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Wyszukujesz frazę "time-optimal control" wg kryterium: Temat


Wyświetlanie 1-9 z 9
Tytuł:
An iterative method for time optimal control of dynamic systems
Autorzy:
Kashiri, N.
Ghasemi, M. H.
Dardel, M.
Powiązania:
https://bibliotekanauki.pl/articles/229435.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dynamic systems
optimal control
time optimal control
bounded control inputs
Opis:
An iterative method for time optimal control of a general type of dynamic systems is proposed, subject to limited control inputs. This method uses the indirect solution of open-loop optimal control problem. The necessary conditions for optimality are derived from Pontryagin's minimum principle and the obtained equations lead to a nonlinear two point boundary value problem (TPBVP). Since there are many difficulties in finding the switching points and in solving the resulted TPBVP, a simple iterative method based on solving the minimum energy solution is proposed. The method does not need finding the switching point so that the resulted TPBVP can be solved by usual algorithms such as shooting and collocation. Also, since the solution of TPBVPs is sensitive to initial guess, a short procedure for making the proper initial guess is introduced. To this end, the accuracy and efficiency of the proposed method is demonstrated using time optimal solution of some systems: harmonic oscillator, robotic arm, double spring-mass problem with coulomb friction and F-8 aircraft.
Źródło:
Archives of Control Sciences; 2011, 21, 1; 5-23
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time optimal control of one and double one winding VCM motor
Autorzy:
Kołton, W.
Powiązania:
https://bibliotekanauki.pl/articles/141568.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time optimal control
VCM motor
mass storage devices
Opis:
This article presents the time optimal control system adopted to control double winding VCM motor. This kind of control is widely used in hard disk drive servo for head positioning. Mathematical model of double winding VCM motor is presented, and its implementation in MATLAB/Simulink is shown. The extended time optimal control algorithm is implemented on dSpace DS1104 board. The results obtained from simulation and real measurements are compared and discussed.
Źródło:
Archives of Electrical Engineering; 2013, 62, 4; 663-675
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
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:
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:
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
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:
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:
Utilization mathematical and physical models derived therefrom real-time models for the optimization of heating processes
Wykorzystanie matematycznych i fizycznych modeli niedziałających w czasie rzeczywistym do optymalizacji procesu nagrzewania
Autorzy:
Špička, I.
Heger, M.
Powiązania:
https://bibliotekanauki.pl/articles/357018.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
heating process
mathematical and physical model
real time control
optimal control
proces ogrzewania
model matematyczny i fizyczny
kontrola czasu rzeczywistego
kontrola optymalna
Opis:
Heating of materials is energy and costly operations. On those reasons optimization is highly desirable. One of the possible solutions to optimize heating in real time is to use a large number of fast simulations on the basis of them the optimization algorithms have chosen the most appropriate option of the heating control. This solution implies the use of extremely fast but sufficiently accurate simplified mathematical models of heating, the structure and parameters of them are defined based on accurate modelling using computationally intensive but slower classical mathematical-physical models. Based on the operating data of the reheating furnace was build an accurate model of heating. Using the simplified model simulation of heating was done with different heating conditions with downtime during heating. Proposed algorithms including the simulations show that the proposed strategy leads to verifiable savings during heating.
Nagrzewanie materiałów jest procesem energochłonnym i kosztowny. Dlatego optymalizacja tych procesów jest bardzo pożądana. Jednym z rozwiązań umożliwiających optymalizacje nagrzewania w czasie rzeczywistym jest przeprowadzenie dużej liczby szybkich symulacji, na podstawie których algorytmy optymalizacji wybierały najodpowiedniejszą wersję sterowania nagrzewaniem. Rozwiązanie takie zakłada stosowanie niezwykle szybkich ale wystarczająco dokładnych uproszczonych matematycznych modeli nagrzewania, których struktura i parametry określane są na podstawie dokładnych, ale wolno działających klasycznych modeli matematyczno-fizycznych. Na podstawie danych eksploatacyjnych pieca grzewczego zbudowano model dokładny, a następnie korzystając z jego wersji uproszczonych przeprowadzono symulacje dla różnych warunków nagrzewania uwzględniając przestoje w trakcie nagrzewania. Zaproponowane algorytmy wraz z wynikami symulacji pokazują, że proponowane podejście prowadzi do znaczących oszczędności w trakcie nagrzewania.
Źródło:
Archives of Metallurgy and Materials; 2013, 58, 3; 981-985
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control problem for infinite variables hyperbolic systems with time lags
Autorzy:
Bahaa, G. M.
Tharwat, M. M.
Powiązania:
https://bibliotekanauki.pl/articles/229952.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
optimal control
hyperbolic system
time delay
distributed control problems
Neumann conditions
existence and uniqueness of solutions
second order operator with an infinite number of variables
Opis:
In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.
Źródło:
Archives of Control Sciences; 2011, 21, 4; 373-393
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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