In many unmanned aerial vehicle (UAV) applications for surveillance and data collection, it is not possible to reach all requested locations due the given maximum flight time. Hence, must be prioritized problem of selecting most important modeled as an Orienteering Problem (OP). To fully exploit kinematic properties UAV in such scenarios, we combine OP with generation time-optimal trajectories ...

We provide optimal feed trajectories for fedbatch fermentation of microorganisms with substrate inhibition kinetics. demonstrate that the are non-unique and analytical procedures solving control problem. Since, this is essential practical operations as a numerical solution could be any feasible solutions. In addition, we investigate sensitivity bang-bang from point view. This insight relevant m...

Fuel minimum range cruise of aircraft with high aerodynamic ef-ciency is considered as an optimal periodic control problem. Optimality conditions for trajectories with singular arcs and state variable constraints are derived. Computation of periodic optimal trajectories in the case addressed presents strong requirements on the numerical algorithm. Computational diiculties become larger when aer...

We consider an optimal control problem of Mayer type and prove that, under suitable conditions on the system, the value function is differentiable along optimal trajectories, except possibly at the endpoints. We provide counterexamples to show that this property may fail to hold if some of our conditions are violated. We then apply our regularity result to derive optimality conditions for the t...

This paper develops a method for generating smooth trajectories for a moving rigid body with specified boundary conditions. Our method involves two key steps: 1) the generation of optimal trajectories in GA+(n), a subgroup of the affine group in IRn and 2) the projection of the trajectories onto SE(3), the Lie group of rigid body displacements. The overall procedure is invariant with respect to...

Frictionless atom cooling in harmonic traps is formulated as a time-optimal control problem and a synthesis of optimal controlled trajectories is obtained.