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    Wyświetlanie 1-15 z 15
    Tytuł:
    The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models
    Autorzy:
    Byrski, W.
    Byrski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/331405.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system ciągły
    funkcja przenoszenia
    metoda najmniejszych kwadratów
    continuous systems
    parameter constraints in identification
    modulating functions
    transfer function normalization
    least squares method
    Opis:
    The paper presents two methods used for the identification of Continuous-time Linear Time Invariant (CLTI) systems. In both methods the idea of using modulating functions and a convolution filter is exploited. It enables the proper transformation of a differential equation to an algebraic equation with the same parameters. Possible different normalizations of the model are strictly connected with different parameter constraints which have to be assumed for the nontrivial solution of the optimal identification problem. Different parameter constraints result in different quality of identification. A thorough discussion on the role of parameter constraints in the optimality of system identification is included. For time continuous systems, the Equation Error Method (EEM) is compared with the continuous version of the Output Error Method (OEM), which appears as a special sub-case of the EEM.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 379-388
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Minimum energy control of positive continuous-time linear systems with bounded inputs
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/329898.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    positive system
    continuous time
    minimum energy control
    bounded inputs
    system dodatni
    układ ciągły
    sterowanie energooszczędne
    Opis:
    The minimum energy control problem for positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 725-730
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Decentralized stabilization of fractional positive descriptor continuous-time linear systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/330521.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    positive system
    linear system
    continuous-time system
    descriptor system
    decentralized stabilization
    układ dodatni
    układ liniowy
    układ ciągły
    układ deskrypcyjny
    Opis:
    A method for decentralized stabilization of fractional positive descriptor linear systems is proposed. Necessary and sufficient conditions for decentralized stabilization of fractional positive descriptor linear systems are established. The efficiency of the proposed method is demonstrated on a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 135-140
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    State estimation for a class of nonlinear systems
    Autorzy:
    Schwaller, B.
    Ensminger, D.
    Dresp-Langley, B.
    Ragot, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/330611.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear system
    state observer
    continuous time
    układ nieliniowy
    obserwator stanu
    układ ciągły
    Opis:
    We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of non-linearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin’s damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 383-394
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A realization problem for positive continuous-time systems with reduced numbers of delays
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/908389.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    czas ciągły
    opóźnienie
    istnienie
    obliczanie
    positive realization
    continuous-time system
    delay
    existence
    computation
    Opis:
    A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 325-331
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    State estimation for miso non-linear systems in controller canonical form
    Autorzy:
    Schwaller, B.
    Ensminger, D.
    Dresp-Langley, B.
    Ragot, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/331350.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear system
    state observer
    continuous time
    układ nieliniowy
    obserwator stanu
    układ ciągły
    Opis:
    We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 569-583
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An adaptive identification method based on the modulating functions technique and exact state observers for modeling and simulation of a nonlinear MISO glass melting process
    Autorzy:
    Byrski, Witold
    Drapała, Michał
    Byrski, Jędrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/907805.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    continuous system
    modulating functions
    system identification
    exact state observer
    glass forehearths
    układ ciągły
    identyfikacja systemu
    dokładny obserwator stanu
    Opis:
    The paper presents new concepts of the identification method based on modulating functions and exact state observers with its application for identification of a real continuous-time industrial process. The method enables transformation of a system of differential equations into an algebraic one with the same parameters. Then, these parameters can be estimated using the least-squares approach. The main problem is the nonlinearity of the MISO process and its noticeable transport delays. It requires specific modifications to be introduced into the basic identification algorithm. The main goal of the method is to obtain on-line a temporary linear model of the process around the selected operating point, because fast methods for tuning PID controller parameters for such a model are well known. Hence, a special adaptive identification approach with a moving window is proposed, which involves using on-line registered input and output process data. An optimal identification method for a MISO model assuming decomposition to many inner SISO systems is presented. Additionally, a special version of the modulating functions method, in which both model parameters and unknown delays are identified, is tested on real data sets collected from a glass melting installation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 739-757
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/329778.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    positive
    nonlinear
    continuous-time system
    linearization
    state feedback
    układ dodatni
    układ ciągły
    sprzężenie zwrotne
    Opis:
    The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system is positive then it is unstable.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 827-831
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative
    Autorzy:
    Kaczorek, T.
