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Information × Registration Number 0217U004209, 0112U001674 , R & D reports Title Development of the mathematical model adaptation and control synthesis methods for complicated dynamic systems popup.stage_title Head Kuntsevich Vsevolod Mykhailovich, Registration Date 23-01-2017 Organization Space Research Institute of National Academy of Sciences of Ukraine and State Space Agency of Ukraine popup.description2 Investigation object - Mathematical models of complicated dynamic control objects and their groups in high-technology fields. Investigation goal - development of adaptation methods for mathematical models of complicated discrete and continuous dynamic systems and methods for synthesis of their robust control. Investigation methods - control methods for dynamic systems under uncertainty of parametrical, structural and external disturbances, methods of linear algebra, optimization, stability theory and theoretical mechanics. Obtained results: Methods for estimation of sets of attainability for dynamic systems subject to limited structural and external disturbances are developed and applied to estimation of sets of attainability of spacecraft attitude control systems. These methods were used to build for the first time ellipsoidal approximations of trajectory tubes for spacecraft attitude control systems. Robust methods of ellipsoidal and interval estimation of the state vector for sets of linear and nonlinear discrete dynamic systems based on the results of their current output measurements with limited disturbances are developed. Methods for solving control problems for motion of a group of dynamic systems (mobile robots) under uncertainty and phase restrictions are developed and a hierarchical system for group motion control is proposed. The effectiveness of the proposed methods is confirmed by the results of computer modelling of dynamics of spacecraft attitude control system, which was used for comparison of topological properties of sets of attainability and the corresponding limit sets. It is shown that using sets of attainability together with limit sets allows one to obtain better estimates of the precision of spacecraft attitude control than each of them taken separately. Product Description popup.authors Волосов Віктор Вікторович Компанієнко Лілія Григорівна Кунцевич Всеволод Михайлович Максимюк Любов Володимирівна Мельничук Сергій Вікторович Сімаков Володимир Олександрович Сальніков Микола Миколайович Царук Ніна Петрівна Шевченко Володимир Миколайович popup.nrat_date 2020-04-02 Close