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Wyświetlanie 1-15 z 52
Tytuł:
Approximation of optimal control problems with bound constraints by control parameterization
Autorzy:
Alt, W.
Powiązania:
https://bibliotekanauki.pl/articles/970516.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne nieliniowe
metoda Newtona
nonlinear optimal control
bound constraints
Newton's method
control parameterization
Opis:
We consider nonlinear optimal control problems with bound constraints for the controls. Under the assumption that the optimal control is continuous and has finitely many smooth boundary arcs, we show that the system of optimahty conditions can be reduced to a system of operator equations. Based on this system we investigate convergence of approximations by control parameterization.
Źródło:
Control and Cybernetics; 2003, 32, 3; 451-472
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparative analysis of multi-criteria decision making methods for the assessment of optimal SVC location
Autorzy:
Aydin, Faruk
Gümüş, Bilal
Powiązania:
https://bibliotekanauki.pl/articles/2173650.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Borda count method
FACTS
MCDM
optimal location
PSAT
voltage stability
flexible alternating current transmission system
power system analysis toolbox
multi criteria decision making
metoda liczenia Bordy
podejmowanie decyzji wielokryterialnej
lokalizacja optymalna
stabilność napięcia
elastyczne systemy przesyłowe prądu przemiennego
narzędzia do analizy systemu zasilania
Opis:
The goal of multi-criteria decision making (MCDM) is to select the most appropriate of the alternatives by evaluating many conflicting criteria together. MCDM methods are widely available in the literature and have been used in various energy problems. The key problems studied in electrical power systems in recent years have included voltage instability and voltage collapse. Different flexible alternating current transmission systems (FACTS) equipment has been used for this purpose for decades, increasing voltage stability while enhancing system efficiency, reliability and quality of supply, and offering environmental benefits. Finding the best locations for these devices in terms of voltage stability in actual electrical networks poses a serious problem. Many criteria should be considered when determining the most suitable location for the controller. The aim of this paper is to provide a comparative analysis of MCDM techniques to be used for optimal location of a static VAR compensator (SVC) device in terms of voltage stability. The ideal location can be determined by means of sorting according to priority criteria. The proposed approach was carried out using the Power System Analysis Toolbox (PSAT) in MATLAB in the IEEE 14-bus test system. Using ten different MCDM methods, the most appropriate locations were compared among themselves and a single ranking list was obtained, integrated with the Borda count method, which is a data fusion technique. The application results showed that the methods used are consistent among themselves. It was revealed that the integrated model was an appropriate method that could be used for optimal location selection, providing reliable and satisfactory results to power system planners.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 2; art. no. e140555
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A hybrid method for the optimal reactive power dispatch and the control of voltagesin an electrical energy network
Autorzy:
Benchabira, Aissa
Khiat, Mounir
Powiązania:
https://bibliotekanauki.pl/articles/140740.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
electrical energy network
interior point method (IPM)
optimal reactive power dispatch (ORPD)
particle swarm optimization (PSO)
Opis:
This paper presents the resolution of the optimal reactive power dispatch (ORPD) problem and the control of voltages in an electrical energy system by using a hybrid algorithm based on the particle swarmoptimization (PSO) method and interior point method (IPM). The IPM is based on the logarithmic barrier (LB-IPM) technique while respecting the non-linear equality and inequality constraints. The particle swarmoptimization-logarithmic barrier-interior point method (PSO-LB-IPM) is used to adjust the control variables, namely the reactive powers, the generator voltages and the load controllers of the transformers, in order to ensure convergence towards a better solution with the probability of reaching the global optimum. The proposed method was first tested and validated on a two-variable mathematical function using MATLAB as a calculation and execution tool, and then it is applied to the ORPD problem to minimize the total active losses in an electrical energy network. To validate the method a testwas carried out on the IEEE electrical energy network of 57 buses.
Źródło:
Archives of Electrical Engineering; 2019, 68, 3; 535-551
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of minimum energy control on steel loss in VR stepper motor
Autorzy:
Bernat, J.
