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EN
The Society of Automotive Engineers (SAE), which is an international organisation that associates engineers and constructors of the vehicles such as cars, ships, trains and planes. It organises all over the world a series of competitions for student teams of young engineers. One of these competitions is called the Aero Design East and is held in Florida. The competition task is very similar to the task for a crew/ess patrol planes. The Aero Design challenges students to conceive, design, fabricate and test an aircraft, based on the prescribed engine and the maximum planform area limited to 77,50 dm2. The aircraft planform area is defined as the vertically downward projected area of the whole aircraft plus the overlapping surfaces. The competition tests each team's ability of predicting the performance of their original design. It has to be proven that there is a connection between the theory and practice. That's why the competition prepares students for their future job as engineers. It also shows how important and difficult, as well, is the work in a team. It teaches how to co-operate in order to achieve the common goal.
EN
The paper deals with the problem of optimal thrust control for a given trajectory when flying through dangerous zones with obstacles. The obstacles are represented by the probability function that determines the level of safety of the mission or the probability of aircraft failure. The flight at a constant altitude is considered, along the rectilinear trajectories that correspond to the evolvent of curvilinear trajectories of small curvatures. The problem under consideration is the determination of optimal thrust that ensures the minimum of failure probability for the flight at a given distance with a limit imposed on fuel consumption. A solution to this problem is based on the maximum principle approach. The main difficulty of this problem consists in the existence of singular solutions. The accepted approach enables calculation of singular thrust control and appropriate trajectories in the phase space (velocity and range).
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