EECI Course 2015-2016
Applied optimal control: Geometry & Algorithms
B. Bonnard & J.-B. Caillau
UBFC & CNRS / INRIA
Abstract of the course
Optimal control is key to addressing problems, e.g. in classical or quantum mechanics. In this course, we review the basics of optimal control with an emphasis on the geometrical viewpoint. On the algorithmic side, cutting edge methods will be presented during hands-on courses on real-world applications.
Outline
Theoretical background.
1. Lie algebraic methods for controllability
2. First and second order optimality conditions in control
3. Averaging in optimal control
Hands on.
4. Spacecraft trajectory optimization (hampath)
5. Energy management (l1-magic)
6. Medical imaging by NMR (BOCOP, GloptiPoly)
