I intend to use analytic derivatives for solving a low thrust trajectory optimization problem via indirect optimal control. Finite difference derivatives are not accurate enough to achieve convergence. In literature, it is mentioned that state transition matrix can be used with chain rule to obtain required analytic partial derivatives. But implementation details are missing.
I am looking for some examples, where it is in action. Any relevant pointers are highly appreciable.
Hi,
Article A shooting method for solving two-point boundary-value probl...
https://www.ruhr-uni-bochum.de/num1/files/lectures/NMS.pdf
https://www.youtube.com/watch?v=qIfxydBEdzg
https://www.youtube.com/watch?v=8y0IcYqPIgA
https://search.r-project.org/CRAN/refmans/bvpSolve/html/bvpshoot.html
https://ntrs.nasa.gov/api/citations/20170005459/downloads/20170005459.pdf
https://edisciplinas.usp.br/pluginfile.php/41896/mod_resource/content/1/LeVeque%20Finite%20Diff.pdf
Best regards
One of the earliest applications of this technique is the Blasius equation for viscous boundary layer, which you can find in most any fluids textbook. There are many other similar problems that can be solved in this same way. In fluids we consider flow over and around all sorts of shapes. There are also heat and mass transfer examples. Every time the geometry changes, a new solution is required so there are endless applications
implementation details are missing anyway, for analytical derivatives, use of flow thrust trajectory optimization problem via indirect optimal control is applicable Finite difference derivatives are not accurate enough to achieve convergence in some perspectives, this can be done through transition matrix using instance of chain rule to derive required analytic partial derivatives.
- Badges
- Science topic
- Similar topics
- Mathematics