    Borawski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/330274.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional system
    descriptor system
    continuous time
    linear system
    Caputo–Fabrizio derivative
    układ niecałkowitego rzędu
    układ deskryptorowy
    układ ciągły
    układ liniowy
    Opis:
    The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated with a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 533-541
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Realization problem for a class of positive continuous-time systems with delays
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/908444.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    realizacja dodatnia
    układ ciągły
    opóźnienie
    obliczanie
    positive realization
    continuous-time system
    delay
    existence
    computation
    Opis:
    The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 447-453
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extension of The Cayley-Hamilton Theorem to Continuous-time Linear Systems With Delays
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/911131.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    twierdzenie Cayleya-Hamiltona
    czas ciągły
    system liniowy
    opóźnienie
    rozszerzenie
    Cayley-Hamilton theorem
    continuous time
    linear system
    delay
    extension
    Opis:
    The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices $A_0, A_1, dots, A_h in R^{n times n}$ of the system with $h$ delays $dot xleft(t right) = A_0 xleft(t right) + sum_{i = 1}^h {A_i xleft( {t - hi} right) + Buleft( t right)}$ satisfy $nh + 1$ algebraic matrix equations with coefficients of the characteristic polynomial $pleft( {s,w}right) = det left[ {I_n s - A_0 - A_1 w - cdots - A_h w^h }right]$, $w = e^{- hs}$.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 231-234
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust stability of positive continuous-time linear systems with delays
    Autorzy:
    Busłowicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908143.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    czas ciągły
    system liniowy
    opóźnienie
    stabilność odporna
    niepewność liniowa
    positive continuous-time linear system
    delay
    robust stability
    linear uncertainty
    interval system
    Opis:
    The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 665-670
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asynchronous distributed state estimation for continuous-time stochastic processes
    Autorzy:
    Kowalczuk, Z.
    Domżalski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/331193.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    continuous time
    stochastic processes
    distributed system
    state estimation
    Kalman filtering
    układ ciągły
    układ stochastyczny
    system rozproszony
    estymacja stanu
    filtracja Kalmana
    Opis:
    The problem of state estimation of a continuous-time stochastic process using an Asynchronous Distributed multi-sensor Estimation (ADE) system is considered. The state of a process of interest is estimated by a group of local estimators constituting the proposed ADE system. Each estimator is based, e.g., on a Kalman filter and performs single sensor filtration and fusion of its local results with the results from other/remote processors to compute possibly the best state estimates. In performing data fusion, however, two important issues need to be addressed namely, the problem of asynchronism of local processors and the issue of unknown correlation between asynchronous data in local processors. Both the problems, along with their solutions, are investigated in this paper. Possible applications and effectiveness of the proposed ADE approach are illustrated by simulated experiments, including a non-complete connection graph of such a distributed estimation system.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 327-339
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Positive stable realizations of fractional continuous-time linear systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/930161.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ liniowy
    układ ciągły
    macierz Metzlera
    fractional
    positive
    stable
    realization
    system Metzler matrix
    procedure
    linear continuous-time
    Opis:
    Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 697-702
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A double window state observer for detection and isolation of abrupt changes in parameters
    Autorzy:
    Byrski, J.
    Byrski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/330142.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault detection
    fault isolation
    exact state observer
    parameter abrupt changes
    derivative reconstruction
    linear continuous system
    detekcja uszkodzeń
    lokalizacja uszkodzeń
    dokładny obserwator stanu
    układ ciągły liniowy
    Opis:
    The paper presents a new method for diagnosis of a process fault which takes the form of an abrupt change in some real parameter of a time-continuous linear system. The abrupt fault in the process real parameter is reflected in step changes in many parameters of the input/output model as well as in step changes in canonical state variables of the system. Detection of these state changes will enable localization of the faulty parameter in the system. For detecting state changes, a special type of exact state observer will be used. The canonical state will be represented by the derivatives of the measured output signal. Hence the exact state observer will play the role of virtual sensors for reconstruction of the derivatives of the output signal. For designing the exact state observer, the model parameters before and after the moment of fault occurrence must be known. To this end, a special identification method with modulating functions will be used. A novel concept presented in this paper concerns the structure of the observer. It will take the form of a double moving window observer which consists of two signal processing windows, each of width T . These windows are coupled to each other with a common edge. The right-hand side edge of the left-side moving window in the interval [t − 2T, t − T ] is connected to the left-hand side edge of the right-side window which operates in the interval [t − T, t]. The double observer uses different measurements of input/output signals in both the windows, and for each current time t simultaneously reconstructs two values of the state—the final value of the state in the left-side window zT (t − T ) and the initial value of the state z0(t − T ) in the right-side window. If the process parameters are constant, the values of both the states on the common joint edge are the same. If an abrupt change (fault) in some parameter at the moment tA = t − T occurs in the system, then step changes in some variables of the canonical state vector will also occur and the difference between the states will be detected. This will enable localization of the faulty parameter in the system.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 585-602
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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