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    Wyświetlanie 1-18 z 18
    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
    Tytuł:
    Stochastic controllability of systems with multiple delays in control
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907857.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowalność
    liniowy system sterowania
    sterowalność stochastyczna
    sterowanie opóźnione
    controllability
    linear control systems
    stochastic control systems
    delayed controls
    multiple delays
    Opis:
    Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved that, under suitable assumptions, relative controllability of an associated deterministic linear dynamic system is equivalent to stochastic relative exact controllability and stochastic relative approximate controllability of the original linear stochastic dynamic system. As a special case, relative stochastic controllability of dynamic systems with a single point delay is also considered. Some remarks and comments on the existing results for stochastic controllability of linear dynamic systems are also presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 39-47
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stochastic controllability of linear systems with state delays
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911240.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowalność
    liniowy system sterowania
    sterowanie z minimalną energią
    controllability
    linear control systems
    stochastic control systems
    delayed state variables
    minimum energy control
    Opis:
    A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability of an associated deterministic linear dynamic system is equivalent to the stochastic relative exact controllability and the stochastic relative approximate controllability of the original linear stochastic dynamic system. Some remarks and comments on the existing results for the controllability of linear dynamic systems with delays are also presented. Finally, a minimum energy control problem for a stochastic dynamic system is formulated and solved.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 5-13
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fractional order PI controllers for TCP packet flow ensuring given modulus margins
    Autorzy:
    Krajewski, W.
    Viaro, U.
    Powiązania:
    https://bibliotekanauki.pl/articles/205939.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    fractional-order PI controllers
    robust control
    TCP congestion control
    delayed systems
    Opis:
    An Active Queue Management (AQM) robust control strategy for Traffic Control Protocol (TCP) data transfer is proposed. To this purpose, the TCP behaviour is first approximated by a second–order model with delayed input obtained from the linearization of an efficient and commonly used nonlinear fluid–based model. The adopted feedback control structure uses a fractional– order PI controller. To ensure the desired robustness, the parameter regions where such a controller guarantees a given modulus margin (inverse of the H1 norm of the sensitivity function) are derived. An example commonly used in the literature is worked out to show that the suggested graphically–based design technique is simple to apply while it limits the effects of disturbances and of the unmodelled dynamics.
    Źródło:
    Control and Cybernetics; 2014, 43, 4; 493-505
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Discrete-time Markovian jump linear systems
    Autorzy:
    Szajowski, K.
    Koning, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/205971.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    proces Markowa
    sterowanie optymalne
    układ optymalny liniowy
    delayed observation
    detectability
    jump linear systems
    Markov chain
    optimal control
    stabilizability
    Opis:
    The paper considers a problem of optimal control of a linear system with the parameters dependent on the states of a Markov chain. The cost criterion is quadratic in the controls and states of the system. The criterion parameters also depend on the states of the Markov chain. Two models of observation of the Markov chain are adopted - delay for one step and no delay. It is shown that under appopriate mean square detectability and stabilizability conditions the infinite horizon optimal control problem for the general case of Markovian jump linear quadratic systems has a unigue mean square stabilizing solution. Necessary and sufficient conditions are given to determine if a system is mean square stabilizable.
    Źródło:
    Control and Cybernetics; 1998, 27, 1; 63-80
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability and transparency of delayed bilateral teleoperation with haptic feedback
    Autorzy:
    Estrada, Edgar
    Yu, Wen
    Li, Xiaoou
    Powiązania:
    https://bibliotekanauki.pl/articles/330892.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    bilateral teleoperation
    force control
    stability
    transparency analysis
    dwustronna teleoperacja
    sterowanie siłą
    transparentność
    Opis:
    Haptic guidance can improve control accuracy in bilateral teleoperation. With haptic sensing, the human operator feels that he grabs the robot on the remote side. There are results on the stability and transparency analysis of teleoperation without haptic guidance, and the analysis of teleoperation with haptic feedback is only for linear and zero time-delay systems. In this paper, we consider more general cases: the bilateral teleoperation systems have time-varying communication delays, the whole systems are nonlinear, and they have force feedback. By using the admittance human operator model, we propose a new control scheme with the interaction passivity of the teleoperator. The stability and transparency of the master-slave system are proven with the Lyapunov–Krasovskii method. Numerical simulations illustrate the efficiency of the proposed control methods.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 681-692
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stan badań w zakresie teorii sterowania
    State of research in control theory
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/153744.pdf
    Data publikacji:
    2011
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    układy dynamiczne
    układy liniowe
    układy z opóźnieniami
    układy o parametrach rozłożonych
    układy nieliniowe
    dynamical systems
    linear systems
    delayed systems
    distributed parameter systems
    nonlinear systems
    Opis:
    Niniejsze opracowanie poświęcone jest analizie aktualnego stanu badań oraz perspektywom rozwoju teorii sterowania w uczelniach i instytutach naukowych. Celem opracowania jest podjecie próby wytyczenia głównych kierunków działalności naukowo-badawczej oraz ich koordynacja. Teoria sterowania jest uprawiana w kilkunastu ośrodkach krajowych, w większości w wyższych uczelniach technicznych oraz w instytutach badawczych Polskiej Akademii Nauk. W artykule rozpatrywane są zarówno skończenie wymiarowe układy dynamiczne liniowe ciągłe i dyskretne jak i nieliniowe układy dynamiczne. W przypadku układów liniowych wyróżnia się miedzy innymi układy osobliwe oraz w przypadku układów dyskretnych układy o wielu zmiennych niezależnych. Przedstawione są także układy nieskończenie-wymiarowe opisane równaniami różniczkowymi cząstkowymi oraz skończenie wymiarowe układy dynamiczne z różnego typu opóźnieniami zarówno w stanie, jak i w sterowaniu.
