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Tytuł:
A boundary value problem for a non-linear difference equation
Autorzy:
Lefebvre, Mario
Powiązania:
https://bibliotekanauki.pl/articles/27324014.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
higher-order difference equations
optimal control
dynamic programming
first-passage time
homing problem
Opis:
A boundary value problem for a non-linear difference equation of order three is considered. We show that this equation can be interpreted as the equation satisfied by the value function in a stochastic optimal control problem. We thus obtain an expression for the solution of the non-linear difference equation that can be used to find an explicit solution to this equation. An example is presented.
Źródło:
Archives of Control Sciences; 2023, 33, 4; 829--837
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Deployment of a predictive-like optimal control law on a servo drive system using linear programming approach
Autorzy:
Horla, Dariusz
Pinczewski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/27309954.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
constraints
linear programming
optimal control
servo drive
Opis:
Current drive control systems tend to push control loops to the limits of their performance. One of the ways of doing so is to use advanced optimization algorithms, usually related to model-based off-line calculations, such as genetic algorithms, the particle swarmoptimisation or the others. There is, however, a simpler way, namely to use predictive control formalism and by formulation of a simple linear programming problem which is easy to solve using powerful solvers, without excessive computational burden, what is a reliable solution, as whenever the optimization problem has a feasible solution, a global minimizer can be efficiently found. This approach has been deployed for a servo drive system operated by a real-time sampled-data controller, verified between model-in-the-loop and hardwarein- the-loop configurations, for a range of prediction horizons, as an attractive alternative to classical quadratic programming-related formulation of predictive control task.
Źródło:
Archives of Electrical Engineering; 2023, 72, 4; 1005--1016
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the control of the final speed for a class of finite-dimensional linear systems: controllability and regulation
Autorzy:
Rachik, Mostafa
Khaloufi, Issam
Benfatah, Youssef
Boutayeb, Hamza
Laarabi, Hassan
Powiązania:
https://bibliotekanauki.pl/articles/29432204.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
speed-controllability
controllability
continuous systems
regulation
Kalman’s condition
Opis:
In this article, we extended the concept of controllability, traditionally used to control the final state of a system, to the exact control of its final speed. Inspired by Kalman’s theory, we have established some conditions to characterize the control that allows the system to reach a desired final speed exactly. When the assumptions ensuring speed-controllability are not met, we adopt a regulation strategy that involves determining the control law to make the system’s final speed approach as closely as possible to the predefined final speed, and this at a lower cost. The theoretical results obtained are illustrated through three examples.
Źródło:
Archives of Control Sciences; 2023, 33, 3; 497--525
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback
Autorzy:
Kiritsis, Konstadinos H.
Powiązania:
https://bibliotekanauki.pl/articles/31342764.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stabilization
proportional-plus-derivative state feedback
linear time-invariant systems
Opis:
This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional- plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.
Źródło:
Control and Cybernetics; 2023, 52, 1; 53-77
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of development tendencies of metrological technologies to control rangefinders of an electronic distance measurement instruments
Autorzy:
Burachek, Vsevolod
Khomushko, Dmytro
Tereshchuk, Oleksiy
Kryachok, Sergíy
Belenok, Vadim
Powiązania:
https://bibliotekanauki.pl/articles/43852820.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
kalibrowanie
dalmierz
błąd pomiaru odległości
calibration
rangefinder
electronic distance measurement
reference linear station
root mean square
error distance measurement
Opis:
The article analyses the development of metrological control technologies for electronic distance measurement rangefinders to determine their main characteristic of accuracy – the root mean square error of distance measurement. It is established that the current reference linear bases are reliable and serve as the main means of transmitting a unit of length from the standards to the working means of measuring length. The article describes the existing linear reference bases and specifies their accuracy and disadvantages. It is concluded that the disadvantages of linear reference bases are deprived of the reference linear bases built in special laboratories. They use distances measured by the differential method with laser interferometers as reference distances. The application of such technology allowed to automate the processes of measurements and calculations. There is development of fibre-optic linear bases, in which optical fibres of known length are used as model lines. The article offers a new technical solution – a combination of fiber-optic and interference linear bases, which allows to qualitatively improve the system of metrological support of laser rangefinders. This is achieved by having a fiber-optic unit, which allows you to create baselines of increased length, while ensuring small dimensions of the baseline, and relative interference base, which provides high accuracy of linear measurements and does not require calibration of the base with a precision rangefinder, which eliminates several difficulties associated with changes in the refractive index, makes measurements independent of the wavelength of the radiation source and almost independent of the ambient temperature.