Kołota, J.
Stępień, S.
Powiązania:
https://bibliotekanauki.pl/articles/141426.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
energy consumption
lamination
finite element method
optimal control
Opis:
This research presents a 3D FE method for the simulation of the variable reluctance stepper motor dynamics. The proposed model is used to obtain the optimal minimum energy control law that minimizes the energy injected by the controller. The method is based on the strong coupling of field - circuit equations and extended to eddy current, motion and nonlinearity problem. The linearization technique for the coupled problem is presented. Also the lamination of the motor core is considered. In the paper the open - loop control problem is analyzed. The proposed model is validated by the comparison with measurements. Next, to demonstrate the effectiveness of the proposed optimal minimum energy control method is applied. In both cases, the examination of the variable reluctance stepper motor dynamics and the steel loss in the core is presented and compared.
Źródło:
Archives of Electrical Engineering; 2013, 62, 3; 439-447
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite time horizon optimal current control of a stepper motor exploiting a finite element model
Autorzy:
Bernat, J.
Stępień, S.
Stranz, A.
Szymański, G.
Sykulski, J. K.
Powiązania:
https://bibliotekanauki.pl/articles/200378.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
optimal control theory
linear quadratic problem
finite element method
teoria sterowania optymalnego
liniowo-kwadratowy problem
metoda elementów skończonych
Opis:
An optimal control theory based method is presented aiming at minimizing the energy delivered from source and the power loss in a stepper motor circuit. A linear quadratic current regulator with an infinite time horizon is employed and its appropriateness for this type of a problem explained. With the purpose of improving the accuracy of the control system, the self and mutual inductances of windings are calculated using a finite element model. The numerically computed results are verified experimentally.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 4; 835-841
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The selection of optimal method determining mechanical properties of coal layers
Wybór optymalnej metody badania właściwości mechanicznych pokładów węgla
Autorzy:
Biały, W.
Powiązania:
https://bibliotekanauki.pl/articles/409775.pdf
Data publikacji:
2011
Wydawca:
STE GROUP
Tematy:
właściwości węgla
analiza
metoda optymalna
coal properties
analysis
optimal method
Opis:
The article presents selected methods and ways of mining resistance as well as mineability index determination with the use of different instruments. The principles of their operation and the way of mining resistance measurement as well as their usefulness in planning of cutting mining machines selection (longwall tumble heading machines) in given mining-geological conditions are discussed. Their advantages and disadvantages are presented and a method presenting actual mode of longwall tumble heading machines' action is proposed. The results obtained with the use of this method should be taken as representative in the selection of cutting mining machines.
W niniejszym opracowaniu scharakteryzowano wybrane metody i sposoby wyznaczania oporów urabiania za pomocą różnych przyrządów. Omówiono zasady ich działania oraz sposób pomiaru oporów urabiania i ich przydatność utylitarną w prognozowaniu doboru maszyn urabiających na zasadzie skrawania (ścianowe kombajny bębnowe) do konkretnych warunków górniczo-geologicznych. Przedstawiono ich zalety oraz wady i wskazano na metodę która w najlepszy sposób oddaje ich charakter pracy a tym samym uzyskane tą metodą wyniki mogą być uznane jako reprezentatywne.
Źródło:
Management Systems in Production Engineering; 2011, 2 (2); 26-30
2299-0461
Pojawia się w:
Management Systems in Production Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zastosowanie metody gradientów sprzężonych w algorytmie sterowania optymalnego wysokością lotu czterowirnikowego bezzałogowego statku powietrznego
Conjugate gradient method for flight altitude optimal control algorithm of a quadrator unmanned aerial vehicle
Autorzy:
Brzozowski, B.
Kowaleczko, G.
