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Wyświetlanie 1-15 z 44
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:
Extremal problems for second order hyperbolic systems involving multiple time delays
Autorzy:
Kowalewski, Adam
Powiązania:
https://bibliotekanauki.pl/articles/27312006.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
optimal control theory
boundary control
second order hyperbolic systems
multiple time delays
electric long lines
Opis:
Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in the Neumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 101--126
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite-time SDRE control of F16 aircraft dynamics
Autorzy:
Chodnicki, Marcin
Pietruszewski, Paweł
Wesołowski, Mariusz
Stępień, Sławomir
Powiązania:
https://bibliotekanauki.pl/articles/2175113.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
aircraft modelling
state-dependent Riccati equations
finite-time optimal control
Opis:
This paper proposes a finite-time horizon suboptimal control strategy based on state-dependent Riccati equation (SDRE) to control of F16 multirole aircraft. Flight stabilizer control of super maneuverable aircraft is modelled and simulated. For aircraft modelling purpose a full 6 DOF model is considered and described by nonlinear state-space approach. Also a stable state-dependent parametrization (SDP) necessary for solution of the SDRE control problem is proposed. Solution of the SDRE control problem with adequate defined weighting matrices in performance index shows possibility of fast and optimal aircraft control in finite-time. The method in this form can be used for stabilization of aircraft flight and aerodynamics.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 557--576
1230-2384
Pojawia się w:
Archives of Control Sciences
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:
On optimal control problem subject to fractional order discrete time singular systems
Autorzy:
Chiranjeevi, Tirumalasetty
Biswas, Raj Kumar
Devarapalli, Ramesh
Babu, Naladi Ram
García Márquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2083465.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional optimal control problem
discrete time singular system
fractional derivative
Hamiltonian technique
Opis:
In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.
Źródło:
Archives of Control Sciences; 2021, 31, 4; 849-863
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions
Autorzy:
Krug, Richard
Leugering, Günter
Martin, Alexander
Schmidt, Martin
Weninger, Dieter
Powiązania:
https://bibliotekanauki.pl/articles/2183473.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
time-domain decomposition
optimal control
semilinear hyperbolic systems
convergence
Opis:
In this article, we study the time-domain decomposition of optimal control problems for systems of semilinear hyperbolic equations and provide an in-depth well-posedness analysis. This is a continuation of our work, Krug et al. (2021) in that we now consider mixed two-point boundary value problems. The more general boundary conditions significantly enlarge the scope of applications, e.g., to hyperbolic problems on metric graphs with cycles. We design an iterative method based on the optimality systems that can be interpreted as a decomposition method for the original optimal control problem into virtual control problems on smaller time domains.
Źródło:
Control and Cybernetics; 2021, 50, 4; 427--455
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spacecraft attitude fault tolerant control based on multi-objective optimization
Autorzy:
Moradi, Rouzbeh
Alikhani, Alireza
Fathi Jegarkandi, Mohsen
Powiązania:
https://bibliotekanauki.pl/articles/1839618.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
active fault-tolerant control
spacecraft attitude control
finite time convergence
Pareto-optimal set
Opis:
An active fault tolerant controller is designed for the attitude control of a faulty spacecraft. Feedback linearization and Lyapunov’s direct method are used to solve angular velocity equations and to ensure convergence of the system outputs to reference inputs, respectively. In order to ensure finite time convergence, final time constraints are proposed. Three con- structive objective functions are considered as performance measures and optimized using multi-objective optimization. The results show that the outputs converge to the reference attitudes, even for severe actuator faults/failures.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 4; 983-996
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimizing the time spent in an interval by a Wiener process with uniform jumps
Autorzy:
Lefebvre, Mario
Powiązania:
https://bibliotekanauki.pl/articles/1839133.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Brownian motion
Poisson process
first-passage time
optimal stochastic control
integro-differential equation
Opis:
Let Xu(t) be a controlled Wiener process with jumps that are uniformly distributed over the interval [−c, c]. The aim is to minimize the time spent by Xu(t) in the interval [a, b]. The integro- differential equation, satisfied by the value function, is transformed into an ordinary differential equation and is solved explicitly for a particular case. The approximate solution obtained is precise when c is small.
