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Wyszukujesz frazę "state constraints" wg kryterium: Temat

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Wyświetlanie 1-15 z 30
Tytuł:
Stability analysis of relaxed Dirichlet boundary control problems
Autorzy:
Arada, N.
Raymond, J.
Powiązania:
https://bibliotekanauki.pl/articles/206117.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pomiary Younga
relaksacja
sterowanie
control problems
Dirichlet boundary control
pointwise state constraints
relaxation
stability properties
Young measures
Opis:
We study the relaxation by Young measures of a Dirichlet control problem with pointwise state constraints. We give a necessary and sufficient condition for the properness of the relaxation. This condition is expressed in terms of stability properties, for the original control problem, with respect to geometrical perturbations of state constraints.
Źródło:
Control and Cybernetics; 1999, 28, 1; 35-51
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Revisiting the analysis of optimal control problems with several state constraints
Autorzy:
Bonnans, J. F.
Hermant, A.
Powiązania:
https://bibliotekanauki.pl/articles/970908.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
state constraints
shooting algorithm
second order optimality conditions
Opis:
This paper improves the results of and gives shorter proofs for the analysis of state constrained optimal control problems than presented by the authors in Bonnans and Hermant (2009b), concerning second order optimality conditions and the well-posedness of the shooting algorithm. The hypothesis for the second order necessary conditions is weaker, and the main results are obtained without reduction to the normal form used in that reference, and without analysis of high order regularity results for the control. In addition, we provide some numerical illustration. The essential tool is the use of the "alternative optimality system".
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1021-1052
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact penalization of pointwise constraints for optimal control problems
Autorzy:
Casas, E.
Powiązania:
https://bibliotekanauki.pl/articles/970884.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
semilinear elliptic equations
pointwise state constraints
exact penalization
first and second order optimality conditions
Opis:
In this paper we consider a control problem governed by a semilinear elliptic equation with pointwise control and state constraints. We analyze the existence of an exact penalization of the state constraints. In particular, we prove that the first and second order optimality conditions imply the existence of such a penalization. Finally, we prove some extra regularity of the strict local minima of the control problem, assuming the existence of an exact penalization for them.
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1131-1150
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second-order optimality conditions for semilinear elliptic control problems with constraints on the gradient of the state
Autorzy:
Casas, E.
Fernandez, J.
Mateos, M.
Powiązania:
https://bibliotekanauki.pl/articles/206719.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne
optimal control
second order conditions
semilinear elliptic PDE
state gradient constraints
Opis:
The aim of this paper is to state the second order necessary and sufficient optimality conditions for distributed control problems governed by the Neumann problem associated to a semilinear elliptic partial differential equation. Bound constraints ou control are considered, as well as equality and inequality constraints of integral type on the gradient of the state.
Źródło:
Control and Cybernetics; 1999, 28, 3; 463-479
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal sparse boundary control for a semilinear parabolic equation with mixed control-state constraints
Autorzy:
Casas, Eduardo
Troltzsch, Fredi
Powiązania:
https://bibliotekanauki.pl/articles/970122.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
semilinear parabolic equation
optimal control
sparse boundary control
mixed control-state constraints
Opis:
A problem of sparse optimal boundary control for a semilinear parabolic partial differential equation is considered, where pointwise bounds on the control and mixed pointwise control-state constraints are given. A standard quadratic objective functional is to be minimized that includes a Tikhonov regularization term and the L1-norm of the control accounting for the sparsity. Applying a recent linearization theorem, we derive first-order necessary optimality conditions in terms of a variational inequality under linearized mixed control state constraints. Based on this preliminary result, a Lagrange multiplier rule with bounded and measurable multipliers is derived and sparsity results on the optimal control are demonstrated.
Źródło:
Control and Cybernetics; 2019, 48, 1; 89-124
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the development of Pontryagins Maximum Principle in the works of A.Ya. Dubovitskii and A.A. Milyutin
Autorzy:
Dmitruk, A. V.
