On the general Kalman filter for discrete time stochastic fractional systems

被引:32
|
作者
Sadeghian, Hoda [1 ]
Salarieh, Hassan [1 ]
Alasty, Aria [1 ]
Meghdari, Ali [1 ]
机构
[1] Sharif Univ Technol, Ctr Excellence Design Robot & Automat, Dept Mech Engn, Tehran, Iran
关键词
Kalman filter; Stochastic system; Fractional order system; CALCULUS;
D O I
10.1016/j.mechatronics.2013.02.006
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper the derivation of Kalman filter for discrete time-stochastic fractional system is investigated. Based on a novel cumulative vector form model for fractional systems, a general Kalman filter is introduced. The validity of the proposed method has been compared with a previously presented method via simulation results. It is shown that this method can be better applied for discrete time stochastic fractional systems with slower dynamics. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:764 / 771
页数:8
相关论文
共 50 条
  • [21] Robust Kalman Filter Design for Discrete Time-Delay Systems
    Xing Zhu
    Yeng Chai Soh
    Lihua Xie
    Circuits, Systems and Signal Processing, 2002, 21 : 319 - 335
  • [22] Robust Kalman Filter Design for Discrete Time-Delay Systems
    Irwin W. Sandberg
    Circuits, Systems and Signal Processing, 2002, 21 (3) : 337 - 343
  • [23] Robust Kalman Filter for Discrete-Time Systems With Correlated Noises
    Souto, Rodrigo Fontes
    Ishihara, Joao Yoshiyuki
    2008 MEDITERRANEAN CONFERENCE ON CONTROL AUTOMATION, VOLS 1-4, 2008, : 419 - 423
  • [24] Robust Kalman Filtering for Discrete-Time Uncertain Stochastic Systems
    George, Jemin
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 2466 - 2471
  • [25] Kalman Filter for Linear Fractional Order Systems
    Koh, Bong Su
    Junkins, John L.
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2012, 35 (06) : 1816 - 1827
  • [26] ROBUST KALMAN FILTER IN DISCRETE-TIME
    ERSHOV, AA
    LIPTSER, RS
    AUTOMATION AND REMOTE CONTROL, 1978, 39 (03) : 359 - 367
  • [27] DISCRETE-TIME COMPENSATED KALMAN FILTER
    LEE, WH
    ATHANS, M
    INTERNATIONAL JOURNAL OF CONTROL, 1979, 29 (02) : 293 - 311
  • [28] Equivalence of recursive three-step filter and infinity augmented Kalman filter for linear discrete-time stochastic systems with direct feedthrough
    Ding, Bo
    Zhang, Tianping
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (17): : 2696 - 2702
  • [29] Robust Fractional Embedded Cubature Kalman Filter for Fractional Nonlinear Stochastic System
    Jing Mu
    Feng Tian
    Changyuan Wang
    Wuqi Gao
    Jianlian Cheng
    International Journal of Control, Automation and Systems, 2022, 20 : 3549 - 3560
  • [30] Kalman Filter Based Iterative Learning Control for Discrete Time MIMO Systems
    Jayawardhana, Rangana N.
    Ghosh, Bijoy K.
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 2257 - 2264