title: Digital control design based on predictive models to keep the controlled variables in a given range
metadata.name: dc.contributor.author
metadata.value: Sotnikova, Margarita V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-10-18T13:03:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-10-18T13:03:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Sotnikova M. V. Digital control design based on predictive models to keep the controlled variables in a given range. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 3, pp. 397–409.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.309
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/16390
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of digital control design to keep the controlled variables of a dynamic object in a given range is considered, taking into account the constraints imposed on the manipulated variables. The essence of the problem is to ensure that the process variables are enter and then kept within the required range. The change of variables within the range can be arbitrary. Such problem necessitates the development of special methods for the design of control laws, which are different from the classical approaches, where the control objective is given by a reference signal. An approach to the synthesis of digital control law, based on the use of predictive models, is proposed. In the framework of this approach, the control objective is achieved by introducing a special quadratic cost functional, which includes the penalty term for the output of controlled variables from the required range. Minimization of this functional on the prediction horizon, taking into account the existing constraints on the manipulated variables, ensures that the controlled variables fall in the given range. It is shown that the real-time implementation of the control law imply solving the quadratic programming problem at each instant of discrete time. The effectiveness of the developed control algorithm is illustrated by examples of modeling of oil refining processes in a distillation column.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Found of Fundamental Research (project N 17-07-00361a).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: digital control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: predictive model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: control in a range
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: distillation column
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Digital control design based on predictive models to keep the controlled variables in a given range
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 397-409.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/16390/1/397-409.pdf
resources.format: Adobe PDF
resources.size: 522,39 kB