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    Wyświetlanie 1-3 z 3
    Tytuł:
    A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation
    Autorzy:
    Vaidyanathan, Sundarapandian
    Benkouider, Khaled
    Sambas, Aceng
    Powiązania:
    https://bibliotekanauki.pl/articles/2106506.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    jerk systems
    bifurcation
    multistability
    attractors
    backstepping control
    circuit design
    Opis:
    In this work, we present results for a new dissipative jerk chaotic system with three quadratic terms in its dynamics.We describe the bifurcation analysis for the new jerk system and also show that the proposed system exhibits multi-stability. Next, we describe a backstepping control-based synchronization design for a pair of new jerk chaotic systems. MATLAB simulations are put forth to exhibit the various findings in this work. Furthermore, we exhibit a circuit simulation for the new jerk system using MultiSim.
    Źródło:
    Archives of Control Sciences; 2022, 32, 1; 123--152
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control
    Autorzy:
    Vaidyanathan, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/229916.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    jerk systems
    chaos control
    adaptive control
    backstepping control
    synchronization
    Opis:
    This paper presents a new seven-term 3-D jerk chaotic system with two cubic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described. The novel jerk chaotic system has a unique equilibrium at the origin, which is a saddle-focus and unstable. The Lyapunov exponents of the novel jerk chaotic system are obtained as L1 = 0:2974, L2 = 0 and L3 = −3:8974. Since the sum of the Lyapunov exponents of the jerk chaotic system is negative, we conclude that the chaotic system is dissipative. The Kaplan-Yorke dimension of the new jerk chaotic system is found as DKY = 2:0763. Next, an adaptive backstepping controller is designed to globally stabilize the new jerk chaotic system with unknown parameters. Moreover, an adaptive backstepping controller is also designed to achieve global chaos synchronization of the identical jerk chaotic systems with unknown parameters. The backstepping control method is a recursive procedure that links the choice of a Lyapunov function with the design of a controller and guarantees global asymptotic stability of strict feedback systems. MATLAB simulations are shown to illustrate all the main results derived in this work.
    Źródło:
    Archives of Control Sciences; 2017, 27, 3; 409-439
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design
    Autorzy:
    Mohamed, Mohamad Afendee
    Vaidyanathan, Sundarapandian
    Hannachi, Fareh
    Sambas, Aceng
    Darwin, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/27324008.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    chaos
    jerk systems
    chaotic systems
    Lyapunov exponents
    bifurcation
    multistability
    circuit simulation
    backstepping control
    Opis:
    In this work, a new 3-D modified WINDMI chaotic jerk system with exponential and sinusoidal nonlinearities is presented and its dynamical behaviours and properties are investigated. Firstly, some properties of the system are studied such as equilibrium points and their stability, Lyapunov exponents and Kaplan-Yorke dimension. Also, we study the new jerk system dynamics using numerical simulations and analyses, including phase portraits, Lyapunouv exponent spectrum, bifurcation diagram and Poincaré map, 0-1 test. Next, we exhibit that the new 3-D chaotic modified WINDMI jerk system has multistability with coexisting chaotic attractors. Moreover, we design an electronic circuit using MultiSim 14.1 for real implementation of the modified WINDMI chaotic jerk system. Finally, we design an active synchronization scheme for the complete synchronization of the modified WINDMI chaotic jerk systems via backstepping control.
    Źródło:
    Archives of Control Sciences; 2023, 33, 4; 711--735
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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