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    Wyświetlanie 1-6 z 6
    Tytuł:
    A new 4-D dynamical system exhibiting chaos with a line of rest points, its synchronizationand circuit model
    Autorzy:
    Vaidyanathan, Sundarapandian
    Sambas, Aceng
    Zhang, Sen
    Powiązania:
    https://bibliotekanauki.pl/articles/229283.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    circuit design
    synchronization
    Opis:
    A new 4-D dynamical system exhibiting chaos is introduced in this work. The proposed nonlinear plant with chaos has an unstable rest point and a line of rest points. Thus, the new nonlinear plant exhibits hidden attractors. A detailed dynamic analysis of the new nonlinear plant using bifurcation diagrams is described. Synchronization result of the new nonlinear plant with itself is achieved using Integral Sliding Mode Control (ISMC). Finally, a circuit modelusing MultiSim of the new 4-D nonlinear plant with chaos is carried out for practical use.
    Źródło:
    Archives of Control Sciences; 2019, 29, 3; 485-506
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Chaos in a simple snap system with only one nonlinearity, its adaptive control and real circuit design
    Autorzy:
    Pham, Viet-Thanh
    Vaidyanathan, Sundarapandian
    Volos, Christos
    Jafari, Sajad
    Alsaadi, Fawaz E.
    Alsaadi, Fuad E.
    Powiązania:
    https://bibliotekanauki.pl/articles/229990.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    hyperjerk systems
    adaptive control
    backstepping control
    circuit design
    Opis:
    We study an elegant snap system with only one nonlinear term, which is a quadratic nonlinearity. The snap system displays chaotic attractors, which are controlled easily by changing a system parameter. By using analysis, simulations and a real circuit, the dynamics of such a snap system has been investigated. We also investigate backstepping based adaptive control schemes for the new snap system with unknown parameters.
    Źródło:
    Archives of Control Sciences; 2019, 29, 1; 73-96
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design
    Autorzy:
    Vaidyanathan, S.
    Jafari, S.
    Pham, V.-T.
    Azar, A. T.
    Alsaadi, F. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/229776.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    hyperjerk systems
    hidden attractors
    adaptive control
    backstepping control
    circuit design
    Opis:
    A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.
    Źródło:
    Archives of Control Sciences; 2018, 28, 2; 239-254
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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 chaotic system with axe-shaped equilibrium, its circuit implementation and adaptive synchronization
    Autorzy:
    Vaidyanathan, S.
    Sambas, A.
    Mamat, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/230023.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    curve equilibrium
    Lyapunov exponents
    circuit design
    synchronization
    Opis:
    In the recent years, chaotic systems with uncountable equilibrium points such as chaotic systems with line equilibrium and curve equilibrium have been studied well in the literature. This reports a new 3-D chaotic system with an axe-shaped curve of equilibrium points. Dynamics of the chaotic system with the axe-shaped equilibrium has been studied by using phase plots, bifurcation diagram, Lyapunov exponents and Lyapunov dimension. Furthermore, an electronic circuit implementation of the new chaotic system with axe-shaped equilibrium has been designed to check its feasibility. As a control application, we report results for the synchronization of the new system possessing an axe-shaped curve of equilibrium points.
    Źródło:
    Archives of Control Sciences; 2018, 28, 3; 443-462
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation
    Autorzy:
    Vaidyanathan, Sundarapandian
    Moroz, Irene M.
    Sambas, Aceng
    Powiązania:
    https://bibliotekanauki.pl/articles/229944.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    chaos
    chaotic systems
    hidden attractors
    sliding mode control
    circuit design
    synchronization
    Opis:
    A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system is carried out with bifurcation transition diagrams, multistability analysis, period-doubling bubbles and offset boosting analysis. Using Integral Sliding Mode Control (ISMC), global hyperchaos synchronization results of the new hyperchaotic system are described in detail. Furthermore, an electronic circuit realization of the new hyperchaotic system has been simulated in MultiSim software version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB.
    Źródło:
    Archives of Control Sciences; 2020, 30, 3; 575-597
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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