Constrained optimal control theory for differential linear repetitive processes

Differential repetitive processes are a distinct class of continuous-discrete two-dimensional linear systems of both systems theoretic and applications interest. These processes complete a series of sweeps termed passes through a set of dynamics defined over a finite duration known as the pass length, and once the end is reached the process is reset to its starting position before the next pass begins. Moreover the output or pass profile produced on each pass explicitly contributes to the dynamics of the next one. Applications areas include iterative learning control and iterative solution algorithms, for classes of dynamic nonlinear optimal control problems based on the maximum principle, and the modeling of numerous industrial processes such as metal rolling, long-wall cutting, etc. In this paper we develop substantial new results on optimal control of these processes in the presence of constraints where the cost function and constraints are motivated by practical application of iterative learning control to robotic manipulators and other electromechanical systems. The analysis is based on generalizing the well-known maximum and $\epsilon$-maximum principles to the

Optimal control of non-stationary differential linear repetitive processes

Differential repetitive processes are a distinct class of continuousdiscrete 2D linear systems of both systems theoretic and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information propagation in one of the two independent directions only occurs over a finite interval. Applications areas include iterative learning control and iterative solution algorithms for classes of dynamic nonlinear optimal control problems based on the maximum principle, and the modelling of numerous industrial processes such as metal rolling, and long-wall cutting etc. The new results in is paper solve a general optimal problem in the presence of non-stationary dynamics

Boundary control in distributed transportation networks

секция: Дифференциальные уравнения и их приложени

Моделирование характеристик ондуляторного излучения для параметров ускорителя LUCX@KEK

Differential linear repetitive processes are a class of continuous-discrete 2D systems of both systems theoretic and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information propagation in one of the two independent directions only occurs over a finite interval. In this paper we develop an operator theory approach for the study of basic systems theoretic structural and control properties of these processes. In particular, we first develop a characterization of the range space of an operator generated by dynamics of the processes under consideration and use it to characterize a controllability property. Also we extend this operator setting to produce new results for a (again physically relevant) linear-quadratic optimization problem for these processes and the resulting optimal feedback control law.E

РЕШЕНИЕ ТРАНСПОРТНОЙ ЗАДАЧИ ДЛЯ МНОГООБЪЕКТНОЙ СИСТЕМЫ БЕСПИЛОТНЫХ АППАРАТОВ

The solution of transportation problem for unmanned multiobject systems is described. The factor for calculating of the cost matrix taking into account the specifics of multi-object systems of unmanned vehicles is chosen.Приведено решение транспортной задачи для многообъектной системы методом потенциалов. Выбран фактор для расчета матрицы стоимости с учетом специфики многообъектных систем беспилотных аппаратов

ЗАДАЧИ УПРАВЛЕНИЯ МНОГООБЪЕКТНЫМИ СИСТЕМАМИ БЕСПИЛОТНЫХ ЛЕТАТЕЛЬНЫХ АППАРАТОВ И ПУТИ ИХ РЕШЕНИЯ

Some problems arising in the construction of control systems for groups of unmanned aerial vehicles were analysed. Possible solutions are considered.Проведен обзор некоторых задач, возникающих при построении систем управления группами беспилотных летательных аппаратов (БПЛА). Рассмотрены возможные пути решения

МАТЕМАТИЧЕСКИЕ МОДЕЛИ И АЛГОРИТМЫ УПРАВЛЕНИЯ МНОГООБЪЕКТНЫМИ СИСТЕМАМИ

The linear position control algorithms for multi-agent systems are described. The algorithms use a minimum of prior information and spread of these algorithms to the multidimensional case. The methods take into account the external impacts.Описаны линейные алгоритмы управления положением для многообъектной системы. Алгоритмы используют минимум априорной информации и распространены на многомерные случаи. Исследуются методы, учитывающие внешние воздействия

Об управляемости, наблюдаемости и оптимизации дискретных нестационарных линейных систем Вольтерра

   Исследуются дискретные нестационарные линейные системы уравнений типа Вольтерра, существенной особенностью которых является зависимость каждого последующего состояния от всей предыстории процесса. Получено представление решений таких систем в форме Коши с учетом управляющих воздействий. Установлены необходимые и достаточные условия точечной управляемости, точечной управляемости по выходу и наблюдаемости, а также исследована линейно-квадратичная задача оптимизации рассматриваемых систем уравнений Вольтерра.   In this article, we study discrete nonstationary linear dynamic systems of Volterra type. An essential feature of such kind of systems is that their current states depend on the previous states of this system. The formula Cauchy, which gives us the solution of linear Volterra systems with the control inputs, is obtained. The necessary and sufficient conditions of the pointwise controllability, pointwise output controllability, and observability are proven. Also the linear-quadratic optimization problem for the nonstationary Volterra control systems is studied.   Исследуются дискретные нестационарные линейные системы уравнений типа Вольтерра, существенной особенностью которых является зависимость каждого последующего состояния от всей предыстории процесса. Получено представление решений таких систем в форме Коши с учетом управляющих воздействий. Установлены необходимые и достаточные условия точечной управляемости, точечной управляемости по выходу и наблюдаемости, а также исследована линейно-квадратичная задача оптимизации рассматриваемых систем уравнений Вольтерра

Optimization problem for linear discrete 2-D systems with boundary control

This work is supported in the part by the Grant No. 20162023 in the frame of the State Program of Scientific Research (2016-2020)of Republic of Belarus

Optimization problem for linear discrete 2-D systems with boundary control

This work is supported in the part by the Grant No. 20162023 in the frame of the State Program of Scientific Research (2016-2020)of Republic of Belarus