Object structure

Title:

Fractional kalman filter algorithm for the states, parameters and order of fractional system estimation

Subtitle:

Soft Computing in Control and Fault Diagnosis

Group publication title:

AMCS, Volume 16 (2006)

Creator:

Sierociuk, Dominik ; Dzieliński, Andrzej

Subject and Keywords:

discrete fractional state-space systems ; fractional Kalman filter ; parameters estimation ; order estimation ; extended fractional Kalman filter

Abstract:

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 thelinear 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 alsoshows a simple numerical example of linear state estimation. Finally, as an example of nonlinear estimation, the paperdiscusses 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Contributor:

Korbicz, Józef - red.

Date:

2006

Resource Type:

artykuł

Pages:

129-140

Source:

AMCS, Volume 16, Number 1 (2006)

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego