Synthesis of the Launch Trajectory of an Unmanned Space Vehicle Based on Sufficient Conditions of Optimal Control

In the theory of automatic control of complex dynamic objects, the necessary conditions for optimality of control are widely used on the basis of the method of L. S. Pontryagin, necessary and sufficient conditions for optimality of control based on the method of R. Bellman and sufficient conditions for optimality of control based on the method of V. F. Krotova. To date, control objects are becoming more complex and the development of optimal control methods themselves continues. Of particular interest for complex objects is the development of control synthesis methods based on sufficient optimality conditions. A modification of V. F. Krotova-M. M. Khrustaleva method, which consists in a conditional change in the characteristics of the object under study. This technique makes it possible, with minor changes, to apply the already known technique for synthesizing the suboptimal launch trajectory, obtaining better estimates of the final mass in comparison with the known method.