Źródło:
Advances in Geodesy and Geoinformation; 2022, 71, 1; art. no. e13, 2022
2720-7242
Pojawia się w:
Advances in Geodesy and Geoinformation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparative Analysis of Procedures and Solutions to Improve Energy Efficiency of Massive MIMO
Autorzy:
Phogat, Ritu Singh
Joshi, Rutvij
Powiązania:
https://bibliotekanauki.pl/articles/2200684.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
EE
Uplink-Downlink Transmission
power control
linear precoding
CF Massive MIMO
Opis:
The blustery growth of high data rate applications leads to more energy consumption in wireless networks to satisfy service quality. Therefore, energy-efficient communications have been paid more attention to limited energy resources and environmentally friendly transmission functioning. Countless publications are present in this domain which focuses on intensifying network energy efficiency for uplink-downlink transmission. It is done either by using linear precoding schemes, by amending the number of antennas per BS, by power control problem formulation, antenna selection schemes, level of hardware impairments, and by considering cell-free (CF) Massive-MIMO. After reviewing these techniques, still there are many barriers to implement them practically. The strategies mentioned in this review show the performance of EE under the schemes as raised above. The chief contribution of this work is the comparative study of how Massive MIMO EE performs under the background of different methods and architectures and the solutions to few problem formulations that affect the EE of network systems. This study will help choose the best criteria to improve EE of Massive MIMO while formulating a newer edition of testing standards. This survey provides the base for interested readers in energy efficient Massive MIMO.
Źródło:
International Journal of Electronics and Telecommunications; 2022, 68, 4; 677--686
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized multi-agent formation control with pole-region placement via cone-complementarity linearization
Autorzy:
González, Antonio
Sala, Antonio
Armesto, Leopoldo
Powiązania:
https://bibliotekanauki.pl/articles/2172117.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
multiagent autonomous system
formation control
linear matrix inequalities
cone complementarity linearization
system wieloagentowy
sterowanie formacją
liniowe nierówności macierzowe
Opis:
An output-feedback decentralised formation control strategy is pursued under pole-region constraints, assuming that the agents have access to relative position measurements with respect to a set of neighbors in a graph describing the sensing topology. No communication between the agents is assumed; however, a shared one-way communication channel with a pilot is needed for steering tasks. Each agent has a separate copy of the same controller. A virtual structure approach is presented for the formation steering as a whole; actual formation control is established via cone-complementarity linearization algorithms for the appropriate matrix inequalities. In contrast to other research where only stable consensus is pursued, the proposed method allows us to specify settling-time, damping and bandwidth limitations via pole regions. In addition, a full methodology for the decoupled handling of steering and formation control is provided. Simulation results in the example section illustrate the approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 3; 415--428
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of a linear quadratic regulator based on genetic model reference adaptive control
Autorzy:
Abdullah, Abdullah I.
Mahmood, Ali.
Thanoon, Mohammad A.