Powiązania:
https://bibliotekanauki.pl/articles/213626.pdf
Data publikacji:
2015
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Lotnictwa
Tematy:
sterowanie optymalne
metoda gradientów sprzężonych
quadrotor
BSP
optimal control
conjugate gradient method
UAV
Opis:
Artykuł przedstawia wyniki przeprowadzonych badań teoretycznych dotyczących zastosowania metody gradientów sprzężonych do rozwiązywania problemu sterowania optymalnego wysokością lotu czterowirnikowego bezzałogowego statku powietrznego (BSP). Ze względu na różnice w strategii sterowania mające wpływ na postać minimalizowanego funkcjonału jakości, problem rozdzielono na dwa zagadnienia – zmianę wysokości oraz stabilizację wysokości. Przeprowadzone analizy pozwoliły na określenie wpływu zmian postaci funkcjonału jakości, jego parametrów czasowych oraz współczynników wagowych na wyznaczoną za pomocą metody gradientów sprzężonych optymalną trajektorię stanu i sterowanie czterowirnikowego BSP podczas zmiany wysokości lotu oraz jej stabilizacji.
This paper presents results of studies on the usage of conjugate gradient method for solving optimal control problem of flight altitude control of a quadrotor unmanned aerial vehicle (UAV). Due to the differences in the control strategy affecting the character of minimized quality functional, the problem was resolved on two issues: changing the flight altitude and altitude stabilization. Conducted researches allowed to determine the impact of changes in the form of a quality functional as well as of its timing and weighting factors on the designated optimal control and state trajectory of a quadrotor UAV using conjugate gradient method during changing and stabilizing flight altitude.
Źródło:
Prace Instytutu Lotnictwa; 2015, 4 (241); 7-18
0509-6669
2300-5408
Pojawia się w:
Prace Instytutu Lotnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation
Autorzy:
Campos Pinto, M.
Powiązania:
https://bibliotekanauki.pl/articles/929689.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda Lagrangiana
oszacowanie błędu
szybkość zbieżności
fully adaptive scheme
semi-Lagrangian method
Vlasov-Poisson equation
error estimate
convergence rates
optimal transport of adaptive multiscale meshes
Opis:
This article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)- dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis are also given, which yield the first error estimate for an adaptive scheme in the context of the Vlasov equation. This article focuses on a key feature of our method, which is a new algorithm to transport multiscale meshes along a smooth flow, in a way that can be said optimal in the sense that it satisfies both accuracy and complexity estimates which are likely to lead to optimal convergence rates for the whole numerical scheme. From the regularity analysis of the numerical solution and how it gets transported by the numerical flow, it is shown that the accuracy of our scheme is monitored by a prescribed tolerance parameter \epsilon which represents the local interpolation error at each time step. As a consequence, the numerical solutions are proved to converge in L\infty towards the exact ones as \epsilon and \delta t tend to zero, and in addition to the numerical tests presented in (Campos Pinto and Mehrenberger, 2007), some complexity bounds are established which are likely to prove the optimality of the meshes.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 351-359
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Development the methods of optimum placement undirected planar objects with piecewise non-linear boundaries in the multiply area
Autorzy:
Chaplya, Yu.
Sobol, O.
Powiązania:
https://bibliotekanauki.pl/articles/411345.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
optimal placement
object with piecewise linear boundary
multiply area
mathematical model
branch and bound method
method of simulated annealing
Opis:
In this paper the statement of the problem is formulated and the mathematical model of optimization the placement of the undirected planar geometrical objects with piecewise non-linear boundaries in the multiply area is developed. It is shown the geometrical interpretation and derived the estimate of the number of restrictions in the model. On the basis of a mathematical model for finding the global extremum of the objective function was proposed modified method of branches and boundaries. It is also shown the solutions tree that takes into account the problems of optimal placement of undirected planar geometrical object with piecewise nonlinear boundaries in the multiply area, and received the complexity of this method. For locally optimal solutions of the problem modified simulated annealing method has been developed. Thus the analytical expressions for the function of energy system were received, the function, that describes the decrease of temperature over time, function that forms a new state of system. The method of formation the new state of the system was investigated in more detail, which is based on a random permutation of numbers the pair of the objects, it is also based on a consistent placement of objects according to reshuffle their numbers and determining the probability of transition to a new state. It is shown the example of determining permissible points of placement the local coordinate system of the specific geometrical object. The conclusion is that to solve practical optimization problems of placement of the undirected planar geometrical objects with piecewise non-linear boundaries in the multiply area should be used the modified simulated annealing method.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 2; 39-44
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate gradient projection method with general Runge-Kutta schemes and piecewise polynomial controls for optimal control problems
Autorzy:
Chryssoverghi, I.
