Questions tagged [optimal-control]

A tag for questions that relate to numerical approaches to optimal control of systems.

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6
votes
1answer
177 views

zero terminal value of the adjoint based optimal control

I have been pondering about this issue for some time... Say, I want to minimize a costfunctional $$ \tilde J(u) = J(v(u),u) = \frac 12 \int_0^T (v-v_0)^2 + \alpha u^2 dt $$ subject to $$ \dot v = v^2 ...
1
vote
1answer
207 views

proper derivation of a functional for a time dependent parameter estimation problem

Following my previous question and its answer, after some reading of the advised books, I'm still confused about how to get the derivative of the functional to find the best parameter of my reaction ...
5
votes
3answers
180 views

Algorithms for radiation treatment planning

I have a medical physics problem - I want to maximise the dose absorbed by a brain tumour whilst minimising the dose in the rest of the brain, especially certain organs, such as the pituitary gland, ...
1
vote
1answer
960 views

Direct multiple shooting (numerical optimal control)

Please, I am currently implementing direct multiple shooting methods* and I need one simple but fundamental concept answered: When I want to provide not only objective function value (the result of ...