Decomposition of PD-regulators design problem for systems with slow and fast modes

The PD-regulators design problem for the singularly perturbed control system is considered in the paper. It is shown that this problem can be reduced to the P-regulators design problems for two subsystems of lower dimension.The authors are supported by the Russian Foundation for Basic Research and Samara Region (project 16-41-630524-p) and the Ministry of Education and Science of the Russian Federation under the Competitiveness Enhancement Program of Samara University (2013-2020)

Reduction of the optimal control problem for a magnetoelectric power drive

Рассматривается линейно-квадратичная задача оптимального управления для сингулярно возмущенной дифференциальной системы, описывающей динамику магнитоэлектрического силового привода. Оптимальное управление ищется в виде обратной связи. Использование метода многообразий позволяет понизить порядок матричного дифференциального уравнения Риккати. linear-quadratic optimal control problem is considered for a singularly perturbed differential system, which describes the dynamics of a magnetoelectric actuator. Optimal control law is constructed as a feedback. Using the method of integral manifolds allows us to reduce the order of the matrix differential Riccati equation.Исследование выполнено при финансовой поддержке Министерства высшего образования и науки Российской Федерации в рамках программы повышения конкурентоспособности Самарского университета (2013–2020)

The optimal control problem for magnetoelectric actuator

Рассматривается линейно-квадратичная задача оптимального управления для сингулярно возмущенной дифференциальной системы, описывающей динамику магнитоэлек- трического привода. Построено преобразование координат, осуществляющее расщепление краевой задачи принципа максимума на краевую задачу для медленных переменных и две начальные задачи для быстрых переменных. The linear-quadratic optimal control problem for a singularly perturbed differential system describing the dynamics of a magnetoelectric actuator is considered. A coordinate transformation that performs the decomposition of the boundary value problem of the maximum principle to the boundary value problem for slow variables and two initial problems for fast variables is constructed.Исследование выполнено при финансовой поддержке РФФИ и Правительства Самарской области в рамках научного проекта N 16-41-630524 и Министерства образования и науки Российской Федерации в рамках программы повышения конкурентоспособности Самарского университета (2013–2020)

Rules on parish schools (June 13, 1884): Prerequisites and preparation of the bill [Правила о церковно-приходских школах (13 июня 1884 г.): предпосылки и подготовка законопроекта]

The work analyzes the prerequisites and preparation of the bill “Rules on parish schools” dated June 13, 1884. The main source in this work is the “Rules on parish schools”, which were approved on June 13, 1884 by Emperor Alexander III. The actions of these rules extended on the territory of the Russian Empire, except for the Riga diocese and the Grand Duchy of Finland. The great importance in the work is given to the “Draft statute on parish schools and an explanatory note to it”. The principle of historicism was used in the work, thanks to it all events were considered in a historical sequence. This made it possible to look at the picture of the events taking place as an integral phenomenon, taking into account the specific historical situation. The problem-chronological method is of great importance in the work, which allowed us, while analyzing the complex process of preparation and legislative implementation of the “Rules on parish schools”, to abstract from neighboring events and consider the studied process in its chronological sequence. In conclusion, the authors state that the “Rules on parish schools” published in 1884 became an important milestone in the formation of an extensive network of primary educational institutions of the Russian Empire. With 1884, there was given the substantial resources and government support to the parish education of the Russian Empire, which made it possible, from almost home education of peasant children, to proceed to the implementation of a planned educational process with the consolidation of the status of a parish school on a par with schools of the Ministry of Public Education. Copyright © 2020 by International Network Center for Fundamental and Applied Research