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Tytuł:
Asymptotic behaviour to a heat equation with a delayed control in the source term
Autorzy:
Berrone, L.
Mannucci, P.
Powiązania:
https://bibliotekanauki.pl/articles/970434.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
niejednorodne równanie dyfuzji
ewolucja rozkładu temperatury
sterowanie z opóźnieniem
równanie całkowe Volterry z opóźnieniem
heat equation
delayed control
Volterra integral equation with delay
Opis:
A one dimensional heat equation in a semi-infinite medium controlled through a heat source depending on the delayed heat flux at the extremum is studied. By reducing the problem to a delayed Volterra integral equation with a weakly singular kernel, we find conditions on the initial datum and on the source term of the equation to control the asymptotic behaviour of the mean temperatures.
Źródło:
Control and Cybernetics; 2004, 33, 1; 5-32
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constrained controllability of second order dynami cal systems with delay
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/205540.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
controllability
second-order dynamical systems
delayed control systems
semilinear control systems
constrained controls
Opis:
The paper considers finite-dimensional dynami cal control systems described by second order semilinear stationary ordinary differential state equations with delay in control. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear first-order dynamical control system. It is generally assumed that the values of admissible controls are in a convex and closed cone with vertex at zero. Moreover, several remarks and comments on the existing results for controllability of semilinear dynamical control systems are also presented. Finally, a simple numerical example which illustrates theoretical considerations is also given. It should be pointed out that the results given in the paper extend for the case of semilinear second-order dynamical systems constrained controllability conditions, which were previously known only for linear second-order systems.
Źródło:
Control and Cybernetics; 2013, 42, 1; 111-121
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimization of critical flow velocity of aeroelastic energy harvester via delayed feedback control
Autorzy:
Sarbinowski, Filip
Starosta, Roman
Powiązania:
https://bibliotekanauki.pl/articles/2146571.pdf
Data publikacji:
2020
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
energy harvesting
delayed feedback control
flow-induced vibration
harvesting energii
sprzężenie zwrotne z opóźnieniem
drgania wzbudzone przepływem
Opis:
The paper describes the procedure of modelling and optimization of the aeroelastic energy harvester from the point of view of their operation at very low flow velocities. Using analytical solutions of models of different device variants, the relationships between their efficiency and flow velocity were presented. By way of analytical considerations, the conditions for high performance operation of the device have been demonstrated, indicating at the same time the difficulty in maintaining it at low operation velocities. As a solution to the problem, the application of external delayed feedback control was proposed and its effectiveness was demonstrated.
Źródło:
Vibrations in Physical Systems; 2020, 31, 2; art. no. 2020225
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some features of application the delayed feedback controlmethod to Cournot-Puu duopoly model
Autorzy:
Iwaszczuk, N.
Kavalets, I.
Powiązania:
https://bibliotekanauki.pl/articles/411019.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
Cournot-Puu duopoly model
Cournot equilibrium
chaos
stability
delayed feedback control metod (DFC-method)
Opis:
The Cournot-Puu duopoly model is considered. Delayed feedback control method (DFC-method) is applied to this model. The dependence of rate coming of the system at Cournot equilibrium on the feedback coefficient K choice is shown. The optimal value of this coefficient is defined. The dependence of rate coming of the system AT Cournot equilibrium on parameter cr (the ratio of marginal cost firms) is set. The application of DFC-method with two control laws to duopoly model is considered.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2013, 2, 4; 29-37
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Elman neural network for modeling and predictive control of delayed dynamic systems
Autorzy:
Wysocki, A.
Ławryńczuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/229646.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dynamic models
process control
model predictive control
neural networks
Elman neural network
delayed systems
Opis:
The objective of this paper is to present a modified structure and a training algorithm of the recurrent Elman neural network which makes it possible to explicitly take into account the time-delay of the process and a Model Predictive Control (MPC) algorithm for such a network. In MPC the predicted output trajectory is repeatedly linearized on-line along the future input trajectory, which leads to a quadratic optimization problem, nonlinear optimization is not necessary. A strongly nonlinear benchmark process (a simulated neutralization reactor) is considered to show advantages of the modified Elman neural network and the discussed MPC algorithm. The modified neural model is more precise and has a lower number of parameters in comparison with the classical Elman structure. The discussed MPC algorithm with on-line linearization gives similar trajectories as MPC with nonlinear optimization repeated at each sampling instant.
Źródło:
Archives of Control Sciences; 2016, 26, 1; 117-142
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LQG/LTR control of input-delayed discrete-time systems
Autorzy:
Horla, D.
Krolikowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/200895.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
LQG control
loop transfer recovery
time-delay
Opis:
A simple robust cheap LQG control is considered for discrete-time systems with constant input delay. It is well known that the full loop transfer recovery (LTR) effect measured by error function ∆(z) can only be obtained for minimum-phase (MPH) systems without time-de-lay. Explicit analytical expressions for ∆(z) versus delay d are derived for both MPH and NMPH (nonminimum-phase) systems. Obviously, introducing delay deteriorates the LTR effect. In this context the ARMAX system as a simple example of noise-correlated system is examined. The robustness of LQG/LTR control is analyzed and compared with state prediction control whose robust stability is formulated via LMI. Also, the robustness with respect to uncertain time-delay is considered including the control systems which are unstable in open-loop. An analysis of LQG/LTR problem for noise-correlated systems, particularly for ARMAX system, is included and the case of proper systems is analyzed. Computer simulations of second-order systems with constant time-delay are given to illustrate the performance and recovery error for considered systems and controllers.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 6; 1049-1058
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic hopf bifurcation of quasi-integrable hamiltonian systems with time-delayed feedback control
Stochastyczna bifurkacja Hopfa w quasi-całkowalnych układach Hamiltonowskich sterowanych w pętli sprzężenia zwrotnego z opóźnieniem
Autorzy:
Liu, Z. H.
Zhu, W. Q.
Powiązania:
https://bibliotekanauki.pl/articles/280917.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
stochastyczna bifurkacja Hopfa
quasi-całkowalny układ Hamiltonowski
sprzężenie zwrotne z opóźnieniem
stochastic Hopf bifurcation
quasi-integrable Hamiltonian system
stochastic averaging
time-delayed feedback control
Opis:
The stochastic Hopf bifurcation of multi-degree-of-freedom (MDOF) quasi-integrable Hamiltonian systems with time-delayed feedback control subject to Gaussian white noise excitations is studied. First, the time-delayed feedback control forces are approximately expressed in terms of the system state variables without time delay, and the system is converted into anordinary quasi-integrable Hamiltonian system. The averaged It�o stochastic differential equations are derived by using the stochastic averaging method for quasi-integrable Hamiltonian systems. Then, an expression for the average bifurcation parameter of the averaged system is obtained approximately, and a criterion for determining the stochastic Hopf bifurcation caused by the time-delayed feedback control forces in the original system as the value of the average bifurcation parameter changing is proposed. An example is worked out in detail to illustrate the above criterion and its validity, and to show the effect of the time delay in the feedback control on the stochastic Hopf bifurcation of the system.
W pracy zajęto się problemem stochastycznej bifurkacji Hopfa quasi-całkowalnych układów Hamiltonowskich o wielu stopniach swobody poddanych wymuszeniu białym szumem z układem sterowania opartym na pętli sprzężenia zwrotnego z opóźnie- niem. Najpierw znaleziono przybliżone wyrażenia na siły sterujące w funkcji zmiennych stanu układu bez opóźnienia, a następnie przetransformowano go postaci quasi- całkowalnej, Hamiltonowskiej. Wyprowadzono stochastyczne równania różniczkowe It^o za pomocą metody uśredniania układów quasi-całkowalnych. Znaleziono przybliżoną postać wyrażenia na parametr bifurkacyjny uśrednionego układu i zaproponowano kryterium stwierdzające obecność stochastycznej bifurkacji Hopfa wywołanej siłami sterującymi z opóźnieniem na podstawie wartości zmiany tego parametru. Opracowa- no szczegółowo przykład do ilustracji działania tego kryterium i zakresu jego stosowalności oraz do prezentacji wpływu opóźnienia w pętli sterownia na stochastyczną bifurkację Hopfa badanego układu.
