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    Wyświetlanie 1-5 z 5
    Tytuł:
    Constrained Controllability of Dynamic Systems
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/908304.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowność wymuszona
    system nieskończenie wymiarowy
    system z rozproszonymi parametrami
    system dynamiczny dodatni
    constrained controllability
    infinite-dimensional systems
    distributed-parameter systems
    positive dynamic systems
    Opis:
    The present paper is devoted to a study of constrained controllability and controllability for linear dynamic systems if the controls are taken to be non-negative. By analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. Weshall concentrate on approximate positive controllability for linear infinite-dimensional dynamic systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. Special attention is paid to positive infinite-dimensional linear dynamic systems. General approximate constrained controllability results are then applied to distributed-parameter dynamic systems described by linear partial-differential equations of parabolic type with various kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, a simple illustrative example is also presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 231-244
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A multi-model approach to Saint-Venant equations: A stability study by LMIs
    Autorzy:
    Dos Santos Martins, V.
    Rodrigues, M.
    Diagne, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330130.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie Saint-Venanta
    system nieskończenie wymiarowy
    stabilność wykładnicza
    Saint-Venant equation
    multi-model
    LMIs
    infinite dimensional system
    exponential stability
    strongly continuous semigroup
    internal model boundary control
    Opis:
    This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities (LMIs) and an Internal Model Boundary Control (IMBC) structure. The method is applied both in simulations and real experiments through a microchannel, illustrating thus the theoretical results developed in the paper.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 539-550
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Discrete-time output observers for boundary control systems
    Autorzy:
    Emirsajłow, Zbigniew
    Powiązania:
    https://bibliotekanauki.pl/articles/2055179.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    boundary control system
    output observer
    infinite dimensional system
    discrete time system
    system kontrolny
    obserwator wejściowy
    układ nieskończenie wymiarowy
    układ czasu dyskretnego
    Opis:
    The paper studies the output observer design problem for a linear infinite-dimensional control plant modelled as an abstract boundary input/output control system. It is known that such models lead to an equivalent state space description with unbounded control (input) and observation (output) operators. For this class of infinite-dimensional systems we use the Cayley transform to approximate the sophisticated infinite-dimensional continuous-time model by a discrete-time infinite-dimensional one with all involved operators bounded. This significantly simplifies mathematical aspects of the observer design procedure. As is well known, the essential feature of the Cayley transform is that it preserves various system theoretic properties of the control system model, which may be useful in analysis. As an illustration, we consider an example of designing an output observer for the one-dimensional heat equation with measured controls (inputs) in the Neumann boundary conditions, measured outputs in the Dirichlet boundary conditions and an unmeasured output at a fixed point within the domain. Numerical simulations of this example show that the interpolated continuous-time signal, obtained from the discrete-time observer, can be successfully used for tracking the continuous-time plant output.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 4; 613--626
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modeling heat distribution with the use of a non-integer order, state space model
    Autorzy:
    Oprzędkiewicz, K.
    Gawin, E.
    Mitkowski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/330227.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    non-integer order system
    heat transfer equation
    infinite dimensional system
    Feller semigroups
    układ niecałkowitego rzędu
    wymiana ciepła
    układ nieskończenie wymiarowy
    Opis:
    A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature distribution in a one dimensional plant. Results of experiments show that the proposed model is more accurate than the analogical integer order model in the sense of the MSE cost function.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 749-756
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process
    Autorzy:
    Oprzędkiewicz, K.
    Mitkowski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/331055.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    noninteger order system
    heat transfer equation
    infinite dimensional system
    continuous fraction expansion
    układ niecałkowitego rzędu
    wymiana ciepła
    układ nieskończenie wymiarowy
    Opis:
    A new, state space, discrete-time, and memory-efficient model of a one-dimensional heat transfer process is proposed. The model is derived directly from a time-continuous, state-space semigroup one. Its discrete version is obtained via a continuous fraction expansion method applied to the solution of the state equation. Fundamental properties of the proposed model, such as decomposition, stability, accuracy and convergence, are also discussed. Results of experiments show that the model yields good accuracy in the sense of the mean square error, and its size is significantly smaller than that of the model employing the well-known power series expansion approximation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 649-659
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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