Synthesis of Control in Nonlinear Systems with Different Types of Feedback and Strategies of Control

Guliyev, Samir

doi:10.1615/jautomatinfscien.v45.i7.70

Cited by 8 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The formulated feedback zonal controls problem (1) -( 11) leads to a finite-dimensional optimization problem. For numerical solution to this problem, we propose to use the approach described in [2][3][4][5][6][7]. To solve the problem the case of a simple design of a set of admissible controls (for example, a parallelepiped, a hyper-sphere, a polyhedron, etc.…”

Section: Problem Statementmentioning

confidence: 99%

“…We have used the principle of zonality of control parameters as the basis of numerical techniques for solving such specific optimization and inverse problems like the problem of optimal placement of production and injection wells and optimal control of their flow rates during the operation of an oil reservoir under the regime of water-driven piston displacement [1], the problem of identifying the hydraulic resistance coefficient under the unsteady flow of viscous fluids through pipelines [2], and problems of feedback control and identification of objects with lumped parameters [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Rod Heating Problem by Sources on the Class of Zonal Controls Using the Current and Past State at Measurement Points

Guliyev,

Aydazade

2023

MCIT

View full text Add to dashboard Cite

We study an optimal feedback control problem for the rod heating process by means of lumped sources. The control actions are the powers of the sources, the values of which are defined on the class of zonal controls. The values of the parameters of zonal control actions are determined by subsets of the state space, to which belong the values of the process state at the measurement points at the current and past time moments. The posed problem is reduced to a parametric optimal control problem on determining a finite-dimensional vector of values of the parameters of zonal control actions. We have obtained optimality conditions for the values of the parameters of zonal control actions. These conditions contain formulas for the gradient of the objective functional with respect to the optimizable parameters. They make it possible to solve the reduced problem numerically with the application of efficient first-order optimization methods.

show abstract

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Rod Heating Problem by Sources on the Class of Zonal Controls Using the Current and Past State at Measurement Points

Guliyev,

Aydazade

2023

MCIT

View full text Add to dashboard Cite

show abstract

“…We have used the principle of zonality of control parameters as the basis of numerical techniques for solving such specific optimization and inverse problems like the problem of optimal placement of production and injection wells and optimal control of their flow rates during the operation of an oil reservoir under the regime of water-driven piston displacement [1], the problem of identifying the hydraulic resistance coefficient under the unsteady flow of viscous fluids through pipelines [5], and problems of feedback control and identification of objects with lumped parameters [2], [3], [4], [13], [14], [16], [17], [18].…”

Section: Introductionmentioning

confidence: 99%

https://www.bakumathj.org/archive/Vol2No2/j.bmj.033.pdf

Guliyev

2023

BMJ

View full text Add to dashboard Cite

In the paper, we consider an approach for numerical solution to the optimal feedback control problem for an object with distributed parameters on the basis of observation of the object’s phase state at its specific locations by the example of the rod heating process. The control actions are the power of the heat source, the values of which are defined on the class of “zonal” controls. The values of the parameters of zonal control actions are determined by subsets of the state space, to which belong the values of the process state at the measurement points at the current moment of time. The problem of determining zonal controls is reduced to a parametric optimal control problem on determining a finite-dimensional vector of values of the parameters of zonal control actions. We derive optimality conditions for the values of the parameters of zonal control actions. These conditions contain formulas for the gradient of the objective functional with respect to the optimizable parameters of zonal controls. They make it possible to solve the stated problem numerically with the application of efficient first-order optimization methods.

show abstract

“…We have used the principle of zoning of control parameters as the basis of numerical methods for solving such specific optimization and inverse problems like the problem of optimal placement of production and injection wells and optimal control of their flow rates during the operation of an oil reservoir under the regime of water-driven piston displacement (Guliyev S.Z., Aida-zade K.R., 2005), and the problem of identifying the hydraulic resistance coefficient under the unsteady flow of viscous fluids through pipelines (Guliyev S.Z. and Aida-zade K.R., 2016), as well as problems of synthesis of control and identification of objects with lumped parameters (Kuliev, S. Z., 2011;Aida-Zade, K. R., & Kuliev, S. Z., 2012;Aida-Zade, K. R., & Kuliev, S. Z., 2011;Guliyev, S. Z. (2013).…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Zonal Control of Lumped Sources for the Heat Conduction Process

Kuliev¹,

Oil²

2020

AzJHPC

View full text Add to dashboard Cite

The paper studies the problem of synthesis of control of lumped sources for an object with distributed parameters based on discrete observation of the phase state at specific object points. We propose an approach in which the whole phase space at the observed points is preliminarily divided in some way into given subsets (zones). The synthesized controls are selected from the class of piecewise-constant functions, and their current values are determined by a subset of the phase space containing the population of current states of the object at the observed points, at which controls take constant values. Such synthesized controls are called zonal. We give a numerical technique for obtaining optimal values of zonal controls using efficient first-order optimization methods. To this purpose, we derive formulas for the gradient of the objective function in the space of zonal controls.

show abstract

Synthesis of Control in Nonlinear Systems with Different Types of Feedback and Strategies of Control

Cited by 8 publications

References 0 publications

On the Rod Heating Problem by Sources on the Class of Zonal Controls Using the Current and Past State at Measurement Points

On the Rod Heating Problem by Sources on the Class of Zonal Controls Using the Current and Past State at Measurement Points

https://www.bakumathj.org/archive/Vol2No2/j.bmj.033.pdf

Synthesis of Zonal Control of Lumped Sources for the Heat Conduction Process

Contact Info

Product

Resources

About