    The presented paper is devoted to analysis of research in the domain of control theory and development perspectives of control theory in technical high schools and research institutes of the Polish Academy of Sciences. The main research directions in mathematical control theory are pointed out. It should be stressed that control theory is developed in several universities and institutes. The paper contains many remarks and comments concerning control theory of finite-dimensional dynamical systems both for linear continuous-time and discrete-time as well as nonlinear dynamical systems. In the case of linear systems there are distinguished, among others, singular systems and in the case of discrete-time systems - systems with many independent variables. Moreover, infinite-dimensional dynamical systems and systems with different types of delays in the state variables and in the admissible controls are also considered. There are also presented in the paper: linear finite-dimensional dynamical systems, multidimensional systems and automatic control, distributed parameter dynamical systems, shape optimisation, dynamical systems with delays, special flying machines, nonlinear dynamical systems, multi-criterion optimisation.
    Źródło:
    Pomiary Automatyka Kontrola; 2011, R. 57, nr 11, 11; 1436-1440
    0032-4140
    Pojawia się w:
    Pomiary Automatyka Kontrola
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New event based H∞ state estimation for discrete-time recurrent delayed semi-markov jump neural networks via a novel summation inequality
    Autorzy:
    Cao, Yang
    Maheswari, K.
    Dharan, S.
    Sivaranjani, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/2147136.pdf
    Data publikacji:
    2022
    Wydawca:
    Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
    Tematy:
    discrete-time neural networks
    mixed time delays
    asymptotic stability
    eventtriggered control
    Opis:
    This paper investigates the event-based state estimation for discrete-time recurrent delayed semi-Markovian neural networks. An event-triggering protocol is introduced to find measurement output with a specific triggering condition so as to lower the burden of the data communication. A novel summation inequality is established for the existence of asymptotic stability of the estimation error system. The problem addressed here is to construct an H∞ state estimation that guarantees the asymptotic stability with the novel summation inequality, characterized by event-triggered transmission. By the Lyapunov functional technique, the explicit expressions for the gain are established. Finally, two examples are exploited numerically to illustrate the usefulness of the new methodology.
    Źródło:
    Journal of Artificial Intelligence and Soft Computing Research; 2022, 12, 3; 207--227
    2083-2567
    2449-6499
    Pojawia się w:
    Journal of Artificial Intelligence and Soft Computing Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    T–S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws
    Autorzy:
    Salcedo, José V.
    Martínez, Miguel
    García-Nieto, Sergio
    Hilario, Adolfo
    Powiązania:
    https://bibliotekanauki.pl/articles/330030.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear matrix inequalities
    Takagi–Suegno fuzzy system
    fuzzy Lyapunov function
    integral delayed Lyapunov function
    nonparallel distributed fuzzy controller
    generalised inescapable ellipsoids
    liniowe nierówności macierzowe
    model rozmyty Takagi-Sugeno
    funkcja Lapunowa
    Opis:
    This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi–Sugeno fuzzy models. These non-PDC controllers guarantee bounded input bounded output stabilisation in closed-loop throughout the computation of generalised inescapable ellipsoids. These controllers are computed with linear matrix inequalities using fuzzy Lyapunov functions and integral delayed Lyapunov functions. LMI conditions developed in this paper provide non-PDC controllers with a minimum ⋆-norm (upper bound of the 1-norm) for the T–S fuzzy system under persistent perturbations. The results presented in this paper can be classified into two categories: local methods based on fuzzy Lyapunov functions with guaranteed bounds on the first derivatives of membership functions and global methods based on integral-delayed Lyapunov functions which are independent of the first derivatives of membership functions. The benefits of the proposed results are shown through some illustrative examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 529-550
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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