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    Wyświetlanie 1-7 z 7
    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:
    New fault tolerant control strategies for nonlinear Takagi-Sugeno systems
    Autorzy:
    Ichalal, D.
    Marx, B.
    Ragot, J.
    Maquin, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/331456.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model Takagi-Sugeno
    sterowanie tolerujące uszkodzenia
    uszkodzenie równoczesne
    estymacja stanu
    twierdzenie Lapunowa
    Takagi-Sugeno model
    fault tolerant control
    simultaneous fault
    state estimation
    Polya's theorem
    Lyapunov theory
    input to state stability
    Opis:
    New methodologies for Fault Tolerant Control (FTC) are proposed in order to compensate actuator faults in nonlinear systems. These approaches are based on the representation of the nonlinear system by a Takagi-Sugeno model. Two control laws are proposed requiring simultaneous estimation of the system states and of the occurring actuator faults. The first approach concerns the stabilization problem in the presence of actuator faults. In the second, the system state is forced to track a reference trajectory even in faulty situation. The control performance depends on the estimation quality; indeed, it is important to accurately and rapidly estimate the states and the faults. This task is then performed with an Adaptive Fast State and Fault Observer (AFSFO) for the first case, and a Proportional-Integral Observer (PIO) in the second. Stability conditions are established with Lyapunov theory and expressed in a Linear Matrix Inequality (LMI) formulation to ease the design of FTC. Furthermore, relaxed stability conditions are given with the use of Polya's theorem. Some simulation examples are given in order to illustrate the proposed approaches.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 197-210
    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
    Tytuł:
    Fault detection and isolation with robust principal component analysis
    Autorzy:
    Tharrault, Y.
    Mourot, G.
    Ragot, J.
    Maquin, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/929927.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    analiza głównych składowych
    odporność
    detekcja uszkodzeń
    lokalizacja uszkodzeń
    principal component analysis
    robustness
    outliers
    fault detection
    fault isolation
    structured residual vector
    variable reconstruction
    Opis:
    Principal component analysis (PCA) is a powerful fault detection and isolation method. However, the classical PCA, which is based on the estimation of the sample mean and covariance matrix of the data, is very sensitive to outliers in the training data set. Usually robust principal component analysis is applied to remove the effect of outliers on the PCA model. In this paper, a fast two-step algorithm is proposed. First, the objective was to find an accurate estimate of the covariance matrix of the data so that a PCA model might be developed that could then be used for fault detection and isolation. A very simple estimate derived from a one-step weighted variance-covariance estimate is used (Ruiz-Gazen, 1996). This is a 'local' matrix of variance which tends to emphasize the contribution of close observations in comparison with distant observations (outliers). Second, structured residuals are used for multiple fault detection and isolation. These structured residuals are based on the reconstruction principle, and the existence condition of such residuals is used to determine the detectable faults and the isolable faults. The proposed scheme avoids the combinatorial explosion of faulty scenarios related to multiple faults to be considered. Then, this procedure for outliers detection and isolation is successfully applied to an example with multiple faults.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 429-442
    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:
    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
    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
      Wyświetlanie 1-7 z 7

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