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    Tytuł:
    A general transfer function representation for a class of hyperbolic distributed parameter systems
    Autorzy:
    Bartecki, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/330308.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    distributed parameter system
    hyperbolic system
    partial differential equation
    transfer function
    heat exchanger
    układ o parametrach rozłożonych
    system hiperboliczny
    równanie różniczkowe cząstkowe
    funkcja przeniesienia
    wymiennik ciepła
    Opis:
    Results of transfer function analysis for a class of distributed parameter systems described by dissipative hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of two boundary inputs, the closed-form expressions for the individual elements of the 2×2 transfer function matrix are derived both in the exponential and in the hyperbolic form, based on the decoupled canonical representation of the system. Some important properties of the transfer functions considered are pointed out based on the existing results of semigroup theory. The influence of the location of the boundary inputs on the transfer function representation is demonstrated. The pole-zero as well as frequency response analyses are also performed. The discussion is illustrated with a practical example of a shell and tube heat exchanger operating in parallel- and countercurrent-flow modes.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 291-307
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal approximation, simulation and analog realization of the fundamental fractional order transfer function
    Autorzy:
    Djouambi, A.
    Charef, A.
    Besançon, A. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/929796.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system ułamkowy
    aproksymacja
    funkcja przenoszenia
    fractional systems
    approximation
    simulation and distribution of the relaxation times function
    Opis:
    This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems for a given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between the irrational transfer function and its rational approximation. A simple analog circuit which can serve as a fundamental analog fractional system is obtained. Illustrative examples are presented to show the quality and usefulness of the approximation method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 455-462
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft
    Autorzy:
    Antoniou, G.
    Emmons, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/911185.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    teoria systemów
    transformata Fouriera
    two dimensions system theory
    Fourier transform
    DFT algorithm
    Fornasini-Marchesini's model
    Opis:
    A new algorithm is presented for the computation of the coefficients of the determinantal polynomial and the coefficients of the adjoint polynomial matrix of a given two-dimensional (2-D) state space model of Fornasini-Marchesini type. The algorithm has been implemented in Matlab and uses the discrete Fourier transform (DFT). The simplicity and efficiency of the technique are illustrated by two examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 321-331
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix
    Autorzy:
    Wawryn, Krzysztof
    Poczekajło, Paweł
    Powiązania:
    https://bibliotekanauki.pl/articles/24988510.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    lossless system
    paraunitary transfer function matrix
    FIR filter
    embedding method
    Opis:
    A synthesis method for designing two-dimensional lossless finite impulse response (FIR) filters for various digital signal processing tasks is proposed. The synthesis method is based on using a 2-D embedding approach to obtain the paraunitary transfer function matrix of the lossless FIR filter. The elements of the paraunitary transfer function matrix are the transfer function of a given lossy FIR structure and the transfer functions for its complementary structures. The embedding method is used to design complementary FIR filter structures for several known lossy FIR filters. The lossless FIR filter matrix obtained in this article has a size of 3 × 1 and satisfies the paraunitary conditions. The conditions are described by a set of nonlinear equations. A modified Newton method is used to solve this set of equations. The proposed design method is used to determine the lossless structures of two-dimensional FIR filters for various digital processing tasks.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 4; 673--686
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs
    Autorzy:
    Bartecki, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/330464.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    distributed parameter system
    hyperbolic equations
    approximation model
    state space
    transfer function
    układ o parametrach rozłożonych
    równanie hiperboliczne
    model aproksymacyjny
    przestrzeń stanu
    funkcja przesyłowa
    Opis:
