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    Wyświetlanie 1-13 z 13
    Tytuł:
    Fractional-order LTI system identification using integer order state-space model
    Autorzy:
    Jakowluk, Wiktor
    Powiązania:
    https://bibliotekanauki.pl/chapters/32083884.pdf
    Data publikacji:
    2021
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    fractional-order LTI system
    approximating
    numerical examples
    Opis:
    The optimal input signal design is a technique of generating an informative excitation signal to estimate the model parameters with maximum accuracy. In the paper, a novel optimal input formulation and a numerical scheme for fractional-order LTI system identification are presented. The Oustaloup recursive approximation (ORA) method is used to determine the fractional-order differentiation in an integer-order state-space form. Then, the proposed method is used to obtain an optimal input signal for fractional-order system parameter estimation from the interval 0.5 ≤ ≤ 2.0. The methodology presented in this paper has been verified using numerical examples, and the experiment results have been discussed.
    Źródło:
    Methods and tools in CAD – selected issues; 75-86
    9788366391871
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Time Petri nets state space reduction using dynamic programming
    Autorzy:
    Popova-Zeugmann, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970865.pdf
    Data publikacji:
    2006
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    programowanie dynamiczne
    time Petri net
    dynamic programming
    state space reduction
    integer state
    reachability graph
    Opis:
    In this paper a parametric description for the state space of an arbitrary TPN is given. An enumerative procedure for reducing the state space is introduced. The reduction is defined as a truncated multistage decision problem and solved recursively. A reachability graph is denned in a discrete way by using the reachable integer-states of the TPN.
    Źródło:
    Control and Cybernetics; 2006, 35, 3; 721-748
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A non integer order, state space model for one dimensional heat transfer proces
    Autorzy:
    Oprzedkiewicz, K.
    Gawin, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/229619.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    non-integer order systems
    heat transfer process
    diffusion equation
    infinite dimensional systems
    Opis:
    In the paper a new, state space, non integer order model for one dimensional heat transfer process is presented. The model is based on known semigroup model. The derivative with respect to time is described by the non integer order Caputo operator, the spatial derivative is described by integer order operator. The elementary properties of the state operator are proven. The solution of state equation is calculated with the use of Laplace transform. Results of experiments show, that the proposed model is more accurate than analogical integer order model in the sense of square cost function.
    Źródło:
    Archives of Control Sciences; 2016, 26, 2; 261-275
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non integer order, state space model of heat transfer process using Atangana-Baleanu operator
    Autorzy:
    Oprzędkiewicz, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/202078.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    non integer order systems
    heat transfer equation
    infinite dimensional systems
    fractional order state equation
    Riesz operator
    Caputo operator
    Atangana-Baleanu operator
    Opis:
    In the paper a new, state space, non integer order model of an one-dimensional heat transfer process is proposed. The model uses a new operator with Mittag-Leffler kernel, proposed by Atangana and Beleanu. The non integer order spatial derivative is expressed by Riesz operator. Analytical formula of the step response is given, the convergence of the model is discussed too. Theoretical results are verified by experiments.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 1; 43-50
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non integer order, state space model of heat transfer process using Caputo-Fabrizio operator
    Autorzy:
    Oprzędkiewicz, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/201464.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    non-integer order systems
    heat transfer equation
    infinite dimensional systems
    fractional order state equation
    Riesz operator
    Caputo operator
    Caputo-Fabrizio operator
    systemy niecałkowitego rzędu
    układ niecałkowitego rzędu
    twierdzenie Riesza
    pochodna Caputo
    Opis:
    The paper is intended to show a new state space, non integer order model of an one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space semigroup model. The fractional order derivative with respect to time is by a new operator proposed by Caputo and Fabrizio, the non integer order spatial derivative is expressed by Riesz operator. The Caputo-Fabrizio operator can be directly implementated using MATLAB, because it does not require us to apply any approximation. Analytical formulae of step response are given, the system decomposition was discussed also. Main results from the paper show that the use of Caputo Fabrizio operator allows us to obtain the simple in implementation and analysis model of the considered heat transfer process. The accuracy of the proposed model in the sense of a MSE cost function is satisfying.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 3; 249-255
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    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:
    Non integer order, discrete, state space model of heat transfer process using Grünwald-Letnikov operator
    Autorzy:
    Oprzędkiewicz, K.
    Dziedzic, K.
