226 research outputs found
Control of functional differential equations with function space boundary conditions
Problems involving functional differential equations with terminal conditions in function space are considered. Their application to mechanical and electrical systems is discussed. Investigations of controllability, existence of optimal controls, and necessary and sufficient conditions for optimality are reported
УПРАВЛЕНИЕ ДИНАМИЧЕСКИМ ОБЪЕКТОМ В РЕАЛЬНОМ ВРЕМЕНИ В УСЛОВИЯХ ПОСТОЯННО ДЕЙСТВУЮЩИХ ВОЗМУЩЕНИЙ
In the class of discrete control actions a linear control problem of a dynamic object under conditions of constantly acting disturbances is considered. A method is suggested to construct guaranteeing disclosable and closable loops in the real-time mode. В классе дискретных управляющих воздействий рассматривается линейная задача управления динамическим объектом в условиях постоянно действующих возмущений. Излагается метод построения в реальном времени текущих значений гарантирующих размыкаемых и замыкаемых связей.
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
On Necessary and Sufficient Conditions for Near-Optimal Singular Stochastic Controls
This paper is concerned with necessary and sufficient conditions for
near-optimal singular stochastic controls for systems driven by a nonlinear
stochastic differential equations (SDEs in short). The proof of our result is
based on Ekeland's variational principle and some delicate estimates of the
state and adjoint processes. This result is a generalization of Zhou's
stochastic maximum principle for near-optimality to singular control problem.Comment: 19 pages, submitted to journa
Optimal laser heating of plasmas with constant density
The laser heating of a plasma with constant density is analyzed using optimal control theory. Heating strategies that minimize the total energy spent, the heating time, or a linear combination of the two, for several values of weighting coefficients, are obtained by determining the optimal laser intensity associated with each point of the phase plane. A numerical example is used to illustrate the application of the theory. In this particular example, savings in the energy spent up to 75%, compared with the energy required using a constant laser pulse, are obtained when minimum energy trajectories are implemented. Strategies that minimize the heating time, however, did not yield a significant reduction in the heating time. Numerical results may depend strongly on the initial state of the system as well as on the final ion temperature of the plasma.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45228/1/10957_2004_Article_BF00938468.pd
Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions
An optimal control problem, which includes restrictions on the controls and equality/inequality constraints on the terminal states, is formulated. Second-order necessary conditions of the accessory-problem type are obtained in the absence of normality conditions. It is shown that the necessary conditions generalize and simplify prior results due to Hestenes (Ref. 5) and Warga (Refs. 6 and 7).Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45219/1/10957_2004_Article_BF00934437.pd
Consideration of Optimal Control Problems Specificity On Generalizing Mathematical Programming Algorithms
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