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Wyszukujesz frazę "robust stability" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Robust stability of convex combination of two fractional degree characteristic polynomials
    Autorzy:
    Busłowicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/386931.pdf
    Data publikacji:
    2008
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    kombinacja wypukła wielomianów
    stabilność
    sterowanie odporne
    robust stability
    convex combination of polynomials
    Opis:
    The paper considers the problem of robust stability of convex combination of two fractional degree characteristic polynomials. This problem is equivalent to the problem of robust stability of linear continuous-time fractional systems with characteristic polynomial linearly dependent on one uncertain parameter. Frequency domain methods for robust stability analysis of such a combination are given. The methods proposed are based on the Zero Exclusion Condition known from the theory of robust stability of families of natural degree polynomials. The considerations are illustrated by numerical example.
    Źródło:
    Acta Mechanica et Automatica; 2008, 2, 2; 5-10
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability and stabilizability of a class of uncertain dynamical systems with delays
    Autorzy:
    Saadni, M. S.
    Chaabane, M.
    Mehdi, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/908527.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dynamiczny
    opóźnienie czasowe
    sterowanie odporne
    dynamical systems
    time-varying delays
    time-varying uncertainty
    norm-bounded robust stability
    robust stabilizability
    Opis:
    This paper deals with a class of uncertain systems with time-varying delays and norm-bounded uncertainty. The stability and stabilizability of this class of systems are considered. LinearMatrix Inequalities (LMI) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 321-329
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Verification techniques for sensitivity analysis and design of controllers for nonlinear dynamic systems with uncertainties
    Autorzy:
    Rauh, A.
    Minisini, J.
    Hofer, E. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/930112.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    arytmetyka przedziałowa
    analiza osiągalności
    sterowanie odporne
    interval arithmetic
    reachability analysis
    observability analysis
    robust stability
    model-based design of optimal controllers
    Opis:
    Control strategies for nonlinear dynamical systems often make use of special system properties, which are, for example, differential flatness or exact input-output as well as input-to-state linearizability. However, approaches using these properties are unavoidably limited to specific classes of mathematical models. To generalize design procedures and to account for parameter uncertainties as well as modeling errors, an interval arithmetic approach for verified simulation of continuoustime dynamical system models is extended. These extensions are the synthesis, sensitivity analysis, and optimization of open-loop and closed-loop controllers. In addition to the calculation of guaranteed enclosures of the sets of all reachable states, interval arithmetic routines have been developed which verify the controllability and observability of the states of uncertain dynamic systems. Furthermore, they assure asymptotic stability of controlled systems for all possible operating conditions. Based on these results, techniques for trajectory planning can be developed which determine reference signals for linear and nonlinear controllers. For that purpose, limitations of the control variables are taken into account as further constraints. Due to the use of interval techniques, issues of the functionality, robustness, and safety of dynamic systems can be treated in a unified design approach. The presented algorithms are demonstrated for a nonlinear uncertain model of biological wastewater treatment plants.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 425-439
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems
    Autorzy:
    Duan, R.
    Li, J.
    Zhang, Y.
    Yang, Y.
    Chen, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/331173.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    discrete T–S fuzzy hyperbolic model
    parallel distributed compensation
    positive diagonally dominant matrices
    robust stability
    model Takagi-Sugeno
    kompensacja rozproszona
    sterowanie odporne
    Opis:
    This paper focuses on the problem of constraint control for a class of discrete-time nonlinear systems. Firstly, a new discrete T–S fuzzy hyperbolic model is proposed to represent a class of discrete-time nonlinear systems. By means of the parallel distributed compensation (PDC) method, a novel asymptotic stabilizing control law with the “soft” constraint property is designed. The main advantage is that the proposed control method may achieve a small control amplitude. Secondly, for an uncertain discrete T–S fuzzy hyperbolic system with external disturbances, by the proposed control method, the robust stability and H∞ performance are developed by using a Lyapunov function, and some sufficient conditions are established through seeking feasible solutions of some linear matrix inequalities (LMIs) to obtain several positive diagonally dominant (PDD) matrices. Finally, the validity and feasibility of the proposed schemes are demonstrated by a numerical example and a Van de Vusse one, and some comparisons of the discrete T–S fuzzy hyperbolic model with the discrete T–S fuzzy linear one are also given to illustrate the advantage of our approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 1; 133-145
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Further results on robust fuzzy dynamic systems with LMI D-stability constraints
    Autorzy:
    Assawinchaichote, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/331041.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fuzzy controller
    robust control
    LMI approach
    D-stability
    Takagi-Sugeno fuzzy model
    regulator rozmyty
    sterowanie odporne
    stabilność
    model Takagi-Sugeno
    Opis:
    This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is described by a Takagi–Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 785-794
    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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