Powiązania:
https://bibliotekanauki.pl/articles/970094.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
dyskretyzacja
sterowanie optymalne
optimal control
gradient projection method
discretization
non-matching Runge-Kutta schemes
piecewise polynomial controls
Opis:
This paper addresses the numerical solution of optimal control problems for systems described by ordinary differential equations with control constraints. The state equation is discretized by a general explicit Runge-Kutta scheme and the controls are approximated by functions that are piecewise polynomial, but not necessarily continuous. We then propose an approximate gradient projection method that constructs sequences of discrete controls and progressively refines the discretization. Instead of using the exact discrete cost derivative, which usually requires tedious calculations, we use here an approximate derivative of the cost functional denned by discretizing the continuous adjoint equation by the same Runge-Kutta scheme backward and the integral involved by a Newton-Cotes integration rule, both involving maximal order intermediate approximations. The main result is that strong accumulation points in L2, if they exist, of sequences generated by this method satisfy the weak necessary conditions for optimality for the continuous problem. In the unconstrained case and under additional assumptions, we prove strong convergence in L2 and derive an a posteriori error estimate. Finally, numerical examples are given.
Źródło:
Control and Cybernetics; 2005, 34, 2; 425-451
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate relaxed descent method for optimal control problems
Autorzy:
Chryssoverghi, I.
Coletsos, J.
Kokkinis, B.
Powiązania:
https://bibliotekanauki.pl/articles/206679.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
dyskretyzacja
kontrola relaksacyjna
sterowanie optymalne
descent method
discretization
optimal control
relaxed controls
Opis:
We consider an optimal control problem for systems governed by ordinary differential equations with control constraints. Since no convexity assumptions are made on the data, the problem is reformulated in relaxed form. The relaxed state equation is discretized by the implicit trapezoidal scheme and the relaxed controls are approximated by piecewise constant relaxed controls. We then propose a combined descent and discretization method that generates sequences of discrete relaxed controls and progressively refines the discretization. Since here the adjoint of the discrete state equation is not defined, we use, at each iteration, an approximate derivative of the cost functional defined by discretizing the continuous adjoint equation and the integral involved by appropriate trapezoidal schemes. It is proved that accumulation points of sequences constructed by this method satisfy the strong relaxed necessary conditions for optimality for the continuous problem. Finally, the computed relaxed controls can be easily approximated by piecewise constant classical controls.
Źródło:
Control and Cybernetics; 2001, 30, 4; 385-404
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete relaxed method for semilinear parabolic optimal control problem
Autorzy:
Chryssoverghi, I.
Coletsos, J.
Kokkinis, B.
Powiązania:
https://bibliotekanauki.pl/articles/205973.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne
accumulation points
discrete optimisation method
discretization
distributed control
minimum principle
optimal control
parabolic equations
partial differential equations
penalty method
relaxed control
semilinear parabolic system
Opis:
We consider an optimal control problem for systems governed by semilinear parabolic partial differential equations with control and state constraints, without any convexity assumptions. A discrete optimization method is proposed to solve this problem in its relaxed form which combines a penalized Armijo type method with a finite element discretization and constructs sequences of discrete Gamkrelidze relaxed controls. Under appropriate assumptions, we prove that accumulation points of these sequences satisfy the relaxed Pontryagin necessary conditions for optimality. Moreover, we show that the Gamkrelidze controls thus generated can be replaced by simulating piecewise constant classical controls.