    Two approximate representations are proposed for distributed parameter systems described by two linear hyperbolic PDEs with two time- and space-dependent state variables and two collocated boundary inputs. Using the method of lines with the backward difference scheme, the original PDEs are transformed into a set of ODEs and expressed in the form of a finite number of dynamical subsystems (sections). Each section of the approximation model is described by state-space equations with matrix-valued state, input and output operators, or, equivalently, by a rational transfer function matrix. The cascade interconnection of a number of sections results in the overall approximation model expressed in finite-dimensional state-space or rational transfer function domains, respectively. The discussion is illustrated with a practical example of a parallel-flow double-pipe heat exchanger. Its steady-state, frequency and impulse responses obtained from the original infinite-dimensional representation are compared with those resulting from its approximate models of different orders. The results show better approximation quality for the “crossover” input–output channels where the in-domain effects prevail as compared with the “straightforward” channels, where the time-delay phenomena are dominating.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 475-491
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Identification of Low-Order Continuous-Time Models Via Discrete-Time Trends of Measurements
    Autorzy:
    Janiszowski, K. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/908268.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    czas ciągły
    funkcja przenoszenia
    model dyskretny
    identyfikacja
    continuous time
    transfer function
    discrete-time model
    identification
    Opis:
    The paper deals with the problem of continuous-time (CT) identification of parameters in transfer functions for low-order linear systems, based on recorded discrete-time (DT) data. Algorithms for direct estimation of CT parameters are developed from rules for transformation of a CT transferfunction controlled via a zero-order sampling-and-hold unit into a DT representation.Two schemes are derived and tested: the first is based on the Goodwin transformation and the other is derived from the modified Tustin transformation. Both the approaches result in relations which can be used for direct estimationof CT parameters in a model of the investigated system. The numerical schemes contain some expressions that are reminiscent of DT differences and consequently they may magnify disturbances. Therefore the results of extensively testing both the schemes including different types of disturbances, measurement noise, slow varying drifts, measurement resolution errors together with changes in the sampling time are presented. A model of a pneumatic servomechanism system was used as a test plant.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 839-853
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extremal properties of linear dynamic systems controlled by Dirac’s impulse
    Autorzy:
    Białas, Stanisław
    Górecki, Henryk
    Zaczyk, Mieczysław
    Powiązania:
    https://bibliotekanauki.pl/articles/331114.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    extremal properties
    Dirac's impulse
    linear system
    transfer function
    właściwości ekstremalne
    impuls Diraca
    układ liniowy
    funkcja przenoszenia
    Opis:
    The paper concerns the properties of linear dynamical systems described by linear differential equations, excited by the Dirac delta function. A differential equation of the form an x(n) (t) + ∙∙∙ a1 x’(t) + a0 x(t) = bm u (t) + ∙∙∙ + b1 u’(t) + b0 u(t) is considered with ai, bj >0. In the paper we assume that the polynomials Mn(s) = ansn + ∙∙∙ + a1s + a0 and Lm(s) = bmsm + ∙∙∙ + b1s + b0 partly interlace. The solution of the above equation is denoted by x(t, Lm, Mn). It is proved that the function x(t, Lm, Mn) is nonnegative for t ∊ (0, ∞) , and does not have more than one local extremum in the interval (0, ∞) (Theorems 1, 3 and 4). Besides, certain relationships are proved which occur between local extrema of the function x(t, Lm, Mn), depending on the degree of the polynomial Mn(s) or Lm(s) (Theorems 5 and 6).
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 75-81
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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:
    J-energy preserving well-posed linear systems
    Autorzy:
    Staffans, O. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/908123.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ zachowawczy
    system liniowy
    równanie Lyapunova
    równanie różniczkowe Riccatiego
    well-posed linear systems
    system node
    transfer function
    Lax-Phillips semigroup
    dissipative systems
    conservative system
    model theory
    conservative realization
    J-energy-preserving system
    Lyapunov equations
    Riccati equation
    Opis:
    The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1361-1378
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of time-fractional heat transfer and its thermal deflection in a circular plate by a moving heat source
    Autorzy:
    Thakare, S.
    Warbhe, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839807.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    naprężenie termiczne
    transformata
    przepływ ciepła
    fractional order
    circular plate
    integral transform
    Mittag-Leffler function
    thermal stresses
    Opis:
    Mathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order […], by the action of a moving heat source. Physically convective heat exchange boundary conditions are applied at lower, upper and outer curved surface of the plate. Temperature distribution and thermal deflection has been investigated by a quasi-static approach in the context of fractional order heat conduction. The integral transformation technique is used to analyze the analytical solution to the problem. Numerical computation including the effect of the fractional order parameter has been done for temperature and deflection and illustrated graphically for an aluminum material.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 3; 158-168
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-10 z 10

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