Optimal flight trajectory synthesis for an anti-collision maneouvre performed within environment of moving obstacles

Abstract

For solving the airplane-to-obstacle collision avoidance problem, two methods are necessary, that is, one for detecting a collision threat and the other one for synthesizing a safe manoeuvre avoiding threating obstacles. In the article, a method for detecting a threat of collision to obstacle was presented for the case of many obstacles moving within the neighbourhood of the airplane. Methods for optimal anti-collision trajectory synthesis and for proving the workability of such a result were proposed too. A solution of an optimisation problem, obtained by the swarm of particles optimization (PSO) was used for trajectory synthesis. A form of quality index was proposed for this task and the analyses of its behaviour for several values of weighting factors were presented. Results of simulations of flight along an optimal, anti-collision manoeuvre trajectory proved that such a manoeuvre is workable.