Źródło:
Control and Cybernetics; 2019, 48, 3; 407-415
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The LQG homing problem for a Wiener process with random infinitesimal parameters
Autorzy:
Lefebvre, Mario
Moutassim, Abderrazak
Powiązania:
https://bibliotekanauki.pl/articles/229262.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stochastic optimal control
first-passage time
dynamic programming
Brownian motion
Opis:
The problem of optimally controlling a Wiener process until it leaves an interval (a, b) for the first time is considered in the case when the infinitesimal parameters of the process are random. When a = -∞, the exact optimal control is derived by solving the appropriate system of differential equations, whereas a very precise approximate solution in the form of a polynomial is obtained in the two-barrier case.
Źródło:
Archives of Control Sciences; 2019, 29, 3; 413-422
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal laws of gear shift in automotive transmissions
Autorzy:
Hashchuk, P.
Pelo, R.
Powiązania:
https://bibliotekanauki.pl/articles/411074.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
automobile
transmission
gear shift
optimal law
transmission excellence
control algorithms
optimality criterions
time acceleration
fuel consumption
Opis:
In the article the influence of the moment of beginning of shifting gears on the efficiency of acceleration of the vehicle has been evaluated – on the fuel consumption at a given level of dynamism of the car. Different programs of switching gear at different values of the length of the friction trailing have been studied. Arguments are made in favor of the fact that the gearshift processes should not be too fast and that the work of friction trailing is not decisive in view of the need to increase the energy efficiency of the car. It is emphasized that between the laws of gear shifting, which are optimal considering the fuel economy, which, having in mind the dynamism, there are no fundamental differences. On the basis of the information obtained, it is concluded that the real variety of transmissions is unreasonably excessive and even harmful, since optimality is usually monotonous.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2018, 7, 2; 59-69
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kinematically optimal robust control of redundant manipulators
Autorzy:
Galicki, M.
Powiązania:
https://bibliotekanauki.pl/articles/266099.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
redundant robotic manipulator
task space trajectory tracking
robust optimal finite-time control
Lyapunov stability
manipulator
przestrzeń robocza manipulatora
Stabilność Lapunowa
Opis:
This work deals with the problem of the robust optimal task space trajectory tracking subject to finite-time convergence. Kinematic and dynamic equations of a redundant manipulator are assumed to be uncertain. Moreover, globally unbounded disturbances are allowed to act on the manipulator when tracking the trajectory by the endeffector. Furthermore, the movement is to be accomplished in such a way as to minimize both the manipulator torques and their oscillations thus eliminating the potential robot vibrations. Based on suitably defined task space non-singular terminal sliding vector variable and the Lyapunov stability theory, we derive a class of chattering-free robust kinematically optimal controllers, based on the estimation of transpose Jacobian, which seem to be effective in counteracting both uncertain kinematics and dynamics, unbounded disturbances and (possible) kinematic and/or algorithmic singularities met on the robot trajectory. The numerical simulations carried out for a redundant manipulator of a SCARA type consisting of the three revolute kinematic pairs and operating in a two-dimensional task space, illustrate performance of the proposed controllers as well as comparisons with other well known control schemes.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 4; 839-865
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A computational scheme for decentralized time-optimal resource allocation in a sequence of projects of activities under constrained resource
Autorzy:
Stankiewicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/411126.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
project of activities
resource allocation
time-optimal control
dynamical system
decentralized control
Opis:
We consider a sequence of projects of independent activities; each project composed of activities available for realization at the same time. It is assumed that the activities are continuous dynamical systems whose dynamics depend continuously on the allotted amounts of the resource, and the initial and terminal states are fixed. The problem is to allocate a renewable, continuously divisible resource (e.g., power, fuel flow, money per time unit, approximate manpower) to the activities in order to minimize the performance time of the sequence of projects under the assumption that the allowable level of the total usage of the resource is constant. Although the solution to this problem is known in the literature, nevertheless there is a lack of effective computational algorithms for the time-optimal resource allocation, especially in the case of really large projects. In this paper a decentralized two-level control scheme using the time-decomposition is proposed to find the time-optimal resource allocation in a sequence of projects. The price mechanism is applied to coordinate the lower level tasks of the optimal resource allocation in the successive time intervals determined by the moments at which the successive projects are available for realization. Necessary and sufficient conditions to ensure the determination of the optimal resource allocation according to the method proposed are stated. The problems connected with the numerical realization of the scheme are discussed and the resulting computer algorithm is outlined.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 3; 83-94
