Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements

被引：21

作者：

Sierociuk, Dominik ^{[1
]}

Macias, Michal ^{[1
]}

Malesza, Wiktor ^{[1
]}

Sarwas, Grzegorz ^{[1
]}

机构：

[1] Warsaw Univ Technol, Inst Control & Ind Elect, Koszykowa 75, PL-00662 Warsaw, Poland

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2016年 / 35卷 / 06期

关键词：

Fractional calculus; Variable order derivative; Analog model; Estimation; Kalman filter; SYSTEMS;

D O I：

10.1007/s00034-016-0255-1

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The paper is devoted to variable order estimation process when measurements are obtained in two different ways: directly and by lossy network. Since the problem of fractional order estimation is highly nonlinear, dual estimation algorithm based on Unscented Fractional Order Kalman filter has been used. In dual estimation process, state variable and order estimation have been divided into two sub-processes. For estimation state variables and variable fractional order, the Fractional Kalman filter and the Unscented Fractional Kalman filter have been used, respectively. The order estimation algorithms were applied to numerical examples and to real fractional variable order inertial system realized as an analog circuit.

引用

页码：2055 / 2082

页数：28

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