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plotting - How to properly plot a response of a transfer function in Mathematica?


I'm trying to display the output response of a transfer function in Mathematica with and without a compensator. The problem is very strange: while the transfer function compensate is showing well, the other is not.


The plot seems incomplete and no matter what PlotRange I set, the graph always stays incomplete at the same point.


Here is a screenshot:



enter image description here


Anybody have an idea of what is wrong? I'm pretty sure the math itself is okay, because I get the second transfer function from the first. But when I want to compare the two responses graph, the first always stays incomplete.



Answer



o1 isn't always real - it has a small imaginary component. For example o1 /. t -> 4 gives 0.995493 - 5.18448*10^-7 I. What you could do is Chop the output response:


o1 = Chop @ OutputResponse[tfm, UnitStep[t], t];

This gives you a nice smooth graph.


But on the other hand if you look at the unchopped version o1 /. t-> 8 you get 831840. + 332820. I. Not a small imaginary component at all - so maybe chopping it wasn't a good idea.


You could also try an exact equation by replacing 43.35 with 4335/100. This gives real results, but goes haywire when t > 5.


Unfortunately I know nothing about transfer functions to say which might be right.



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