Full Description
Christian Kirches develops a fast numerical algorithm of wide applicability that efficiently solves mixed-integer nonlinear optimal control problems. He uses convexification and relaxation techniques to obtain computationally tractable reformulations for which feasibility and optimality certificates can be given even after discretization and rounding.
Contents
The Direct Multiple Shooting Method for Optimal Control - Mixed-Integer Optimal Control - Constrained Nonlinear Programming - Mixed-Integer Real-Time Iterations - Outer Convexification of Constraints - A Nonconvex Parametric SQP Method - Linear Algebra for Block Structured QPs - Updates for the Block Structured Factorization



