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    Wyświetlanie 1-3 z 3
    Tytuł:
    State estimators and observers for continuous and discrete linear systems. Part 1. Differential asymptotic state estimators
    Autorzy:
    Byrski, J.
    Byrski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/93134.pdf
    Data publikacji:
    2018
    Wydawca:
    Państwowa Wyższa Szkoła Zawodowa w Tarnowie
    Tematy:
    linear estimator
    Kalman filter
    Luenberger observer
    exact state observer
    linear system
    estymator liniowy
    filtr Kalmana
    obserwator Luenbergera
    dokładny obserwator stanu
    system liniowy
    Opis:
    In the paper an overview of state estimators and state observers used in linear systems, will be presented. The state estimators and observers can be used in many applications like the state reconstruction for the control purposes or for the diagnosis and fault detection in technical processes or for the virtual measurements of inaccessible variables of the system as well as for the best filtration of the differential equation solution. As the standard most commonly the Kalman filter and Luenberger type observers are used. Although the Kalman filter guarantees optimal filtering quality of the state, reconstructed from the noisy measurements, both Kalman filter and the Luenberger observer guarantee only asymptotic quality of the real state changes and tracking, basing on the current measurements of the system output and input signals. Unfortunately, the value of the estimation error at any moment of time cannot be calculated. The discussion on differences between continuous and two types of discrete Kalman Filter will be presented. This paper is planned to be the introduction to presentation of another type of the state observers which have the structure given by the integral operators. Based on measurements of the system output and input signals on some predefined finite time interval, they can reconstruct, after this interval, the observed state exactly.
    Źródło:
    Science, Technology and Innovation; 2018, 3, 2; 62-68
    2544-9125
    Pojawia się w:
    Science, Technology and Innovation
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    State estimators and observers for continuous and discrete linear systems. Part 2. Integral observers for exact state reconstruction
    Autorzy:
    Byrski, Jędrzej
    Byrski, Witold
    Powiązania:
    https://bibliotekanauki.pl/articles/93152.pdf
    Data publikacji:
    2019
    Wydawca:
    Państwowa Wyższa Szkoła Zawodowa w Tarnowie
    Tematy:
    exact state observer
    linear system
    state observer with minimal norm
    dokładny obserwator stanu
    układ liniowy
    obserwator stanu z minimalną normą
    Opis:
    In the paper, the exact state observers will be presented. The state estimators and observers can be used in technical processes for many purposes like the fault detection and diagnosis, the implementation of the state controllers, and soft reconstruction of inaccessible for measurements variables of the system. As the standard, for continuous systems the differential estimators of Kalman filter or Luenberger type observer are commonly used. However, if the initial conditions of the real state are unknown, both estimators guarantee only an asymptotic quality of the real state tracking. The paper presents another type of the state observers, which for continuous system have the structure given by two integral operators. Based on measurements of the system input and output signals on some predefined finite time interval T, they can reconstruct the initial state exactly. In on-line version, the exact state reconstruction is performed continuously for every t, based on special procedure executed within two moving windows of width T, on sliding time interval [t-T, t].
    Źródło:
    Science, Technology and Innovation; 2019, 5, 2; 23-33
    2544-9125
    Pojawia się w:
    Science, Technology and Innovation
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A double window state observer for detection and isolation of abrupt changes in parameters
    Autorzy:
    Byrski, J.
    Byrski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/330142.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault detection
    fault isolation
    exact state observer
    parameter abrupt changes
    derivative reconstruction
    linear continuous system
    detekcja uszkodzeń
    lokalizacja uszkodzeń
    dokładny obserwator stanu
    układ ciągły liniowy
    Opis:
    The paper presents a new method for diagnosis of a process fault which takes the form of an abrupt change in some real parameter of a time-continuous linear system. The abrupt fault in the process real parameter is reflected in step changes in many parameters of the input/output model as well as in step changes in canonical state variables of the system. Detection of these state changes will enable localization of the faulty parameter in the system. For detecting state changes, a special type of exact state observer will be used. The canonical state will be represented by the derivatives of the measured output signal. Hence the exact state observer will play the role of virtual sensors for reconstruction of the derivatives of the output signal. For designing the exact state observer, the model parameters before and after the moment of fault occurrence must be known. To this end, a special identification method with modulating functions will be used. A novel concept presented in this paper concerns the structure of the observer. It will take the form of a double moving window observer which consists of two signal processing windows, each of width T . These windows are coupled to each other with a common edge. The right-hand side edge of the left-side moving window in the interval [t − 2T, t − T ] is connected to the left-hand side edge of the right-side window which operates in the interval [t − T, t]. The double observer uses different measurements of input/output signals in both the windows, and for each current time t simultaneously reconstructs two values of the state—the final value of the state in the left-side window zT (t − T ) and the initial value of the state z0(t − T ) in the right-side window. If the process parameters are constant, the values of both the states on the common joint edge are the same. If an abrupt change (fault) in some parameter at the moment tA = t − T occurs in the system, then step changes in some variables of the canonical state vector will also occur and the difference between the states will be detected. This will enable localization of the faulty parameter in the system.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 585-602
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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