SYNTHESIS OF LAW OF TERMINAL-OPTIMAL CONTROL OF DYNAMIC OBJECTS THROUGH THE USE OF THE MODEL WITH GENERALIZED CONTROLLING FUNCTION IN THE CONDITIONS OF CONFLICT
Obukhov Pavel Serafimovich, Ivanov Stanislav Valer'evich, Gvindzhiliya Valeriya Enverievna, Sanygin Il'ya Aleksandrovich
Don State Technical University
Abstract. The article discusses the problem of the optimal terminal control of dynamic objects with the undefined controlling function of the opposing object. The special complexity of the solution is the task to control the object in such a way that at the time of its motion into the specified terminal region of space it would be able to make evasive maneuvers from the opposing object. The solution of this task is reduced to a single-point boundary value problem (the task with the fixed right end). The construction of algorithms for solving such tasks with the ability to implement them in real time with the use of modern airborne computers remains an important scientific task for the practice of controlling high-speed dynamic objects.
Key words and phrases: динамический объект, противоборствующий объект, объект-союзник, численное моделирование процесса управления, одноточечная краевая задача, закон терминально-оптимального управления, система дифференциальных уравнений, dynamic object, opposing object, object-ally, numerical modeling of controlling process, single-point boundary value problem, law of terminal-optimal control, system of differential equations
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