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Wyszukujesz frazę "fractional order systems" wg kryterium: Temat

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    Wyświetlanie 1-8 z 8
    Tytuł:
    Approximation method for a fractional order transfer function with zero and pole
    Autorzy:
    Oprzędkiewicz, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/229961.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fractional order systems
    fractional order transfer function
    Charef approximation
    Opis:
    The paper presents an approximation method for elementary fractional order transfer function containing both pole and zero. This class of transfer functions can be applied for example to build model - based special control algorithms. The proposed method bases on Charef approximation. The problem of cancelation pole by zero with useful conditions was considered, the accuracy discussion with the use of interval approach was done also. Results were depicted by examples.
    Źródło:
    Archives of Control Sciences; 2014, 24, 4; 447-463
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Equivalent diagrams of fractional order elements
    Autorzy:
    Różowicz, Sebastian
    Włodarczyk, Maciej
    Zawadzki, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/27324011.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    fractional order derivative
    Laplace transform for fractional order systems
    CFE method
    circuit synthesis
    numerical experiments
    Opis:
    This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: sαL,sub>α and 1/sαCsub>α, (0 α 1) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with varying degrees of accuracy – the continued fraction expansion method (CFE). Then circuit synthesis methods were applied. As a result, equivalent circuit diagrams of fractional order elements were obtained. The obtained equivalent schemes consist both of classical RLC elements, as well as active elements built based on operational amplifiers. Numerical experiments were conducted for the constructed models, presenting responses to selected input signals.
    Źródło:
    Archives of Control Sciences; 2023, 33, 4; 801--827
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Cluster consensus of general fractional-order nonlinear multi agent systems via adaptive sliding mode controller
    Autorzy:
    Yaghoubi, Zahra
    Talebi, Heidar Ali
    Powiązania:
    https://bibliotekanauki.pl/articles/230002.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    nonlinear multi agent systems
    cluster consensus
    fractional-order systems
    adaptive sliding mode controller
    Opis:
    In this paper cluster consensus is investigated for general fractional-order multi agent systems with nonlinear dynamics via adaptive sliding mode controller. First, cluster consensus for fractional-order nonlinear multi agent systems with general form is investigated. Then, cluster consensus for the fractional-order nonlinear multi agent systems with first-order and general form dynamics is investigated by using adaptive sliding mode controller. Sufficient conditions for achieving cluster consensus for general fractional-order nonlinear multi agent systems are proved based on algebraic graph theory, Lyapunov stability theorem and Mittag-Leffler function. Finally, simulation examples are presented for first-order and general form multi agent systems, i.e. a single-link flexible joint manipulator which demonstrates the efficiency of the proposed adaptive controller.
    Źródło:
    Archives of Control Sciences; 2019, 29, 4; 643-665
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using fractional-order PD-based feedback control scheme
    Autorzy:
    Soukkou, Ammar
    Soukkou, Yassine
    Haddad, Sofiane
    Benghanem, Mohamed
    Rabhi, Abdelhamid
    Powiązania:
    https://bibliotekanauki.pl/articles/27322620.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    fractional-order systems
    fractional-order control
    Lyapunov stability theory
    multiobjective optimization
    artificial hummingbird algorithm
    stabilization
    synchronization
    energy resources demand-dupply systems
    Opis:
    This paper introduces a fractional-order PD approach (F-oPD) designed to control a large class of dynamical systems known as fractional-order chaotic systems (F-oCSs). The design process involves formulating an optimization problem to determine the parameters of the developed controller while satisfying the desired performance criteria. The stability of the control loop is initially assessed using the Lyapunov’s direct method and the latest stability assumptions for fractional-order systems. Additionally, an optimization algorithm inspired by the flight skills and foraging behavior of hummingbirds, known as the Artificial Hummingbird Algorithm (AHA), is employed as a tool for optimization. To evaluate the effectiveness of the proposed design approach, the fractional-order energy resources demand-supply (Fo-ERDS) hyperchaotic system is utilized as an illustrative example.
    Źródło:
    Archives of Control Sciences; 2023, 33, 3; 539--563
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Lepschy stability test and its application to fractional-order systems
    Autorzy:
    Casagrande, Daniele
    Krajewski, Wiesław
    Viaro, Umberto
    Powiązania:
    https://bibliotekanauki.pl/articles/1409108.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fractional-order systems
    D-stability
    recursive algorithms
    complex polynomials
    root locus
    symmetries
    control-theory didactics
    Opis:
    It is shown how a stability test, alternative to the classical Routh test, can profitably be applied to check the presence of polynomial roots inside half-planes or even sectors of the complex plane. This result is obtained by exploiting the peculiar symmetries of the root locus in which the basic recursion of the test can be embedded. As is expected, the suggested approach proves useful for testing the stability of fractional-order systems. A pair of examples show how the method operates. It is believed that the suggested geometric approach can also be of some didactic value in introducing basic control-system tools to engineering students.
    Źródło:
    Archives of Control Sciences; 2021, 31, 1; 145-163
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems
    Autorzy:
    Basdouri, Imed
    Kasmi, Souad
    Lerbet, Jean
    Powiązania:
    https://bibliotekanauki.pl/articles/27312007.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    fractional-order systems
    Caputo derivative
    quasi-one-sided Lipschitz condition
    nonlinear systems
    observer design
    output feedback stabilization
    separation principle
    Opis:
    This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones. Based on the quasi-one-sided Lipschitz condition, firstly, we provide sufficient conditions for the practical observer design. Then, we exhibit that practical Mittag-Leffler stability of the closed loop system with a linear, state feedback is attained. Finally, a separation principle is established and we prove that the closed loop system is practical Mittag-Leffler stable.
    Źródło:
    Archives of Control Sciences; 2023, 33, 1; 55--70
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fractional descriptor observers for fractional descriptor continuous-time linear system
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/229221.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fractional descriptor linear systems
    design
    full-order
    fractional
    observer
    Opis:
    Fractional descriptor full-order observers for fractional descriptor continuous-time linear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the observers is demonstrated on two numerical examples.
    Źródło:
    Archives of Control Sciences; 2014, 24, 1; 27-37
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comparative study of 2DOF PID and 2DOF fractional order PID controllers on a class of unstable systems
    Autorzy:
    Bingi, K.
    Ibrahim, R.
    Karsiti, M. N.
    Hassan, S. M.
    Harindran, V. R.
    Powiązania:
    https://bibliotekanauki.pl/articles/229519.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fractional order controller
    set-point weighting
    2DOF PID
    process control
    unstable systems
    Opis:
    The proportional-integral-derivative (PID) controllers have experienced series of structural modifications and improvements. Example of such modifications are set-point weighting and fractional ordering. While the former is to achieve two-degree-of-freedom (2DOF) ability of set-point tracking and disturbance rejection, the latter is to ensure smooth control action. Therefore, this paper reviews various forms of PID controllers and provides a comparative analysis of 2DOF PID and 2DOF fractional order PID (FOPID) controllers. The paper also discusses the conversion of one PID form to another. For the comparative analysis of the various controllers, a class of unstable systems are considered. Simulation result shows that in most cases the conversion from one form to another does not significantly affect the performance of the system. It is also observed that the 2DOF controllers (2DOF PID and 2DOF FOPID) improved significantly the performance of the ordinary PID controllers.
    Źródło:
    Archives of Control Sciences; 2018, 28, 4; 635-682
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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