SOLVING THE TASK OF PARAMETRIC SYNTHESIS OF THE LAW OF OPTIMAL TERMINATION CONTROL OVER THE DYNAMIC OBJECT MOVEMENT UNDER THE CONDITIONS OF INDETERMINACY
Ivanov Stanislav Valer'evich, Babenko Tat'yana Sergeevna, Bessmertnyi Andrei Aleksandrovich, Reva Anton Andreevich
Don State Technical University
Abstract. The article analyzes the task of optimal termination control over the stochastic dynamic system with uncertain steering function. The paper proposes an approach, which includes control synthesis on the basis of the integrated control model and organizing the system movement according to the formed optimal trajectory. Instead of solving the two-point boundary value Cauchy problem the authors use a one-way control approach on the guaranteed result principle, which allows developing optimal termination control in the function of the current position of an object.
Key words and phrases: оптимальное управление, стохастическая динамическая система, терминальные условия, двухточечная краевая задача, принцип максимума Понтрягина, optimal control, stochastic dynamic system, terminal conditions, two-point boundary value problem, Pontryagin’s maximum principle
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