Development of a method for the accelerated two-stage search for an optimal control trajectory in periodical processes

Lutsenko, Igor; Fomovskaya, Elena; Konokh, Igor; Oksanych, Iryna

doi:10.15587/1729-4061.2017.103731

Cited by 8 publications

(5 citation statements)

References 18 publications

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“…The present research is continuation of the studies related to the development of optimization methods and search for optimal trajectories of control [23].…”

Section: Discussion Of Results Of Research Into Determining Optimal Tmentioning

confidence: 85%

Development of the method for determining optimal parameters of the process of displacement of technological objects

Lutsenko

Tytiuk

Oksanych

et al. 2017

EEJET

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“…The present research is continuation of the studies related to the development of optimization methods and search for optimal trajectories of control [23].…”

Section: Discussion Of Results Of Research Into Determining Optimal Tmentioning

confidence: 85%

Development of the method for determining optimal parameters of the process of displacement of technological objects

Lutsenko

Tytiuk

Oksanych

et al. 2017

EEJET

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“…The aim of research [8] is to develop a method for a twostage search for the optimal control trajectory in periodic production processes. This technique refers to such operational processes in which the use of a dynamic programming method is impossible due to the incompatibility of the results of each stage of the operation.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…where H = -ψ(0, t)q(t) is a Hamiltonian function. Expressions ( 9), (10) determine the boundary conditions for the adjoint equation (8). From (11) it can be seen that the gradient has the form F′(q) = -ψ(0, t).…”

Section: Statement Of the Problem And Derivation Of The Formula For C...mentioning

confidence: 99%

Solution of one optimum control problem regarding the depletion of gas reservoir

Mamtiyev

Aliyeva

Rzayeva

2022

EEJET

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Using the methods of the optimal control theory, the problem of determining the optimal technological mode of gas deposits’ exploitation under the condition of their depletion by a given point in time is solved. This task is of particular interest for the exploitation of offshore fields, the activity of which is limited by the service life of the field equipment. The considered problem is also of certain mathematical interest as an objective of optimal control of nonlinear systems with distributed parameters. The usefulness and importance of solving such problems are determined by the richness of the class of major tasks that have a practical result. As an optimality criterion, a quadratic functional characterizing the conditions of reservoir depletion is considered. By introducing an auxiliary boundary value problem, and taking into account the stationarity conditions for the Lagrange functions at the optimal point, a formula for the gradient of the minimized functional is obtained. To obtain a solution to this specific optimization problem, which control function is sought in the class of a piecewise continuous and bounded function with discontinuities of the first kind, the Pontryagin’s maximum principle is subjected. The calculation of the gradient of the functional for the original and adjoint problems with partial differential equations is carried out by the method of straight lines. The numerical solution of the problem was carried out by two methods – the method of gradient projection with a special choice of step and the method of successive approximations. Despite the incorrectness of optimal control problems with a quadratic functional, the gradient projection method did not show a tendency to «dispersion» and gave a convergent sequence of controls.

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“…To form controlled ultrasonic waves when controlling parameters of the ore pulp, it is suggested to apply phased arrays. Elaboration of the method and use of the obtained results of measurements for optimal control of concentration processes are presented in (Lutsenko et al, 2017a;2017b).…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Archives of Acoustics

Morkun

Tron

et al. 2019

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The article describes the method of controlling the recovered grade based on measuring the intensity of volume ultrasonic oscillations and Lamb waves covering a fixed distance through the test medium and on a metal plate contacting the test medium at various time points of deliberate motion of ground materials.The authors suggest a method of determining density of ground ore particles in the pulp periodically after isolating the pulp flow in the vertical part of the measuring vessel based on measuring attenuation change values in Lamb waves covering a fixed distance on a plate contacting the medium under study and high frequency volume ultrasonic oscillations that have come through it within a certain time period.There are given dependencies of amplitudes of measuring channels based on volume ultrasonic oscillations and surface Lamb waves, size distribution according to solid phase pulp particles for various types of ores under study, a set of curves for determining the recovered grade with regard to various types of ores under study.

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Development of a method for the accelerated two-stage search for an optimal control trajectory in periodical processes

Cited by 8 publications

References 18 publications

Development of the method for determining optimal parameters of the process of displacement of technological objects

Development of the method for determining optimal parameters of the process of displacement of technological objects

Solution of one optimum control problem regarding the depletion of gas reservoir

Archives of Acoustics

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