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    Wyświetlanie 1-7 z 7
    Tytuł:
    Fuzzy Predictive Control of Fractional-Order Nonlinear Discrete-Time Systems
    Autorzy:
    Domek, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/387296.pdf
    Data publikacji:
    2011
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    model
    sterowanie
    system dyskretno-czasowy
    discrete-time systems
    control
    Opis:
    At the end of the 19th century Liouville and Riemann introduced the notion of a fractional-order derivative, and in the latter half of the 20th century the concept of the so-called Grünewald-Letnikov fractional-order discrete difference has been put forward. In the paper a predictive controller for MIMO fractional-order discrete-time systems is proposed, and then the concept is extended to nonlinear processes that can be modelled by Takagi-Sugeno fuzzy models. At first nonlinear and linear fractional-order discrete-time dynamical models are described. Then a generalized nonlinear fractional-order TS fuzzy model is defined, for which equations of a predictive controller are derived.
    Źródło:
    Acta Mechanica et Automatica; 2011, 5, 2; 23-26
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Reduction and Decomposition of Singular Fractional Discrete-Time Linear Systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/386227.pdf
    Data publikacji:
    2011
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    redukcja
    system dyskretno-czasowy
    system liniowy
    reduction
    discrete-time systems
    linear systems
    Opis:
    Reduction of singular fractional systems to standard fractional systems and decomposition of singular fractional discrete-time linear systems into dynamic and static parts are addressed. It is shown that if the pencil of singular fractional linear discrete-time system is regular then the singular system can be reduced to standard one and it can be decomposed into dynamic and static parts The proposed procedures are based on modified version of the shuffle algorithm and illustrated by numerical examples.
    Źródło:
    Acta Mechanica et Automatica; 2011, 5, 4; 62-66
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of the output deviation norm for uncertain, discrete-time nonlinear systems in a state dependent form
    Autorzy:
    Orłowski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/929824.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system niepewny
    system dyskretno-czasowy
    system nieliniowy
    uncertain systems
    uncertain estimates
    discrete-time systems
    nonlinear systems
    Opis:
    Numerical evaluation of the optimal nonlinear robust control requires estimating the impact of parameter uncertainties on the system output. The main goal of the paper is to propose a method for estimating the norm of an output trajectory deviation from the nominal trajectory for nonlinear uncertain, discrete-time systems. The measure of the deviation allows us to evaluate the robustness of any designed controller. The first part of the paper concerns uncertainty modelling for nonlinear systems given in the state space dependent form. The method for numerical estimation of the maximal norm of the output trajectory deviation with applications to robust control synthesis is proposed based on the introduced three-term additive uncertainty model. Theoretical deliberations are complemented with a numerical, water-tank system example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 505-513
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Simple stable discrete-time generalised predictive control with anticipated filtration of control error
    Autorzy:
    Kowalczuk, Z.
    Suchomski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/206013.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie predykcyjne
    synteza systemu sterowania
    system dyskretno-czasowy
    discrete-time systems
    non-minimal systems
    predictive control
    system design
    Opis:
    It is shown that under some specific conditions, the solution of the generalised predictive control (GPC) design using the concept of anticipated filtering (AF) of the control error always exists, and that such a design leads to stable control systems with definite closed-loop characteristics. The plant cancellation issue is taken into account, and it is demonstrated that certain bounds on GPC design parameters have to be considered. An iterative procedure for simultaneous determination of the three basic design-tuning parameters: the control horizon, the controller gain, and the order of plant cancellation, is also supplied. An important feature of this approach is that the anticipated filtering makes it possible to reduce a disagreeable control effort associated with GPC and to make the [lambda]-tuning mechanism practicable. The bounds on the GPC design parameters are discussed, and certain optimal tuning rules are proposed and validated via simulated experiments.
    Źródło:
    Control and Cybernetics; 2002, 31, 1; 17-41
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Positive partial realization problem for linear discrete-time systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/929624.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system dodatni
    istnienie
    obliczanie
    system liniowy
    system dyskretno-czasowy
    positive systems
    partial realization
    existence
    computation
    linear system
    discrete-time systems
    Opis:
    A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 165-171
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerically robust synthesis of discrete-time H[infinity] estimators based on dual J-lossless factorisations
    Autorzy:
    Suchomski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970576.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    system dyskretno-czasowy
    estymacja
    filtr liniowy
    równanie Riccatiego
    metody numeryczne
    discrete-time systems
    state estimation
    linear filters
    Riccati equation
    numerical methods
    Opis:
    An approach to the numerically reliable synthesis of the H[infinity] suboptimal state estimators for discretised continuous-time processes is presented. The approach is based on suitable dual J-lossless factorisations of chain-scattering representations of estimated processes. It is demonstrated that for a sufficiently small sampling period the standard forward shift operator techniques may become ill-conditioned and numerical robustness of the design procedures can be significantly improved by employing the so-called delta operator models of the process. State-space models of all H[infinity] sub-optimal estimators are obtained by considering the suitable delta-domain algebraic Riccati equation and the corresponding generalised eigenproblem formulation. A relative condition number of this equation is used as a measure of its numerical conditioning. Both regular problems concerning models having no zeros on the boundary of the delta-domain stability region and irregular (non-standard) problems of models with such zeros are examined. For the first case, an approach based on a dual J-lossless factorisation is proposed while in the second case an extended dual J-lossless factorisation based on a zero compensator technique s required. Two numerical examples are given to illustrate some properties of the considered delta-domain approach.
    Źródło:
    Control and Cybernetics; 2003, 32, 4; 761-802
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Novel optimal recursive filter for state and fault estimation of linear stochastic systems with unknown disturbances
    Autorzy:
    Khémiri, K.
    Ben Hmida, F.
    Ragot, J.
    Gossa, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/930170.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    filtracja Kalmana
    estymacja stanu
    zakłócenie nieznane
    system liniowy
    system dyskretno-czasowy
    Kalman filtering
    minimum variance estimation
    state estimation
    fault estimation
    unknown disturbances
    linear discrete time systems
    Opis:
    This paper studies recursive optimal filtering as well as robust fault and state estimation for linear stochastic systems with unknown disturbances. It proposes a new recursive optimal filter structure with transformation of the original system. This transformation is based on the singular value decomposition of the direct feedthrough matrix distribution of the fault which is assumed to be of arbitrary rank. The resulting filter is optimal in the sense of the unbiased minimum-variance criteria. Two numerical examples are given in order to illustrate the proposed method, in particular to solve the estimation of the simultaneous actuator and sensor fault problem and to make a comparison with the existing literature results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 629-637
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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