Theoretical and numerical methods for state-constrained optimal control problems.
- Properties of the value function. Theoretical study for optimal trajectories
- Numerical methods for solving Hamilton-Jacobi equations
- Reachability sets / safety problems
The whole of the study is motivated by industrial applications: atmospheric re-entry of a space shuttle, under constraints of heat flux and load factor;
Climbing of multi-stage launcher.
The numerical methods developed and studied will be tested on real models provided by the CNES (French Space Agency).
Required skills: Good background on optimal control problems and/or on Hamilton-Jacobi equations.