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    Wyświetlanie 1-4 z 4
    Tytuł:
    Robust controlled positive delayed systems with interval parameter uncertainties: A delay uniform decomposition approach
    Autorzy:
    Elloumi, W.
    Mehdi, D.
    Chaabane, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330766.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    delay system
    robust stabilization
    positive system
    parametric constraints
    delay decomposition
    LMIs
    układ z opóźnieniem
    stabilizacja odporna
    układ dodatni
    ograniczenia parametryczne
    Opis:
    This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov–Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of linear matrix inequalities. The efficiency of the proposed robust control laws is illustrated with via an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 441-450
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A characterization of stability and sensitivity properties for state-constrained optimal control
    Autorzy:
    Malanowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/970245.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie optymalne
    optimal control
    nonlinear ODEs
    state constraints
    parametric problems
    stability and sensitivity analysis
    Opis:
    In a series of the recent papers of the author, it was shown that the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lipschitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those conditions are not only sufficient, but also necessary. Thus, they consitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
    Źródło:
    Control and Cybernetics; 2007, 36, 3; 711-726
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust output regulation of uncertain chaotic systems with input magnitude and rate constraints
    Autorzy:
    Velosa, C. M. N.
    Bousson, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/386885.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    output regulation
    actuator constraints
    parametric uncertainties
    robust control
    chaos
    aeroelastic system
    regulacja mocy
    niepewność parametryczna
    układ aeroelastyczny
    Opis:
    The problem of output regulation deserves a special attention particularly when it comes to the regulation of nonlinear systems. It is well-known that the problem is not always solvable even for linear systems and the fact that some demanding applications require not only magnitude but also rate actuator constraints makes the problem even more challenging. In addition, real physical systems might have parameters whose values can be known only with a specified accuracy and these uncertainties must also be considered to ensure robustness and on the other hand because they can be crucial for the type of behaviour exhibited by the system as it happens with the celebrated chaotic systems. The present paper proposes a robust control method for output regulation of chaotic systems with parameter uncertainties and subjected to magnitude and rate actuator constraints. The method is an extension of a work recently addressed by the same authors and consists in decomposing the nonlinear system into a stabilizable linear part plus a nonlinear part and in finding a control law based on the small-gain principle. Numerical simulations are performed to validate the effectiveness and robustness of the method using an aeronautical application. The output regulation is successfully achieved without exceeding the input constraints and stability is assured when the parameters are within the specified intervals. Furthermore, the proposed method does not require much computational effort because all the control parameters are computed offline.
    Źródło:
    Acta Mechanica et Automatica; 2015, 9, 4; 252-258
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of the classical implicit function theorem in sensitivity analysis of parametric optimal control
    Autorzy:
    Malanowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/206654.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    równania różniczkowe nieliniowe
    różniczkowalność rozwiązań
    sterowanie optymalne parametryczne
    differentiability of solutions
    implicit function theorem
    nonlinear ordinary differential equations
    parametric optimal control
    state constraints
    Opis:
    A family {(O[sub h])} of parametric optimal control problems for nonlinear ODEs is considered. The problems are subject to pointwise inequality type state constraints. It is assumed that the reference solution is regular. The original problems (O[sub h]) are substituted by problems [...] subject to equality type constraints with the sets of activity depending on the parameter. Using the classical implicit function theorem, conditions are derived under which stationary points of [...] are Frechet differentiable functions of the parameter. It is shown that, under additional conditions, the stationary points of [...] correspond to the solutions and Lagrange multipliers of (O[sub h]9).
    Źródło:
    Control and Cybernetics; 1998, 27, 3; 335-352
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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