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Wyszukujesz frazę "parameter perturbations" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Performance analysis of the fractional-order vehicle mechatronic ISD suspension with parameter perturbation
    Autorzy:
    Shen, Yujie
    Hua, Jie
    Xia, Xiaohua
    Liu, Yanling
    Yang, Xiaofeng
    Powiązania:
    https://bibliotekanauki.pl/articles/2086945.pdf
    Data publikacji:
    2022
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    vehicle suspension
    mechatronic inerter
    fractional order
    parameter perturbations
    Opis:
    This paper concerns the performance analysis of a fractional-order vehicle mechatronic ISD suspension with parameter perturbation. A dynamic model of the vehicle mechatronic ISD suspension based on a fractional-order electrical network is constructed. The superiority of the vibration isolation performance of the fractional-order ISD suspension is demonstrated, and the dynamic performance of the suspension is analyzed considering perturbation of parameters. Results show that the inertance has an important role when the frequency is above 103 Hz, and the fractional inductance order and fractional capacitance order have significant impact in the frequency range of 10−2 Hz to 102 Hz.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 141--152
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Gaussian process dynamic modeling and backstepping sliding mode control for magnetic levitation system of maglev train
    Autorzy:
    Sun, Yougang
    Wang, Sumei
    Lu, Yang
    Xu, Junqi
    Powiązania:
    https://bibliotekanauki.pl/articles/2086959.pdf
    Data publikacji:
    2022
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    maglev train
    Gaussian process
    sliding mode control
    parameter perturbations
    Opis:
    The maglev trains are strongly nonlinear and open-loop unstable systems with external disturbances and parameters uncertainty. In this paper, the Gaussian process method is utilized to get the dynamic parameters, and a backstepping sliding mode controller is proposed for magnetic levitation systems (MLS) of maglev trains. That is, for a MLS of a maglev train, a nonlinear dynamic model with accurate parameters is obtained by the Gaussian process regression method, based on which a novel robust control algorithm is designed. Specifically, the MLS is divided into two sub-systems by a backstepping method. The inter virtual control inputs and the Lyapunov function are constructed in the first sub-system. For the second sub-system, the sliding mode surface is constructed to fulfil the design of the whole controller to asymptotically regulate the airgap to a desired trajectory. The stability of the proposed control method is analyzed by the Lyapunov method. Both simulation and experimental results are included to illustrate the superior performance of the presented method to cope with parameters perturbations and external disturbance.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 49--62
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence, uniqueness and parameter perturbation analysis results of a fractional integro-differential boundary problem
    Autorzy:
    Zhang, Nan
    Zhang, Lingling
    Ngungu, Mercy
    Adeniji, Adejimi
    Addai, Emmanuel
    Powiązania:
    https://bibliotekanauki.pl/articles/27311450.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    stability analysis
    fractional differential equation
    integro-differential boundary condition
    existence
    uniqueness
    parameter perturbations
    istnienie
    jednoznaczność
    analiza stabilności
    zaburzenia parametrów
    ułamkowe równanie różniczkowe
    warunek brzegowy całkowo-różniczkowy
    Opis:
    In the formulation, the existence, uniqueness and stability of solutions and parameter perturbation analysis to Riemann-Liouville fractional differential equations with integro-differential boundary conditions are discussed by the properties of Green’s function and cone theory. First, some theorems have been established from standard fixed point theorems in a proper Banach space to guarantee the existence and uniqueness of positive solution. Moreover, we discuss the Hyers-Ulam stability and parameter perturbation analysis, which examines the stability of solutions in the presence of small changes in the equation main parameters, that is, the derivative order η, the integral order β of the boundary condition, the boundary parameter ξ , and the boundary value τ. As an application, we present a concrete example to demonstrate the accuracy and usefulness of the proposed work. By using numerical simulation, we obtain the figure of unique solution and change trend figure of the unique solution with small disturbances to occur in different kinds of parameters.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 4; art. no. e145938
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robustness of solutions of an infinite-dimensional algebraic Sylvester equation under bounded perturbations
    Autorzy:
    Emirsajłow, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/205989.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    distributed parameter systems
    algebraic Sylvester equation
    bounded perturbations
    implemented semigroup
    Opis:
    The output regulation problem for distributed parameter systems, see e.g. Byrnes, Lauko, Gillian and Shubov (2000) and Paunonen (2011), and the observer design problem for such systems, see e.g. Emirsajłow (2012), are examples of import ant control problems, where analysis of infinite-dimensional algebraic Sylvester equations plays a crucial role. This paper studies bounded perturbations of the unbounded operators of the algebraic infinitedimensional Sylvester equation. We derive some estimate on the perturbation operator under which the algebraic Sylvester equation preserves a unique solution or, in the control systems terminology, a solution is robust under small bounded perturbations. In our approach we employ the concept of an implemented semigroup, see e.g. Alber (2001) and Emirsajłow (2012), which is a special case of the so-called bi-continuous semigroup, e.g. Farkas (2004).
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 27-45
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point
    Autorzy:
    Sobchuk, Valentyn
    Zelenska, Iryna
    Laptiev, Oleksandr
    Powiązania:
    https://bibliotekanauki.pl/articles/27311440.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    singular perturbations
    asymptotics
    Airy-Langer functions
    small parameter
    turning points
    punkt zwrotny
    funkcje Airy'ego-Langera
    asymptota
    perturbacja singularna
    parametr niski
    Opis:
    The dynamic development of science requires constant improvement of approaches to modeling physical processes and phenomena. Practically all scientific problems can be described by systems of differential equations. Many scientific problems are described by systems of differential equations of a special class, which belong to the group of so-called singularly perturbed differential equations. Mathematical models of processes described by such differential equations contain a small parameter near the highest derivatives, and it was the presence of this small factor that led to the creation of a large mathematical theory. The work proposes a developed algorithm for constructing uniform asymptotics of solutions to systems of singularly perturbed differential equations.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 3; art. no. e145682
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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