Źródło:
Journal of Theoretical and Applied Mechanics; 2008, 46, 3; 531-550
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic performance and stability analysis of an active inerter-based suspension with time-delayed acceleration feedback control
Autorzy:
Wang, Yong
Jin, Xian-Yu
Zhang, Yun-Shun
Ding, Hu
Chen, Li-Qun
Powiązania:
https://bibliotekanauki.pl/articles/2173651.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
active inerter-based suspension
acceleration feedback control
dynamic performance
stability analysis
time delay
kontrola sprzężenia zwrotnego przyspieszenia
wydajność dynamiczna
aktywne zawieszenie na bazie inertera
analiza stabilności
opóźnienie
Opis:
An active inerter-based suspension with acceleration feedback control is proposed in this paper, the time delay generated in the controllers and actuators is considered, which constitutes the time-delayed active inerter-based (TDA-IB) suspension. The dynamic equation of the TDA-IB suspension is established and is a neutral type of delay differential equation (NDDE) in which the time delay exists in the highestorder derivative. The stability analysis is conducted by calculating the number of unstable characteristic roots based on the definite integral stability method, the stable and unstable regions are determined. The effect of time delay and feedback gain on the dynamic performance of the TDA-IB suspension under harmonic, random, and shock excitations is studied in detail and compared with the parallel-connected inerterbased (PC-IB) and traditional suspensions. The results show that the TDA-IB suspension is asymptotically stable for smaller feedback gain and time delay, through increasing the feedback gain, the stable regions shrink, and a smaller time delay could cause the system to become unstable. Furthermore, the time delay could regulate the resonance peak around the unsprung mass natural frequency and generate multiple high-frequency resonance peaks. If the time delay is chosen appropriately and falls into the stable range, the TDA-IB suspension could improve the dynamic performance for the suspension stroke and dynamic tire load while having a deterioration for the vehicle body acceleration compared with the PC-IB and traditional suspensions.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 2; art. no. e140687
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Guaranteed control policy with arbitrary set of correction points for linear-quadratic system with delay
Autorzy:
Chong, K. T.
Kostyukova, O.
Kurdina, M.
Powiązania:
https://bibliotekanauki.pl/articles/969920.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
delayed system
guaranteed optimal control policy
approximative control policy
Opis:
For continuous, uncertain, linear quadratic control system with delayed input, we consider a min-max control policy in which the elements of feedback are present. The feedback is introduced into control optimization by allowing a control to be corrected at a given set of correction points from the control interval. This helps to overcome the feasibility difficulties that arise with standard min-max techniques. We show that construction of the optimal policy involves a sequence of min-max optimizations formulated as dynamic programs that do not yield simple analytical solutions. That is why the paper is mainly focused on construction and justification of suboptimal control policy that can be effectively implemented. Simulated examples demonstrate the proposed approach.
Źródło:
Control and Cybernetics; 2010, 39, 3; 739-768
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Dynamics of a Chemostat Model With Delayed Nutrient Recycling
Autorzy:
Fergola, P.
Jiang, L.
Ma, Z.
Powiązania:
https://bibliotekanauki.pl/articles/929727.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stabilność
sterowanie populacją
chemostat model
delayed nutrient recycling
stability
uniform persistence
population control
Opis:
This paper studies the dynamics of a chemostat model with n populations competing for one nutrient which can be recycled due to decomposition of dead biomass. Several kinds of results about local and global stability of non-negative equilibria, uniform persistence and control of populations are obtained.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 81-96
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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