ДЕЦЕНТРАЛИЗОВАННОЕ УПРАВЛЕНИЕ В ЛИНЕЙНО-КВАДРАТИЧНОЙ ЗАДАЧЕ ПРИ НАЛИЧИИ ЗАПАЗДЫВАНИЯ В ИНФОРМАЦИОННОМ КАНАЛЕ

This article deals with a linear-quadratic optimal control problem for a group of dynamically coupled systems. It is assumed that each system has its own local controller, and a delay is present in the communication network. A distributed feedback control, which is linear in current and delayed states, is constructed and a sub-optimality estimate for the distributed control is obtained.Исследуется задача минимизации квадратичного функционала на траекториях группы линейных взаимосвязанных систем. Рассматривается случай, когда каждая система имеет свой локальный регулятор, и в несовершенном канале связи между ними присутствует запаздывание. Построена децентрализованная обратная связь, линейная по текущему состоянию и запаздывающей информации. Получены оценки субоптимальности децентрализованных управлений в рассматриваемой задаче

Some Aspects of Real-time Control of Linear Stationary Dynamic Systems

The paper deals with the optimal positional control actions for linear discrete dynamic stationary objects. Methods of the real-time constructing of the implementations of optimal feedbacks are described based on reduction of the sequence of optimal programs to linear programming problems (LP).To solve the problem the duel method of LP with a long steps is used to correct supports, the parallelizing and acceleration of computations with the recurrent equation and methods of "set of weight" are applied. A real-time observation problem at uncertainty in initial states is considered to the linear dynamic object with discrete measurement devices which is reduced to the series of LP problems. Both of the problems are solved by the dual method of LP. To accelerate the computations of control actions it is suggested to use the parallelizing procedure