Multiphase Mixed-Integer Optimal Control Approach to Aircraft Trajectory Optimization

Trajectory Optimization using Mixed-Integer Linear Programming

This thesis presents methods for finding optimal trajectories for vehicles subjected to avoidance and assignment requirements. The former include avoidance of collisions with obstacles or other vehicles and avoidance of thruster plumes from spacecraft. Assignment refers to the inclusion of decisions about terminal constraints in the optimization, such as assignment of waypoints to UAVs and the ...

The integer approximation error in mixed-integer optimal control

We extend recent work on nonlinear optimal control problems with integer restrictions on some of the control functions (mixed-integer optimal control problems, MIOCP). We improve a theorem [25] that states that the solution of a relaxed and convexified problem can be approximated with arbitrary precision by a solution fulfilling the integer requirements. Unlike in previous publications the new ...

Mixed-integer non-linear programming approach to structural optimization

The paper presents the Mixed-Integer Non-Linear Programming (MINLP) approach to structural optimization. MINLP is a combined discrete/continuous optimization technique, where discrete binary 0-1 variables are defined for optimization of discrete alternatives and continuous variables for optimization of parameters. The MINLP optimization is performed through three steps: i.e. the generation of a...

Noise-Sensitive Final Approach Trajectory Optimization for Runway-Independent Aircraft

Runway-independent aircraft have been proposed to increase passenger throughput at crowded urban airports via the use of vertiports or stub runways. Simultaneous noninterfering (SNI) traffic procedures will minimize impact on existing fixed-wing traffic. This paper introduces a SNI trajectory generation algorithm that treats existing fixed-wing traffic corridors as impenetrable obstacles and op...

Optimal Singular Control With Applications to .Trajectory Optimization