and see the output is diverging,
dydt = @(t, y) [y(2); -5*y(2)^2 - 5*y(1) + sin(t)];
tsapn = [0 10];
IC = [0; 0];
ode45(dydt, tsapn, IC)

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