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Information × Registration Number 0222U002381, 0117U001176 , R & D reports Title Development of methods for the synthesis of control of nonlinear dynamical systems with limited external and parametric perturbations of non-stochastic nature popup.stage_title Head Kuntsevich Vsevolod M, Доктор технічних наук Registration Date 11-02-2022 Organization Space Research Institute of National Academy od Science and State Space Agency of Ukraine popup.description2  Object of research: Mathematical models of complex dynamic control objects in the field of high technology. The purpose of the study: Development of mathematical models of complex discrete and continuous dynamical systems with uncontrolled limited external and structural-parametric disturbances and methods of synthesis of high-precision control. Research methods: Methods of control of dynamic systems under conditions of uncertainty of parametric, structural and external disturbances, methods of linear algebra, optimization, stability theory and theoretical mechanics. Results obtained: Methods for solving control problems of nonlinear dynamical systems that minimize the influence of uncontrolled external structural and parametric disturbances have been developed. The connection of methods of control of dynamic systems on the basis of the guaranteed approach to mathematical modeling of bounded disturbances with classical methods of the stability theory at constant action of bounded disturbances was revealed. The effectiveness of the developed methods is confirmed by the results of computer simulation of the dynamics of the spacecraft attitude control system, which was used to compare the topological properties of reachability sets and the corresponding boundary sets. It was shown that the combined use of reachability sets and boundary sets allows to obtain better estimates of the accuracy of spacecraft attitude control than for each of them separately. Product Description popup.authors Volosov Victor V Kompaniyenko Liliya H Kuntsevich Vsevolod M Maksymyuk Lyubov Volodymyrivna Melnychuk Sergii V. Salnikov Mykola Mykolaiovych Tsaruk Nina P. Shevchenko Volodymyr M. popup.nrat_date 2022-03-09 Close