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3 Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

3 2001

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Synthesis of optimal thrust and path angle control for aircraft climb and descent

Grevtsov N., Efimow O., Melts I.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

2001

nr 11

99-106

The problem of optimal thrust and path angle control is considered in the paper for given trajectory trajectories in the vertical plane when specific energy or altitude derivative with respect to time is not equal to zero. The minimized functional is assumed to be a fuel consumption. The range and endurance may be arbitrary or given. The path angle is not considered as a small value irrespective of using the energy approach. The problem is solved by means of the maximum principle. As a result the adaptive extreme control laws for aircraft thrust or path angle that provide the minimum fuel consumption have been obtained. These control laws have the form of ordinary differential equations. They may be used in simplification of some optimization problems and for the on-board implementation as regulators. The paper presents the results of calculations made for comparison of effectiveness of the proposed adaptive extreme control laws with the optimal solutions obtained from a sufficiently precise second order method. A difference in the relative fuel consumption is of an order of 0.02 -2 % for different examples.

Flying between obstacles - formulation and solution to the problem

Bunakov A., Grevtsov N., Efimov O., Melts I., Sazonov D., Tegin A.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

2001

nr 11

29-39

The paper presents a short description of two approaches to solving of the fly-around-obstacles problem. This problem consists in finding of a global optimal flying object trajectory or route for a flight over an area with obstacles of natural or artificial type. The trajectory length or fuel consumption is limited. The paper contains two parts corresponding to the combinatory and variational approaches, respectively.

4D navigation - description of a numerical procedure

Tegin A.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

2001

nr 12

109-112

The features of numerical solution to a 4D navigation problem are considered. When solving that problem it is necessary to find the optimal path and control minimising the fuel consumption along a flight path with the given boundary conditions (in particular with the given range and time of flight). The motion of non-manoeuvrable aircraft is considered in a vertical plane. The problem is solved by means of the maximum principle.