Powiązania:
https://bibliotekanauki.pl/articles/970915.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Euler-Lagrange equation
maximum principle
classes of variations
Pontryagin minimum
state constraints
measure in adjoint equation
regular and nonregular mixed constraints
phase points
closure with respect to measure
three-storey theorem
Opis:
We give a short review of the development and generalizations of the Pontryagin Maximum Principle, provided in the studies of Dubovitskii and Milyutin in the 1960s and later years.
Źródło:
Control and Cybernetics; 2009, 38, 4A; 923-957
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
H-infinity control of discrete-time linear systems constrained in state by equality constraints
Autorzy:
Filasová, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/330125.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ dyskretny
liniowa nierówność macierzowa
sprzężenie zwrotne
algorytm sterowania
układ singularny
equality constraints
discrete time systems
linear matrix inequality
state feedback
control algorithms
quadratic stability
singular systems
Opis:
In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Observer state feedback control of discrete-time systems with state equality constraints
Autorzy:
Filasova, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229818.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
equality constraints
eigenstructure assignment
state feedback
Opis:
Design conditions for existence of observer-based memory-less feedback control for stabilization of discrete-time systems with equality constraints given on the state variables are presented in the paper. These conditions are associated with eigenstructure assignment based on the singular value decomposition principle. The validity of the proposed method is demonstrated by a numerical example with the equality constraint tying together all state variables.
Źródło:
Archives of Control Sciences; 2010, 20, 3; 253-266
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Normality of the maximum principle for absolutely continuous solutions to Bolza problems under state constraints
Autorzy:
Frankowska, H.
Powiązania:
https://bibliotekanauki.pl/articles/970777.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
maximum principle under state constraints
normal necessary conditions
Opis:
It is well known that for a Bolza optimal control problem under state constraints every local minimizer satisfies a constrained maximum principle which may be degenerate. In the recent years several researchers proposed sufficient conditions for its nondegeneracy, e.g. Arutyanov and Assev (1997), Rampazzo and Vinter (1999, 2000), Galbraith and Vinter (2003). In all these papers the most important assumption links dynamics of a control system with tangent cones to constraints. It is the so called inward pointing condition of control theory that is in the same spirit with the well known Slater and Managasarian-Fromowitz conditions of mathematical programming. We propose here two sufficient conditions for normality when the boundary of constraints is C1 and the end point is free. The first one applies to every nondegenerate maximum principle without any assumptions on the initial state. The second one applies to every maximum principle, but involves an additional assumption on the initial conditions.
Źródło:
Control and Cybernetics; 2009, 38, 4B; 1327-1340
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sequential optimization for semilinear divergent hyperbolic equation with a boundary control and state inequality constraint
Autorzy:
Gavrilov, V. S.
Sumin, M. I.
Powiązania:
https://bibliotekanauki.pl/articles/206311.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Radon measures
sequential optimization
maximum principle for minimizing sequences
semilinear hyperbolic partial differential equations
pointwise in time state constraints
boundary control
value function
sensitivity
normality
regularity
twoparameter needle variation of controls
Opis:
An optimal control problem with a state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind is considered. The state constraint contains a functional parameter that belongs to the class of continuous functions and occurs as an additive term. We study the properties of solutions of linear hyperbolic equations in divergence form with measures in the original data and compute the first variations of functionals on the basis of a so-called two-parameter needle variation of controls. We consider the necessary conditions for minimizing sequences in an optimal control problem with a pointwise in time state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function.
Źródło:
Control and Cybernetics; 2014, 43, 2; 183-226
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints
Autorzy:
Griesse, R.
Metla, N.
Rosch, A.
Powiązania:
https://bibliotekanauki.pl/articles/969868.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
sequential quadratic programming
mixed control-state constraints
implicit function theorem
generalized equation
Opis:
Semilinear elliptic optimal control problems with pointwise control and mixed control-state constraints are considered. Necessary and sufficient optimality conditions are given. The equivalence of the SQP method and Newton's method for a generalized equation is discussed. Local quadratic convergence of the SQP method is proved.
Źródło:
Control and Cybernetics; 2010, 39, 3; 717-738
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control error dynamic modification as an efficient tool for reduction of effects introduced by actuator constraints
Autorzy:
Janiszowski, K. B.
