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1
Content available Optimal control problems with a fixed terminal time in linear fractional-order systems
Gomoyunov M. I.
Archives of Control Sciences
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2020
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Vol. 30, No. 4
721--744
EN
The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two terms: the first one evaluates the state of the system at a fixed terminal time, and the second one is an integral evaluation of the control on the whole time interval. In order to solve this problem, we propose to reduce it to some auxiliary optimal control problem in a dynamical system described by a first-order ordinary differential equation. The reduction is based on the representation formula for solutions to linear fractional differential equations and is performed by some linear transformation, which is called the informational image of a position of the original system and can be treated as a special prediction of a motion of this system at the terminal time. A connection between the original and auxiliary problems is established for both open-loop and feedback (closed-loop) controls. The results obtained in the paper are illustrated by examples.
2
Content available remote Study of the behaviour of a doubly-fed induction machine supplied with scalar open-loop control
Vukotić Mario, Miljavec Damijan
Przegląd Elektrotechniczny
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2019
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R. 95, nr 5
22--26
EN
Doubly-fed induction machine is usually used in variable-speed electric drives, where the rotor speed is in the vicinity of the synchronous speed. Finite-element-method model has been built and several studies, i. e. start up, sudden load change and fan drive, have been performed in order to verify the machine behaviour in supersynchronous motor operation. The simplest form of control (open-loop U/f control) has been used for rotor voltage supply, while the stator was connected directly to the public network.
PL
Maszyna indukcyjna dwustronnie zasilana jest zwykle używana w napędach elektrycznych o zmiennej prędkości, gdzie prędkość wirnika jest zbliżona do prędkości synchronicznej. Opracowano model w oparciu o metodę elementów skończonych. Przeprowadzono doświadczenia, w których zmieniano parametry rozruchu, obciążenie i wentylator w celu sprawdzenia zachowania maszyny w trybie pracy silnika supersynchronicznego. Najprostsza forma sterowania (sterowanie U/f w otwartej pętli) została wykorzystana do zasilania napięciowego wirnika, podczas gdy stojan został podłączony bezpośrednio do sieci publicznej.
3
Content available Open loop control of piezoelectric tube transducer
Stefanski F., Minorowicz B.
Archives of Mechanical Technology and Materials
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2018
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Vol. 38
23--28
EN
This paper is focused on the open loop control of a piezoelectric tube actuator, hindered by a strong hysteresis. The actuator was distinguished with 22 % hysteresis, which hinders the positioning of piezoelectric actuator. One of the possible ways to solve this problem is application of an accurate analytical inversed model of the hysteresis in the control loop. In this paper generalized Prandtl-Ishlinskii model was used for both modeling and open loop control of the piezoelectric actuator. Achieved modeling error does not exceed max. 2.34 % of the whole range of tube deflection. Finally, the inverse hysteresis model was applied to the control line of the tube. For the same input signal (damped sine 0.2 Hz) as for the model estimation the positioning error was max. 4.6 % of the tube deflection. Additionally, for a verification reason three different complex harmonic functions were applied. For the verification functions, still a good positioning was obtained with positioning error of max. 4.56 %, 6.75 % and 5.6% of the tube deflection.
4
Content available remote Asymmetric Acceleration Drive Using Linear Oscillatory Actuator under Open-Loop Control
Yoshimoto T., Hirata K., Asa Y., Ueyama K., Hashimoto E., Takagi T.
Przegląd Elektrotechniczny
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2012
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R. 88, nr 7b
44-47
EN
This paper proposes an asymmetric acceleration drive method for linear oscillatory actuators under open-loop control. The effectiveness of this method is confirmed through the comparison of the 3-D FEM analysis results with the measurements of a prototype.
PL
W artykule przedstawiono asymetryczne urządzenie oscylacyjne dla liniowych aktuatorów ze sterowaniem otwarto-pętlowym. Efektywność metody analizy została potwierdzona poprzez porównanie analizy elementowo-skończeniowej z wynikami pomiarów3D.
5
Content available remote Sterowanie i regulacja elastycznymi systemami wytwarzania
Honczarenko J., Jardzioch A., Sosnowski M.
Pomiary Automatyka Robotyka
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2007
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R. 11, nr 2
PL
W referacie przedstawiono problem sterowania i regulacji nowoczesnymi elastycznymi systemami wytwarzania. Przedstawiono metody sterowania pracą ESW w układzie otwartym i w układzie zamkniętym czyli regulację. Sterowanie w układzie otwartym odbywa się z wykorzystaniem harmonogramów wygenerowanych w programie eM-Plant. W drugim przypadku podjęto próbę automatycznej regulacji systemem za pomocą wnioskowania rozmytego.
EN
The paper presents conception of open-loop control and closed-loop control of Flexible Manufacturing Systems. Open-loop control is based on schedules, which are generated with help of eM-Plant program. In second case one take under consideration the test of automatic control with the help of the existing bases of rules and Fuzzy logic blurred inference.
6
Content available remote Optimal real-time control for dynamical systems under uncertainty
Gabasov R., Kirillova F.M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2007
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Vol. 55, nr 1
7-13
EN
The synthesis problem for optimal control systems in the class of discrete controls is under consideration. The problem is investigated by reducing to a linear programming (LP) problem with consequent use of a dynamic version of the adaptive method of LP. Both perfect and imperfect information on behavior of control system cases are studied. Algorithms for the optimal controller, optimal estimators are described. Results are illustrated by examples.
7
Content available remote Open--loop control of a twin--screw ferry
Gierusz W.
Polish Maritime Research
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1999
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nr 3
17-22
EN
In the paper the ferry and its simulation model are described and identification of its inverse steady--state characteristics is presented. Next results of the open--loop steering of the passenger ferry "Stena Germanica" in longitudal and lateral directions and turning in a place are given and compared with results of real--ship trials and model ship experiments.
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