Is there an Optimization Tool that returns a function?

2018 12 15
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Hey:)
So this is my problem:
I want to maximize the final mass of an ascending rocket into an orbit by controlling the trajectory over a thrust vector control variable a(t). So I need an Optimization Toolbox that returns me the optimal function a(t), but the objective function I want to minimize is m(t). And I couldn't find anything about this anywhere. I tried for example fmincon, but fmincon only returns a scalar.
Do you have any ideas?

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Stephan
Stephan 2018-12-15
编辑：Stephan 2018-12-15

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Hi,
yes, there is functionalDerivative which is useful in this case. See the examples in the documentation. There is a tutorial for this function also, where you can learn how it works.
Best regards
Stephan

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Brendan Görres
Brendan Görres 2018-12-15
So as I understood it,in my particular case as mentioned above, I have write a code that returns me a functin of a(t) and pass this function to fmincon so that it returns me the maximum mass with which my vehicle can reach the given final orbit. Am I right? Or is it impossible to combine to fmincon with functionalDerivative?
Stephan
Stephan 2018-12-15
functionalDerivative will return a symbolic result. Maybe it helps if you work through the Brachistochrone example, to understand what you can expect by using functionalDerivative.
Brendan Görres
Brendan Görres 2018-12-15
I did, but anyways thank you a lot, I got some new ideas and I am going to try them out.
Best Regards
Brendan

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