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    Wyświetlanie 1-4 z 4
    Tytuł:
    State estimation for miso non-linear systems in controller canonical form
    Autorzy:
    Schwaller, B.
    Ensminger, D.
    Dresp-Langley, B.
    Ragot, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/331350.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear system
    state observer
    continuous time
    układ nieliniowy
    obserwator stanu
    układ ciągły
    Opis:
    We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 569-583
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    State estimation for a class of nonlinear systems
    Autorzy:
    Schwaller, B.
    Ensminger, D.
    Dresp-Langley, B.
    Ragot, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/330611.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear system
    state observer
    continuous time
    układ nieliniowy
    obserwator stanu
    układ ciągły
    Opis:
    We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of non-linearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin’s damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 383-394
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear system identification using heterogeneous multiple models
    Autorzy:
    Orjuela, R.
    Marx, B.
    Ragot, J.
    Maquin, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/330794.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonlinear system identification
    multiple model
    heterogeneous submodel
    układ nieliniowy
    model wielokrotny
    podmodel heterogeniczny
    Opis:
    Multiple models are recognised by their abilities to accurately describe nonlinear dynamic behaviours of a wide variety of nonlinear systems with a tractable model in control engineering problems. Multiple models are built by the interpolation of a set of submodels according to a particular aggregation mechanism, with the heterogeneous multiple model being of particular interest. This multiple model is characterized by the use of heterogeneous submodels in the sense that their state spaces are not the same and consequently they can be of various dimensions. Thanks to this feature, the complexity of the submodels can be well adapted to that of the nonlinear system introducing flexibility and generality in the modelling stage. This paper deals with off-line identification of nonlinear systems based on heterogeneous multiple models. Three optimisation criteria (global, local and combined) are investigated to obtain the submodel parameters according to the expected modelling performances. Particular attention is paid to the potential problems encountered in the identification procedure with a special focus on an undesirable phenomenon called the no output tracking effect. The origin of this difficulty is explained and an effective solution is suggested to overcome this problem in the identification task. The abilities of the model are finally illustrated via relevant identification examples showing the effectiveness of the proposed methods.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 103-115
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An adaptive observer design approach for a class of discrete-time nonlinear systems
    Autorzy:
    Srinivasarengan, K.
    Ragot, J.
    Aubrun, C.
    Maquin, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/330844.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    adaptive observer
    joint state estimation
    parameter estimation
    Takagi-Sugeno model
    time-varying parameter estimation
    sector nonlinearity transformation
    discrete-time nonlinear systems
    obserwator adaptacyjny
    identyfikacja parametrów
    model Takagi-Sugeno
    transformacja nieliniowa
    dyskretny układ nieliniowy
    Opis:
    We consider the problem of joint estimation of states and some constant parameters for a class of nonlinear discrete-time systems. This class contains systems that could be transformed into a quasi-LPV (linear parameter varying) polytopic model in the Takagi–Sugeno (T–S) form. Such systems could have unmeasured premise variables, a case usually overlooked in the observer design literature. We assert that, for such systems in discrete-time, the current literature lacks design strategies for joint state and parameter estimation. To this end, we adapt the existing literature on continuous-time linear systems for joint state and time-varying parameter estimation. We first develop the discrete-time version of this result for linear systems. A Lyapunov approach is used to illustrate stability, and bounds for the estimation error are obtained via the bounded real lemma. We use this result to achieve our objective for a design procedure for a class of nonlinear systems with constant parameters. This results in less conservative conditions and a simplified design procedure. A basic waste water treatment plant simulation example is discussed to illustrate the design procedure.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 55-67
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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