Powiązania:
https://bibliotekanauki.pl/articles/907663.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie cyfrowe
regulacja PID
wind-up
actuator constraints
digital dead-beat control
PID control
rate constraints
state-space control
saturations at control
Opis:
A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator output is presented and investigated for some algorithms used in single-loop control systems. This idea, derived from virtual modification of a control error, can be used in digital control systems subjected to both magnitude and rate constraints. The modification is introduced in the form of on-line adaptation to the control task. Hence the design of optimal (in a specified sense) digital controller parameters can be separated from actuator constraints. The adaptation of the control algorithm (to actuator constraints) is performed by the transformation of the control error and is equivalent to the introduction of a new, virtual reference value for the control system. An application of this approach is presented through examples of three digital control algorithms: the PID algorithm, the dead-beat controller and the state space controller. In all cases, clear advantages of transients are observed, which yields some general conclusions to the problem of processing actuator constraints in control.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 271-279
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The problem of state constraints in designing the discrete time sliding mode controller
Ograniczenie zmiennych stanu w dyskretnym sterowaniu ślizgowym
Autorzy:
Jaskuła, M.
Pietrala, M.
Leśniewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/275946.pdf
Data publikacji:
2017
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
variable structure system
sliding mode control
discrete-time systems
state constraints
reaching law
sterowanie o zmiennej strukturze
sterowanie ślizgowe
układy czasu dyskretnego
ograniczenia zmiennych stanu
reguła osiągania ruchu ślizgowego
Opis:
In this paper we study the problem of state constraints in discrete time sliding mode control. We present a sufficient condition for the strategy that drives the representative point monotonically to the sliding hyperplane in finite time. The advantage of this strategy is that disturbances do not have to fulfill the matching conditions. Our approach is based on the so-called reaching law technique.
W artykule przeanalizowany został problem ograniczenia zmiennych stanu w dyskretnym sterowaniu ślizgowym. Do zaprojektowania regulatora zastosowano regułę osiągania ruchu ślizgowego. Zaprezentowano warunek dostateczny na monotoniczną zbieżność stanu obiektu do płaszczyzny ślizgowej w skończonym czasie. Zaletą przedstawionej metody jest to, że zakłócenia nie muszą spełniać warunków dopasowania.
Źródło:
Pomiary Automatyka Robotyka; 2017, 21, 4; 15-22
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive, nonlinear state transformation-based control of motion in presence of hard constraints
Autorzy:
Kabziński, J.
Mosiołek, P.
Powiązania:
https://bibliotekanauki.pl/articles/201256.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
motion control
nonlinear control
adaptive control
state constraints
Opis:
The paper describes a nonlinear controller design technique applied to a servo drive in the presence of hard state constraints. The approach presented is based on nonlinear state-space transformation and adaptive backstepping. It allows us to impose hard constraints on the state variables directly and to achieve asymptotic tracking of any reference trajectory inside the constraints, despite unknown plant parameters. Two control schemes (with and without integral action) are derived, investigated and then compared. Several examples demonstrate the main features of the design procedure and prove that it may be applied in case of motion control problems in electric drive automation.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 5; 963--971
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matlab implementation of direct and indirect shooting methods to solve an optimal control problem with state constraints
Autorzy:
Karbowski, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/1837359.pdf
Data publikacji:
2021
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
optimal control
numerical methods
state constraints
shooting method
multiple shooting method
boundary value problem
MATLAB
Opis:
The paper presents a general procedure to solve nume‐ rically optimal control problems with state constraints. It is used in the case, when the simple time discretization of the state equations and expressing the optimal cont‐ rol problem as a nonlinear mathematical programming problem is too coarse. It is based on using in turn two multiple shooting BVP approaches: direct and indirect. The paper is supplementary to the earlier author’s paper on direct and indirect shooting methods, presenting the theory underlying both approaches. The same example is considered here and brought to an end, that is two full listings of two MATLAB codes are shown.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2021, 15, 1; 43-50
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 30

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