Final Thesis

Optimal control with guaranteed satisfaction of path constraints

Key Info

Basic Information

Process Systems Engineering
Focus/Key Topic:
simulativ / other
starting immediately


Optimal control problems arise in many engineering applications, e.g., time optimal space ights, biomedical systems or operation of bio/chemical reactors. One diffculty is that the continuous formulation leads to a hard to solve infinite dimensional optimization problem. Direct methods transcribe it into a finite-dimensional problem that can be solved with existing methods. However, due to the discretization of controls and path constraints, sub-optimality and discretization errors are introduced. In order to cope with these, separate strategies have been developed for controls and constraints. The goal of this thesis is to combine the control and constraint adaptation methods to obtain feasible and optimal trajectories that are close to the original continuous solution. Required:

  • Programming skills (e.g. C++, Matlab, etc.)
  • Interest in numerical integration and optimization
If you have any questions, please contact me.