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This article is cited in 2 scientific papers (total in 2 papers)
Control processes
Digital control design based on predictive models to keep the controlled variables in a given range
M. V. Sotnikova St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
Abstract:
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.
Keywords:
digital control, predictive model, optimization, control in a range, distillation column.
Received: May 2, 2019 Accepted: June 6, 2019
Citation:
M. V. Sotnikova, “Digital control design based on predictive models to keep the controlled variables in a given range”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:3 (2019), 397–409
Linking options:
https://www.mathnet.ru/eng/vspui417 https://www.mathnet.ru/eng/vspui/v15/i3/p397
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Abstract page: | 107 | Full-text PDF : | 16 | References: | 13 | First page: | 2 |
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