Optimal Control of Output Variables Within a Given Range Based on a Predictive Model

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Optimal Control of Output Variables Within a Given Range Based on a Predictive Model. / Сотникова, Маргарита Викторовна ; Севостьянов, Руслан Андреевич.

In: Communications in Computer and Information Science, Vol. 1661, 2022, p. 272-285.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{090245c32ab44ec282a255286d5672e8,

title = "Optimal Control of Output Variables Within a Given Range Based on a Predictive Model",

abstract = "This paper is devoted to the problem of digital control design to keep the output variables of the controlled process in a given range. Such a problem is of particular importance in control practice if it is only necessary to maintain some variables of a dynamic process in a stated range, but not to track the reference signal. The control design approach is developed for a nonlinear digital model. This approach is based on the predictive model and a special introduced cost functional that is minimized over the prediction horizon. This functional include two terms: the first term represent intensity of the control actions, the second term is a penalty for violating the specified range. It is shown that the optimal control design at each instant of discrete time is reduced to nonlinear programming problem. This problem always has a solution due to the addmissible set, which includes additional variables that guarantee the existence of the solution even in the case of violating the given range. The application of the proposed approach for oil refining in the distillation column is given. The examples of process simulation are presented and discussed.",

keywords = "Digital system, Distillation column, Given range, Nonlinear programming, Optimal control, Predictive model",

author = "Сотникова, {Маргарита Викторовна} and Севостьянов, {Руслан Андреевич}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; null ; Conference date: 02-07-2022 Through 06-07-2022",

year = "2022",

doi = "10.1007/978-3-031-16224-4_19",

language = "English",

volume = "1661",

pages = "272--285",

journal = "Communications in Computer and Information Science",

issn = "1865-0929",

publisher = "Springer Nature",

url = "http://motor2022.krc.karelia.ru/en/section/1",

}

RIS

TY - JOUR

T1 - Optimal Control of Output Variables Within a Given Range Based on a Predictive Model

AU - Сотникова, Маргарита Викторовна

AU - Севостьянов, Руслан Андреевич

PY - 2022

Y1 - 2022

N2 - This paper is devoted to the problem of digital control design to keep the output variables of the controlled process in a given range. Such a problem is of particular importance in control practice if it is only necessary to maintain some variables of a dynamic process in a stated range, but not to track the reference signal. The control design approach is developed for a nonlinear digital model. This approach is based on the predictive model and a special introduced cost functional that is minimized over the prediction horizon. This functional include two terms: the first term represent intensity of the control actions, the second term is a penalty for violating the specified range. It is shown that the optimal control design at each instant of discrete time is reduced to nonlinear programming problem. This problem always has a solution due to the addmissible set, which includes additional variables that guarantee the existence of the solution even in the case of violating the given range. The application of the proposed approach for oil refining in the distillation column is given. The examples of process simulation are presented and discussed.

AB - This paper is devoted to the problem of digital control design to keep the output variables of the controlled process in a given range. Such a problem is of particular importance in control practice if it is only necessary to maintain some variables of a dynamic process in a stated range, but not to track the reference signal. The control design approach is developed for a nonlinear digital model. This approach is based on the predictive model and a special introduced cost functional that is minimized over the prediction horizon. This functional include two terms: the first term represent intensity of the control actions, the second term is a penalty for violating the specified range. It is shown that the optimal control design at each instant of discrete time is reduced to nonlinear programming problem. This problem always has a solution due to the addmissible set, which includes additional variables that guarantee the existence of the solution even in the case of violating the given range. The application of the proposed approach for oil refining in the distillation column is given. The examples of process simulation are presented and discussed.

KW - Digital system

KW - Distillation column

KW - Given range

KW - Nonlinear programming

KW - Optimal control

KW - Predictive model

UR - http://www.scopus.com/inward/record.url?scp=85140439726&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/18f27d07-ad0e-32dd-8860-a939bf405734/

U2 - 10.1007/978-3-031-16224-4_19

DO - 10.1007/978-3-031-16224-4_19

M3 - Article

VL - 1661

SP - 272

EP - 285

JO - Communications in Computer and Information Science

JF - Communications in Computer and Information Science

SN - 1865-0929

Y2 - 2 July 2022 through 6 July 2022

ER -

ID: 96821532