Synthesis of optimal control of technological processes based on a multialternative parametric description of the final state

Demin, Dmitriy

doi:10.15587/1729-4061.2017.105294

Cited by 29 publications

(34 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The ranges of input variables are chosen as follows: x 1 = λ = [0.1; 0.5], x 2 = μ = [0.03; 0.07], the rationing is performed by a standard procedure that translates the specified ranges of natu ral values into [-1; +1]. Optimization is performed by a ridge analysis based on the parametric description of the species [14]: -suboptimal values of output variables, y* = n*.…”

Section: Methods Of Researchmentioning

confidence: 99%

Operation optimization of holding furnaces in special casting shops

Dotsenko¹,

Доценко²,

Tkachyna³

et al. 2018

TAPR

View full text Add to dashboard Cite

Section: Methods Of Researchmentioning

confidence: 99%

Operation optimization of holding furnaces in special casting shops

Dotsenko¹,

Доценко²,

Tkachyna³

et al. 2018

TAPR

View full text Add to dashboard Cite

“…To synthesize the optimal temperature controller in an induction mixer, one can apply a method which theory is described in [10]. According to it, the phase trajectory of the system when choosing a system of differential equations (SDE), describing the change in the chemical composition over time, with a change in the melt temperature, as a mathematical model, intersects the admissible region at two points.…”

Section: Synthesis Of the Optimal Controller Of The Temperature Rementioning

confidence: 99%

“…Such dependencies can be obtained on the basis of the application of the procedure of artificial orthogonalization from the data of a passive experiment [12][13][14]. The final state, according to [10], is a description of the solution of the problem of comb analysis.…”

Section: Synthesis Of the Optimal Controller Of The Temperature Rementioning

confidence: 99%

Choice of the Optimal Control Strategy for the Duplex-Process of Induction Melting of Constructional Iron

Dymko

2018

EUREKA: Physics and Engineering

View full text Add to dashboard Cite

To find effective control of the duplex process of induction melting in conditions of uncertainties, a method was suggested that made it possible to obtain optimal controls for both stages: melting and thermal treatment.It is shown how the search for an optimal melting control strategy can be performed using the theory of statistical games. At the same time, it is selected which of the melting regimes will be the best with the existing provision of the shop with charge materials. The costs of melting are the total costs, consisting of:-costs for the selected technological mode of melting (including costs for materials); -costs from the potential rejection of castings due to the non-conformity of the chemical composition of the alloy to the specified -due to the incorrectly chosen melting mode;-costs from the downtime due to the fact that the necessary amount of metal from the furnace is not delivered to the conveyor.The choice of an optimal control strategy in accordance with the proposed procedure can remove uncertainty in the evaluation of input process variables if they are taken as indicators of the charge quality.To find the optimal control at the stage of the heat treatment, a multialternative description of the final state is proposed on the basis of solving the problem of ridge analysis. This makes it possible to remove the uncertainty in the estimation of the final state, which allows a lot of optimal solutions in the sense of achieving a given quality. It is shown that such approach makes it possible not only to synthesize the optimal controller of the temperature regime on the basis of an analysis of the system of differential equations describing the control object, but also the application of the Pontryagin maximum principle to search for optimal control of the thermal treatment.The proposed method allows to determine the optimal control in the sense of stabilization for a given process parameter of the duplex process of induction melting. The resulting solutions form the necessary logical conditions for the logic control unit for the control system of the duplex induction melting process.Keywords: optimal control strategy, duplex induction melting process, multialternative description of the final state.

show abstract

“…is the end time of the operation potential effect determination [6]. Table 1 The change in the portion liquid heating basic operation parameters depending on control (Table 1), we get the following dependence of the CCS operations efficiency on control (Fig.…”

Section: The Concept Of Finding Of Optimal Control Of the Converter Cmentioning

confidence: 99%

“…At the same time, the issues of optimal control processes formalization and automation are in the experimental developments stage [5,6].…”

Section: Introductionmentioning

confidence: 99%

Development of the method of quasi-optimal robust control for periodic operational processes

Lutsenko

Fomovskaya

Koval

et al. 2017

EEJET

View full text Add to dashboard Cite

Пошук супремуму оптимальної траєк-торії управління практично недосяжний в реальних умовах. Це пов'язано з великою кількістю ступенів свободи керованої сис-теми, коливанням попиту, вхідних і вихід-них цін, істотною нелінійністю внутріш-ньосистемних процесів. Виходом в такій ситуації може бути розробка робастних методів квазіоптимального управління. Пропонований підхід заснований на встанов-ленні взаємозв'язку управління перетворю-вальної системи з поточним рівнем виробни-чих запасів Ключові слова: оптимізація пов'язаних систем, квазіоптимальний управління, ро-бастна оптимізація, квазіоптимальна трає-кторія управління Поиск супремума оптимальной траекто-рии управления практически недостижим в реальных условиях. Это связано с большим количеством степеней свободы управляе-мой системы, колебанием спроса, входных и выходных цен, существенной нелинейно-стью внутрисистемных процессов. Выходом в такой ситуации может быть разработ-ка робастных методов квазиоптимального управления. Предлагаемый подход основан на установлении взаимосвязи управления преобразовательной системы с текущим уровнем производственных запасов Ключевые слова: оптимизация связан-ных систем, квазиоптимальное управление, робастная оптимизация, квазиоптимальная траектория управления UDC 007.5

show abstract

Synthesis of optimal control of technological processes based on a multialternative parametric description of the final state

Cited by 29 publications

References 32 publications

Operation optimization of holding furnaces in special casting shops

Operation optimization of holding furnaces in special casting shops

Choice of the Optimal Control Strategy for the Duplex-Process of Induction Melting of Constructional Iron

Development of the method of quasi-optimal robust control for periodic operational processes

Contact Info

Product

Resources

About