    Więckowski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/200257.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    non integer order systems
    heat transfer
    fractional order state equation
    fractional order backward difference
    Grünwald-Letnikov operator
    convergence
    Opis:
    The paper is intented to show a new, state space, discrete, non integer order model of a one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space model and it uses the discrete Grünwald-Letnikov operator to express the fractional order difference with respect to time. Stability and spectrum decomposition for the proposed model are recalled, the accuracy and convergence are analyzed too. The convergence of the proposed model does not depend on parameters of heater and measuring sensors. The dimension of the model assuring stability and predefined rate of convergence and stability is estimated. Analytical results are confirmed by experiments.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 5; 905-914
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability of fractional positive continuous-time linear systems with state matrices in integer and rational powers
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/202105.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    stability
    fractional
    positive continuous-time
    linear system
    integers
    rational powers
    order
    stabilność
    pozytywny
    liniowy
    czas ciągły
    system
    Opis:
    The stability of fractional standard and positive continuous-time linear systems with state matrices in integer and rational powers is addressed. It is shown that the fractional systems are asymptotically stable if and only if the eigenvalues of the state matrices satisfy some conditions imposed on the phases of the eigenvalues. The fractional standard systems are unstable if the state matrices have at least one positive eigenvalue.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 3; 305-311
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Reachability and observability of positive discrete-time linear systems with integer positive and negative powers of the state Frobenius matrices
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/949806.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    discrete-time
    linear
    positive
    system
    monomial Frobenius generalized matrix
    reachability
    observability
    Opis:
    The notions of monomial generalized Frobenius matrices is proposed and the reachability and observability of positive discrete-time linear systems with positive and negative integer powers of the state matrices is addressed. Necessary and sufficient conditions for the reachability of the positive systems are established.
    Źródło:
    Archives of Control Sciences; 2018, 28, 1; 119-133
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modified integer model for solving the master bay problem
    Autorzy:
    Tsymbal, M.
    Kamieniev, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/2063952.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
    Tematy:
    ship operation problem
    master bay problem
    integer model
    modified integer model
    genetic algorithm
    steady-state genetic algorithm
    numerical experiment
    feasibility study
    Opis:
    One of key components in keeping a ship seaworthy is a correctly prepared cargo plan. Considering the recent cost cutting measures and reduced transportation volumes relevance of optimizing such a plan cannot be understated. Though there’s a number of studies addressing the issue none of them covers all the operational and constructional constraints necessary to factor for. This article presents an integer model that tries to address some of the constraints missed by other researches. A method for solving the model is designed and developed based on a steady-state genetic algorithm. A numerical experiment is conducted showing the method’s feasibility.
    Źródło:
    TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2021, 15, 3; 749--753
    2083-6473
    2083-6481
    Pojawia się w:
    TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An integer optimization model and algorithms to support the cost-revenue study and provisory designing warehouses or other storage objects
    Autorzy:
    Miatselski, M.
    Staruch, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/298439.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Warmińsko-Mazurski w Olsztynie
    Tematy:
    warehouse design
    cost-revenue recognition
    state space
    model
    algorithm
    nonlinear programming
    integer programming
    Opis:
    An optimization model for the cost–revenue study at the stage of system analysis and preliminary designs of storage objects such as warehouses, containers, packs and similar objects are developed. Our assumptions motivated by warehouses design lead us to a nonlinear integer optimization problem with the only basic constraint. We present algorithmic methods for obtaining the exact solution to the general problem with emphasizing the special case when both the objective and the constraint functions are increasing. The results of the paper may be used in developing software tools intended for supporting designers.
    Źródło:
    Technical Sciences / University of Warmia and Mazury in Olsztyn; 2018, 21(4); 257-269
    1505-4675
    2083-4527
    Pojawia się w:
    Technical Sciences / University of Warmia and Mazury in Olsztyn
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The practical stability of the discrete, fractional order, state space model of the heat transfer process
    Autorzy:
    Oprzędkiewicz, K.
    Gawin, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/230065.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    discrete non-integer order system
    heat transfer
    diffusion equation
    Grünvald-Letnikov operator
    practical stability
    Opis:
    In the paper the practical stability problem for the discrete, non-integer order model of one dimmensional heat transfer process is discussed. The conditions associating the practical stability to sample time and maximal size of finite-dimensional approximation of heat transfer model are proposed. These conditions are formulated with the use of spectrum decoposition property and practical stability conditions for scalar, positive, fractional order systems. Results are illustrated by a numerical example.
    Źródło:
    Archives of Control Sciences; 2018, 28, 3; 463-482
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The positivity of the fractional order model of a two-dimensional temperature field
    Autorzy:
    Oprzędkiewicz, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/27311454.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    heat transfer equation
    fractional order state equation
    Caputo operator
    positivity
    thermal camera
    non-integer order systems
    równanie wymiany ciepła
    równanie stanu rzędu ułamkowego
    operator Caputo
    kamera termowizyjna
    systemy niecałkowitego rzędu
    dodatniość
    Opis:
    The paper presents analysis of the positivity for a two-dimensional temperature field. The process under consideration is described by the linear, infinite-dimensional, noninteger order state equation. It is derived from a two-dimensional parabolic equation with homogenous Neumann boundary conditions along all borders and homogenous initial condition. The form of control and observation operators is determined by the construction of a real system. The internal and external positivity of the model are associated to the localization of heater and measurement. It has been proven that the internal positivity of the considered system can be achieved by the proper selection of attachment of a heater and place of a measurement as well as the dimension of the finite-dimensional approximation of the considered model. Conditions of the internal positivity associated with construction of real experimental system are proposed. The postivity is analysed separately for control and output of the system. This allows one to analyse the positivity of thermal systems without explicit control. Theoretical considerations are numerically verified with the use of experimental data. The proposed results can be applied i.e. to point suitable places for measuring of a temperature using a thermal imaging camera.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 4; art. no. e145675
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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