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Исследование Задачи Оптимального Управления Для Одиночного И Двойного Интеграторов Дробного Порядка С Помощью Метода Моментов

Author

Listed:
  • Постнов Сергей Сергеевич

    (Институт проблем управления им. В.А. Трапезникова РАН)

Abstract

Дана постановка задачи оптимального управления для двух динамических систем дробного порядка: одиночного и двойного интеграторов. Задача сведена к проблеме моментов. Выведены основные уравнения и формулы, позволяющие получать решение задачи. Исследованы зависимости нормы управления и минимального времени перехода в конечное состояние от показателей дифференцирования. Проведен сравнительный анализ результатов для исследуемых систем.The paper proposes the statement of optimal control problem for two dynamical systems of fractional order: single and double integrators. The problem is reduced to problem of moments. Basic equations and formula obtained which allow to derive the problem solution. Dependencies of control norm and minimal transition time from order of fractional derivative are investigated. Comparative analysis of results for both of considered systems is carried out.

Suggested Citation

  • Постнов Сергей Сергеевич, 2012. "Исследование Задачи Оптимального Управления Для Одиночного И Двойного Интеграторов Дробного Порядка С Помощью Метода Моментов," Проблемы управления, CyberLeninka;Общество с ограниченной ответственностью "СенСиДат-Контрол", issue 5, pages 9-17.
    • Handle: RePEc:scn:009530:14049408
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