Jonas477/mixed-integer-optimal-control---algorithm-tools: v1.0.0 – Initial Release
Jonas Marko, Gerd Wachsmuth · arXiv (Cornell University) · 2024
We investigate a broad class of integer optimal control problems with vector-valued controls and switching regularization using a total variation functional involving the p-norm, which influences the structure of a solution. We derive optimality conditions of first and second order for the integer optimal control problem via a switching-point reformulation. For the numerical solution, we use a trust region method utilizing Bellman's optimality principle for the subproblems. We will show convergence properties of the method and highlight the algorithms efficacy on some benchmark examples.