Powiązania:
https://bibliotekanauki.pl/articles/27314263.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
model reference adaptive control
gradient approach
Linear Quadratic Regulator
genetic algorithm
Opis:
The conventional control system is a controller that controls or regulates the dynamics of any other process. From time to time, a conventional control system may not behave appropriately online; this is because of many factors like a variation in the dynamics of the process itself, unexpected changes in the environment, or even undefined parameters of the system model. To overcome this problem, we have designed and implemented an adaptive controller. This paper discusses the design of a controller for a ball and beam system with Genetic Model Reference Adaptive Control (GMRAC) for an adaptive mechanism with the MIT rule. Parameter adjustment (selection) should occur using optimization methods to obtain an optimal performance, so the genetic algorithm (GA) will be used as an optimization method to obtain the optimum values for these parameters. The Linear Quadratic Regulator (LQR) controller will be used as it is one of the most popular controllers. The performance of the proposed controller with the ball and beam system will be carried out with MATLAB Simulink in order to evaluate its effectiveness. The results show satisfactory performance where the position of the ball tracks the desired model reference.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2022, 16, 3; 75--81
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault-tolerant tracking control for a non-linear twin-rotor system under ellipsoidal bounding
Autorzy:
Kukurowski, Norbert
Mrugalski, Marcin
Pazera, Marcin
Witczak, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/2124781.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault tolerant control
simultaneous fault
external disturbances
nonlinear system
robust fault estimation
fault detection
fault diagnosis
sterowanie tolerujące uszkodzenia
uszkodzenie równoczesne
zakłócenia zewnętrzne
układ nieliniowy
szacowanie błędu
wykrywanie uszkodzenia
diagnoza uszkodzenia
Opis:
A novel fault-tolerant tracking control scheme based on an adaptive robust observer for non-linear systems is proposed. Additionally, it is presumed that the non-linear system may be faulty, i.e., affected by actuator and sensor faults along with the disturbances, simultaneously. Accordingly, the stability of the robust observer as well as the fault-tolerant tracking controller is achieved by using the ℋ∞ approach. Furthermore, unknown actuator and sensor faults and states are bounded by the uncertainty intervals for estimation quality assessment as well as reliable fault diagnosis. This means that narrow intervals accompany better estimation quality. Thus, to cope with the above difficulty, it is assumed that the disturbances are over-bounded by an ellipsoid. Consequently, the performance and correctness of the proposed fault-tolerant tracking control scheme are verified by using a non-linear twin-rotor aerodynamical laboratory system.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 171--183
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed terminal time fractional optimal control problem for discrete time singular system
Autorzy:
Chiranjeevi, Tirumalasetty
Devarapalli, Ramesh
Babu, Naladi Ram
Vakkapatla, Kiran Babu
Rao, R. Gowri Sankara
Garcìa Màrquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2175112.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order differential equation
discrete time singular system
fractional derivative
linear quadratic optimal control problem
Opis:
This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 489--506
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximizing performance of linear model predictive control of glycemia for T1DM subjects
Autorzy:
Dodek, Martin
Miklovicová, Eva
Powiązania:
https://bibliotekanauki.pl/articles/2134885.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
diabetes mellitus
artificial pancreas
glycemia control
predictive control
constrained optimization
control feasibility
Opis:
The primary objective of this paper is the custom design of an effective, yet relatively easy-to-implement, predictive control algorithm to maintain normoglycemia in patients with type 1 diabetes. The proposed patient-tailorable empirical model featuring the separated feedback dynamics to model the effect of insulin administration and carbohydrate intake was proven to be suitable for the synthesis of a high-performance predictive control algorithm for artificial pancreas. Within the introduced linear model predictive control law, the constraints were applied to the manipulated variable in order to reflect the technical limitations of insulin pumps and the typical nonnegative nature of the insulin administration. Similarly, inequalities constraints for the controlled variable were also assumed while anticipating suppression of hypoglycemia states during the automated insulin treatment. However, the problem of control infeasibility has emerged, especially if one uses too tight constraints of the manipulated and the controlled variable concurrently. To this end, exploiting the Farkas lemma, it was possible to formulate the helper linear programming problem based on the solution of which this infeasibility could be identified and the optimality of the control could be restored by adapting the constraints. This adaptation of constraints is asymmetrical, thus one can force to fully avoid hypoglycemia at the expense of mild hyperglycemia. Finally, a series of comprehensive in-silico experiments were carried out to validate the presented control algorithm and the proposed improvements. These simulations also addressed the control robustness in terms of the intersubject variability and the meal announcements uncertainty.
