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Tytuł:
Stochastic diffrential equations on Banach spaces and their optimal feedback control
Autorzy:
Ahmed, N.U.
Powiązania:
https://bibliotekanauki.pl/articles/952179.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
stochastic differential equations
Banach spaces
optimal feedback control
objective functionals
Lévy-Prohorov metric
Hausdorff dimension
time-optimal problems
Opis:
In this paper we consider stochastic differential equations on Banach spaces (not Hilbert). The system is semilinear and the principal operator generating a C₀-semigroup is perturbed by a class of bounded linear operators considered as feedback operators from an admissible set. We consider the corresponding family of measure valued functions and present sufficient conditions for weak compactness. Then we consider applications of this result to several interesting optimal feedback control problems. We present results on existence of optimal feedback operators.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2012, 32, 1; 87-109
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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
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:
Passivity-based optimal control of discrete-time nonlinear systems
Autorzy:
Binazadeh, T.
Shafiei, M. H.
Powiązania:
https://bibliotekanauki.pl/articles/205917.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nonlinear discrete-time systems optimal passivity-based control
genetic optimization algorithm
Opis:
In this paper, a passivity-based optimal controlmethod for a broad class of nonlinear discrete-time systems is proposed. The resulting control law is a static output feedback law which is practically preferred with respect to the state feedback law and is simple to implement. The control law has a general structure with adjustable parameters which are tuned, using an optimization method (genetic algorithm), to minimize an arbitrary cost function. By choosing this cost function it is possible to shape the transient response of the closed-loop system, as it is desirable. An illustrative ex ample shows the effectiveness of the proposed approach.
Źródło:
Control and Cybernetics; 2013, 42, 3; 627-637
0324-8569
Pojawia się w:
Control and Cybernetics
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:
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:
On the discrete time-varying JLQG problem
Autorzy:
Czornik, A.
Świerniak, A.
Powiązania:
https://bibliotekanauki.pl/articles/907993.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
jump linear systems
optimal control
time-varying systems
coupled Riccati equations
Opis:
In the present paper optimal time-invariant state feedback controllers are designed for a class of discrete time-varying control systems with Markov jumping parameter and quadratic performance index. We assume that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Moreover, following the same line of reasoning, an adaptive controller is proposed in the case when system parameters are unknown but their strongly consistent estimators are available.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 203-207
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Czasooptymalny odporny algorytm sterowania serwonapędu elektrycznego
The time-optimal robust control algorithm of electric servodrive
Autorzy:
Drabek, T.
Powiązania:
https://bibliotekanauki.pl/articles/320241.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
serwonapęd
sterowanie odporne
sterowanie czasooptymalne
servodrive
robust control
time-optimal control
Opis:
W artykule przedstawiono stosunkowo prosty aplikacyjnie algorytm sterowania serwosilnika elektrycznego DC, mający zapewnić jego sterowanei czasooptymalne w sytuacji zmian momentu zewnętrznego (obciążenia) i momentu bezwładności całego napędu. Działanie algorytmu zaprezentowano w porównaniu z ogólnie znanym kaskadowym algorytmem regulacji kąta położenia serwosilnika. Działanie obu algorytmów porównawczo przebadano symulacyjnie w pakiecie MATLAB/Simulink.
This paper shows ąuite simple to apply algorithm of DC/DC brushless servodrive (actuator) control. The algorithm should guarantee time-optimal control while load disturbance and moment of inertia variations. Working of this algorithm is presented in comparison with working of well known cascade algorithm of DC servomotor control. Working of both algorithms was compared by MATLAB/Simulink simulations.
Źródło:
Elektrotechnika i Elektronika; 2007, 26, 1--2; 14-22
1640-7202
Pojawia się w:
Elektrotechnika i Elektronika
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:
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:
Analytic Interpolation and the Degree Constraint
Autorzy:
Georgiou, T. T.
Powiązania:
https://bibliotekanauki.pl/articles/908329.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interpolacja analityczna
szereg czasowy
analytic interpolation
uniformly optimal control
spectral analysis of time-series
Opis:
Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to make an overview of recent developments on the subject as well as to highlight an application of the theory.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 271-279
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of a Laboratory DC Servo Motor
Optymalne sterowanie laboratoryjnym serwomechanizmem z silnikiem prądu stałego
Autorzy:
Gorczyca, P.
Hajduk, K.
Kołek, K.
Powiązania:
https://bibliotekanauki.pl/articles/274587.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
sterowanie optymalne
serwomechanizm
metoda MSE
sterowanie czasooptymalne
optimal control
DC servo
MSE method
time optimal control
Opis:
Position control of DC motor is discussed and two control problems are investigated: first, time optimal and second, optimal in the sense of a quadratic performance index. Simple mathematical models, linear and nonlinear, of the DC motor are introduced. In the presented approach, the nonlinear model contains only the nonlinearity of static characteristic. Controllers based on linear and nonlinear models are constructed for both control problems. For the nonlinear model optimal solutions are computed with the use of the MSE method. Comparison of results of real-time and simulation experiments are presented.
W pracy przedyskutowano dwa problemy sterowania pozycyjnego serwomechanizmem z silnikiem prądu stałego: problem czasooptymalny oraz sterowanie optymalne w sensie kwadratowego wskaźnika jakości. Przedstawiono proste modele matematyczne: liniowy i nieliniowy. W nieliniowym modelu uwzględniono jedynie nieliniową charakterystykę statyczną silnika. Dla obydwu problemów zaprojektowano regulatory wykorzystując modele liniowy i nieliniowy. Optymalne sterowanie dla modelu nieliniowego obliczono za pomocą metody MSE. Przedstawiono porównanie eksperymentów symulacyjnych i eksperymentów czasu rzeczywistego.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 12; 129-134
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimax decisions in some problems of control with many sources of disturbances
Autorzy:
Grzybowski, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/747681.pdf
Data publikacji:
1989
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Optimal stochastic control
Discrete-time systems
Opis:
.
In the paper, a stochastic system with many sources of disturbances is considered. These disturbances have distributions belonging to the exponential family with some unknown parameters. Moreover, it is assumed that a control is disturbed too. A horizon of control is a random variable with a known distribution. Under some additional assumptions the problem of Bayes and minimax control of such system is solved.
Źródło:
Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-parametric control : uniform convergence of the optimal value functions of discretized problems
Autorzy:
Gugat, M.
Powiązania:
https://bibliotekanauki.pl/articles/206773.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
ciąg
dyskretyzacja
funkcja celu
optymalizacja parametryczna
profil momentu
systemy sterowania minimalno-czasowe
warunek Hoeldera
warunek Lipschitza
zbieżność jednakowa
continuity
discretization
Hoelder condition
Lipschitz condition
moment problems
optimal value function
parametric optimization
time-minimal control
uniform convergence
Opis:
The problem of time-optimal control of linear hyperbolic systems is equivalent to the computation of the root of the optimal value function of a time-parametric program, whose feasible set is described by a countable system of moment equations. To compute this root, discretized problems with a finite number of equality constraints can be used. In this paper, we show that on a certain time-interval, the optimal value functions of the discretized problems converge uniformly to the optimal value function of the original problem. We also give sufficient conditions fot Lipschitz and Hoelder continuity of the optimal value function of the original problem.
Źródło:
Control and Cybernetics; 1999, 28, 1; 7-33
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 44

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