How do I input a tranfer function in simulink with just a numerator?
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Andy Bartlett on 4 Nov 2021
Edited: Andy Bartlett on 8 Nov 2021
The Laplace operator s represents a derivative and its inverse (1/s) represents an integrator.
In concept, you could model 3*s as a derivative block and a gain block in series. However, noise due to numeric roundoffs and such would likely give very poor behavior in practice. For this reason, realizations of continuous-time systems are usually based on integrators and not on differentiators. See slide 14 here as an example of an integrator based realization.
If you look at the problem you are trying to solve from a higher level, I suspect you will find that you don't need to model 3*s directly and you can use an integrator based realization.
You could also play a practical "trick" of creating a filtered derivative by adding a sufficiently fast pole, i.e. model