Źródło:
Archives of Control Sciences; 2022, 32, 2; 305--333
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non‐linear model‐based predictive control for trajectory tracking and control effort minimization in a smartphone‐based quadrotor
Autorzy:
García, Luis
Rosero, Esteban
Powiązania:
https://bibliotekanauki.pl/articles/27314228.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
quadrotor
model-based predictive control
smartphone
trajectory tracking
energy consumption
Opis:
In this paper, the design and implementation of a nonlinear model‐based predictive controller (NMPC) for predefined trajectory tracking and to minimize the control effort of a smartphone‐based quadrotor are developed. The optimal control actions are calculated in each iteration by means of an optimal control algorithm based on the non‐linear model of the quadrotor, considering some aerodynamic effects. Control algorithm implementation and simulation tests are executed on a smartphone using the CasADi framework. In addition, a technique for estimating the energy consumed based on control signals is presented. NMPC controller performance was compared with other works developed towards the con‐ trol of quadrotors, based on an H∞ controller and an LQI controller, and using three predefined trajectories, where the NMPC average tracking error was around 50% lower, and average estimated power and energy consumption slightly higher, with respect to the H∞ and LQI controllers.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2022, 16, 4; 13--18
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the minimum energy compensation for linear time-varying disturbed systems
Autorzy:
Magri, El Mostafa
Amissi, Chadi
Afifi, Larbi
Lhous, Mustapha
Powiązania:
https://bibliotekanauki.pl/articles/2175118.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dynamical systems
remediability
observation
optimal control
disturbance
Opis:
We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability. A general approach was given to minimize the linear quadratic problem. Examples and numerical simulations are given.
Źródło:
Archives of Control Sciences; 2022, 32, 4; 733--754
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal state feedback controller for balancing cube
Autorzy:
Kowalczyk, Adam
Piotrowski, Robert
Powiązania:
https://bibliotekanauki.pl/articles/27314202.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
balancing cube
control systems
linear quadratic regulator
mathematical model
physical model
Opis:
In this paper, a nonlinear balancing cube system is considered, the concept for which is based on an inverted pendulum. The main purpose of this work was the modelling and construction of a balancing cube with the synthesis of the control system. The control objectives included swing-up and stabilization of the cube on its vertex at an unstable equilibrium. Execution of the intended purpose required, first, deriving a cognitive mathematical model. It was based on the Lagrange method. Next, a mathematical model for control purposes was derived. The project of the physical model of the balancing cube was presented. A stabilization system based on a linear quadratic regulator (LQR) was developed. Moreover, a swing-up mechanism was used to bring the cube close to the upper equilibrium point. The algorithm switching condition was important to enable the correct functioning of the system. The developed control system was verified in the Matlab environment. Finally, verifying experiments and comparisons among models (mathematical and physical) were performed.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2022, 16, 3; 3--12
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Projekt układu sterowania ciągiem wektorowanym rakiety
Control system design for rocket thrust vectoring
Autorzy:
Durawa, Piotr
Gromko, Kacper
Puchalski, Bartosz
Powiązania:
https://bibliotekanauki.pl/articles/37520245.pdf
Data publikacji:
2022
Wydawca:
Politechnika Gdańska. Wydział Elektrotechniki i Automatyki
Tematy:
automatyka
model rakiety
pętla sprzętowa
regulator liniowo-kwadratowy
ciąg wektorowany
rocket model
hardware in the loop
linear-quadratic controller
thrust vectoring
Opis:
Artykuł opisuje problem syntezy układu sterowania ciągiem wektorowanym rakiety w strategii pionowego startu i pionowego lądowania. Celem badań było symulacyjne określenie możliwości wykorzystania regulatora liniowo-kwadratowego w układzie sterowania orientacją rakiety podczas lotu. W pracy oprócz badań symulacyjnych zweryfikowano również algorytm sterowania z wykorzystaniem autorskiego stanowiska z rakietą prototypową wyposażoną w turbinę o napędzie elektrycznym, która służyła do wytwarzania siły ciągu. Sterowanie kierunkiem strugi powietrza prototypowej rakiety zapewniał system lotek umieszczony w jej dolnej części. Weryfikacja zaprojektowanego systemu sterowania przebiegła pomyślnie zarówno w warunkach symulacyjnych jak i w trakcie prób z wykorzystaniem stanowiska prototypowego.
In this paper the problem of synthesis of the thrust vectoring control system of a rocket in a vertical take-off and vertical landing strategy is described. The purpose of the study was to simulationally determine the feasibility of using a linearquadratic controller in the control system of rocket orientation during flight. In addition to simulation studies, the research also verified the control algorithm using an original test stand with a prototype rocket equipped with an electrically driven turbine, which was used to generate thrust. Control of the direction of the prototype rocket's air stream was provided by an aileron system located at the bottom of the rocket. Verification of the designed control system was successful both under simulation conditions and during tests using the prototype stand.
Źródło:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej; 2022, 75; 19-22
1425-5766
2353-1290
Pojawia się w:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej
Dostawca treści:
Biblioteka Nauki
Artykuł

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