Temat: discrete fractional state-space systems

Skocz do pozycji: 1.

Tytuł:: Fractional Kalman Filter algorithms for correlated system and measurement noises
Autorzy:: Sierociuk, D.
Tematy:: fractional order calculus
discrete fractional state-space systems
fractional Kalman filter; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/206137.pdf Link otwiera się w nowym oknie
Opis:: The paper presents a generalization of the Fractional Kalman Filter to a case when correlated system and measurement noises appear. The algorithm proposed is derived in detail for a linear generalized discrete fractional order state-space system for both constant and variable order cases. In order to present the efficiency of the proposed algorithm, results of numerical simulations are presented. Results of numerical experiments are compared with the effect of estimation obtained when using the traditional Fractional Kalman Filter algorithm.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Controllability and observability of linear discrete-time fractional-order systems
Autorzy:: Guermah, S.
Djennoune, S.
Bettayeb, M.
Tematy:: modelowanie systemu
osiągalność
gramian sterowalności
gramian obserwowalności
system modeling
discrete fractional state-space systems
reachability
controllability and observability gramians; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/907951.pdf Link otwiera się w nowym oknie
Opis:: In this paper we extend some basic results on the controllability and observability of linear discrete-time fractional-order systems. For both of these fundamental structural properties we establish some new concepts inherent to fractional-order systems and we develop new analytical methods for checking these properties. Numerical examples are presented to illustrate the theoretical results.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation
Autorzy:: Sierociuk, D.
Dzieliński, A.
Tematy:: przestrzeń fazowa
układ ułamkowy
filtr Kalmana
estymacja parametryczna
discrete fractional state-space systems
fractional Kalman filter
parameter estimation
order estimation
extended fractional Kalman filter; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908456.pdf Link otwiera się w nowym oknie
Opis:: This paper presents a generalization of the Kalman filter for linear and nonlinear fractional order discrete state-space systems. Linear and nonlinear discrete fractional order state-space systems are also introduced. The simplified kalman filter for the linear case is called the fractional Kalman filter and its nonlinear extension is named the extended fractional Kalman filter. The background and motivations for using such techniques are given, and some algorithms are discussed. The paper also shows a simple numerical example of linear state estimation. Finally, as an example of nonlinear estimation, the paper discusses the possibility of using these algorithms for parameters and fractional order estimation for fractional order systems. Numerical examples of the use of these algorithms in a general nonlinear case are presented.
Dostawca treści:: Biblioteka Nauki

Artykuł

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