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ELEMENTS OF CONTROL THEORY APPLIED TO AN INVESTMENT PORTFOLIO IN THE CAPITAL MARKET. THE OPTIMAL TIME HORIZON FOR SELLING A PORTFOLIO
ELEMENTY TEORII STEROWANIA ZASTOSOWANE DO PORTFELA INWESTYCYJNEGO NA RYNKU KAPITAŁOWYM. OPTYMALNY MOMENT SPRZEDAŻY PORTFELA
Autorzy:
Tymiński, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/659410.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
sterowanie
optymalny moment
sprzedaż portfela
control
optimal time
sale of portfolio
Opis:
W artykule przedstawiono koncepcję sterowania kapitałem w procesach nabycia portfeli inwestycyjnych. Nabywany portfel został zoptymalizowany według dwóch wariantów. Portfel I wyliczony został przy zastosowaniu metody tradycyjnej. Portfel II skonstruowany został z wykorzystaniem elementów teorii niezawodności i metody programowania dynamicznego. Artykuł zawiera również analizę odsprzedaży posiadanego portfela w aspekcie popytu na instrumenty finansowe na rynku kapitałowym oraz wyznaczenie najkorzystniejszego dla inwestora momentu tej transakcji. Przedstawiona koncepcja dotycząca racjonalnych decyzji inwestycyjnych w transakcjach na Giełdzie Papierów Wartościowych w Warszawie może być stosowana przez menedżerów przy określaniu efektywnego portfela instrumentów finansowych
The article presents a concept of capital management for assembling investment portfolios. Two optimization variants of a portfolio to be purchased are discussed. Portfolio I is structural, using the „traditional model”. To assemble Portfolio II, elements of reliability theory and the dynamic programming method were used. The article also analyses the sale of a portfolio with respect to the demand for financial instruments in the capital market. The presented concept dealing with rational investment decisions during transactions at the Warsaw Stock Exchange can also be used by managers to create an effective portfolio of financial instruments.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2015, 1, 310
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links
Autorzy:
Bartoszewicz, A.
Leśniewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/330586.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optimal control
sliding mode control
flow control
discrete-time system
sterowanie optymalne
sterowanie ślizgowe
sterowanie przepływem
układ dyskretny
Opis:
A new discrete-time sliding-mode congestion controller for connection-oriented networks is proposed. Packet losses which may occur during the transmission process are explicitly taken into account. Two control laws are presented, each obtained by minimizing a different cost functional. The first one concentrates on the output variable, whereas in the second one the whole state vector is considered. Weighting factors for adjusting the influence of the control signal and appropriate (state or output) errors are incorporated in both the functionals. The asymptotic stability of the closed-loop system is proved, and the conditions for 100% bottleneck node bandwidth utilization are derived. The performance of the proposed algorithm is verified by computer simulations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 1; 87-97
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed final time and free final state optimal control problem for fractional dynamic systems – linear quadratic discrete-time case
Autorzy:
Dzieliński, A.
Czyronis, P. M.
Powiązania:
https://bibliotekanauki.pl/articles/201358.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order systems
discrete-time systems
optimal control
linear quadratic performance index
Opis:
The optimization problem for fractional discrete-time systems with a quadratic performance index has been formulated and solved. The case of fixed final time and a free final state has been considered. A method for numerical computation of optimization problems has been presented. The presented method is a generalization of the well-known method for discrete-time systems of integer order. The efficiency of the method has been demonstrated on numerical examples and illustrated by graphs. Graphs also show the differences between the fractional and classical (standard) systems theory. Results for other cases of the fractional system order (coefficient ) and not illustrated with numerical examples have been obtained through a computer algorithm written for this purpose.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 3; 681-690
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 44

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