Źródło:
Control and Cybernetics; 1999, 28, 2; 157-176
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer Simulation of the Impact of Optimization of Width in the Helical Cylindrical Gear on Bearing and Durability Part 1. Height Correction of the Gear Profile
Autorzy:
Czerniec, Myron
Powiązania:
https://bibliotekanauki.pl/articles/103325.pdf
Data publikacji:
2019
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
block calculation method
helical cylindrical gear
height correction of engagement
optimal gear width
maximum contact pressures
tooth wear
gear durability
metoda obliczania bloku
śrubowe koło walcowe
korekta wysokości sprzężenia
optymalna szerokość koła zębatego
maksymalne naciski kontaktowe
zużycie zębów
trwałość koła zębatego
Opis:
Based on the elaborated calculation method he authors method for determining the wear and durability of gears was employed to measure the maximum contact pressures, linear wear of teeth and durability of the gear with height correction of the profile. The optimal condition width in involute helical gears is indicated ensuring constant length of the line of contact between the meshing gears. As a result, it was possible to determine variations in the parameters for the optimized gear describing the meshing gears at different values of the profile correction coefficients.
Źródło:
Advances in Science and Technology. Research Journal; 2019, 13, 1; 52-59
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer Simulation of the Impact of Optimization of Width in the Helical Cylindrical Gear on Bearing and Durability. Part 2. Angular Correction of the Gear Profile
Autorzy:
Czerniec, Myron
Powiązania:
https://bibliotekanauki.pl/articles/102252.pdf
Data publikacji:
2019
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
block calculation method
cylindrical helical gear
angular correction of engagement
optimal gear width
maximum contact pressures
tooth wear
gear durability
metoda obliczania bloku
walcowe koła zębate
korekcja kątowa sprzężenia
optymalna szerokość koła zębatego
maksymalne naciski kontaktowe
zużycie zębów
trwałość kół
Opis:
On the basis of the elaborated calculation method, the optimal width in involute helical gears was determined ensuring a constant length of the line of contact between the meshing gears that is based on the novel method for determining the wear and durability of the gears which was employed to measure the maximum contact pressures, linear wear of teeth and durability of the gear with angular correction of the profile. It was possible to determine the variations in the parameters for the optimized gear describing the meshing gears at different values of the profile correction coefficients.
Źródło:
Advances in Science and Technology. Research Journal; 2019, 13, 2; 1-6
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sufficient condition for existence of constantly nondominated trajectories in linear time-invariant systems
Warunek wystarczający istnienia stale niezdominowanej trajektorii w liniowym stacjonarnym systemie dynamicznym
Autorzy:
Domka, M.
Powiązania:
https://bibliotekanauki.pl/articles/282140.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
multi-criteria optimal control
attainable set
reachable set
supporting hyperplane method
wielokryterialne sterowania optymalne
zbiór osiągalny
metoda hiperpłaszczyzn podpierających
Opis:
This paper considers the multi-criteria optimal control problem in linear time-invariant systems with a single bounded input. It has been proven that, under certain assumptions, a state trajectory is non-dominated throughout the whole control process if and only if it is yielded by a control signal that belongs to a particular class of bang-bang functions. Furthermore, an explicit formula relating hyperplanes tangent to an attainable set and control switching times is presented.
W artykule rozważono problem wielokryterialnego sterowania optymalnego w liniowym stacjonarnym systemie dynamicznym z jednym wejściem przyjmującym wartości z ograniczonego przedziału. W szczególności udowodniono, że przy spełnieniu określonych założeń trajektoria stanu jest niezdominowana w trakcie całego procesu sterowania wtedy i tylko wtedy, gdy jest generowana przez sterowanie należące do pewnej klasy sygnałów typu bang-bang. Ponadto został przedstawiony wzór pozwalający wyrazić hiperpłaszczyznę styczną do zbioru osiągalnego w funkcji czasów przełączeń sygnału sterującego.
Źródło:
Automatyka / Automatics; 2018, 22, 1; 7-22
1429-3447
2353-0952
Pojawia się w:
Automatyka / Automatics
Dostawca treści:
Biblioteka Nauki
Artykuł
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