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    Wyświetlanie 1-5 z 5
    Tytuł:
    A Stabilizing Control Law for Invariant Systems on Lie Groups
    Autorzy:
    Apostolou, N.
    Kazakos, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/911170.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ niezmienny
    grupa Liego
    sterowanie zamknięte
    invariant systems
    Lie groups
    stabilization
    feedback controller
    Opis:
    This paper deals with the stabilizability of invariant control systems defined on Lie groups. A stabilization technique is presented which, under certain hypotheses, can lead to a criterion assuring the existence of a feedback controller which steers every initial condition to a specified target point of the state space of these systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 273-282
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On an Invariant Design of Feedbacks for Bilinear Control Systems of Second Order
    Autorzy:
    Belozyorov, V. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/908334.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dwuliniowy układ sterowania
    układ niezmienny
    bilinear control systems
    invariant design
    asymptotic stability
    second-order system
    Opis:
    The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 377-389
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
    Autorzy:
    Si, Xindong
    Yang, Hongli
    Ivanov, Ivan G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838174.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional order nonlinear system
    constrained regulation
    positively invariant set
    linear programming
    układ nieliniowy
    zbiór dodatnio niezmienny
    programowanie liniowe
    Opis:
    The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
    Autorzy:
    Si, Xindong
    Yang, Hongli
    Ivanov, Ivan G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838194.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional order nonlinear system
    constrained regulation
    positively invariant set
    linear programming
    układ nieliniowy
    zbiór dodatnio niezmienny
    programowanie liniowe
    Opis:
    The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
    Autorzy:
    Si, Xindong
    Yang, Hongli
    Ivanov, Ivan G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838196.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional order nonlinear system
    constrained regulation
    positively invariant set
    linear programming
    układ nieliniowy
    zbiór dodatnio niezmienny
    programowanie liniowe
    Opis:
    The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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