HYBRID OPTIMAL CONTROL OF MOTORIZED TRAVELING SALESMEN AND BEYOND
Markus Glocker, Oskar von Stryk
Simulation and Systems Optimization Group, Technische Universit ät Darmstadt, Alexanderstr. 10, 64283 Darmstadt, Germany Email: {glocker,stryk}@sim.tu-darmstadt.de http://www.sim.informatik.tu-darmstadt.de

Numerical methods for optimal control of hybrid dynamical systems are considered where the discrete dynamics and the nonlinear continuous dynamics are tightly coupled. A decomposition approach for numerically solving general mixed-integer continuous optimal control problems (MIOCPs) is discussed. In the outer optimization loop a branch-and-bound binary tree search is used for the discrete variables. The multiple-phase optimal control problems for the continuous state and control variables in the inner optimization loop are solved by a sparse direct collocation transcription method. A genetic algorithm is applied to improve the performance of the branch-and-bound approach by providing a good initial upper bound on the MIOCP performance index. Results are presented for motorized traveling salesmen problems, new benchmark problems in hybrid optimal control.
Keywords: nonlinear hybrid dynamical systems, mixed-integer optimal control, branch-and-bound, direct collocation transcription, sparse sequential quadratic programming, motorized traveling salesmen, genetic algorithm
Session slot T-Th-A06: Behaviour and optimal control of hybrid systems/Area code 5c : Computer Aided Control Systems Design

|