Robust Extended Kalman Filtering for Nonlinear Systems With Stochastic Uncertainties

被引:144
|
作者
Kai, Xiong [1 ]
Wei, Chunling [1 ]
Liu, Liangdong [1 ]
机构
[1] Beijing Inst Control Engn, Natl Lab Space Intelligent Control, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlinear estimation; nonlinear uncertain system; pulsar positioning system; robust extended Kalman filter (REKF); X-RAY PULSARS; H-INFINITY; NAVIGATION; TRACKING; STATE;
D O I
10.1109/TSMCA.2009.2034836
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this correspondence paper, a novel robust extended Kalman filter (REKF) for discrete-time nonlinear systems with stochastic uncertainties is proposed. The filter is derived to guarantee an optimized upper bound on the state estimation error covariance despite the model uncertainties as well as the linearization errors. Further analysis shows that the proposed filter has robustness against process noises, measurement noises, and model uncertainties. In addition, the new method is applied in an X-ray pulsar positioning system. It is illustrated through numerical simulations that the REKF is more effective than the standard extended Kalman filter and the extended robust H(infinity) filter.
引用
收藏
页码:399 / 405
页数:7
相关论文
共 50 条
  • [21] Robust Kalman filtering for nonlinear multivariable stochastic systems in the presence of non-Gaussian noise
    Stojanovic, Vladimir
    Nedic, Novak
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (03) : 445 - 460
  • [22] Robust stochastic integration filtering for nonlinear systems under multivariate t-distributed uncertainties
    Khalid, Syed Safwan
    Rehrnan, Naveed Ur
    Abrar, Shafayat
    SIGNAL PROCESSING, 2017, 140 : 53 - 59
  • [23] Robust exponential filtering for uncertain systems with stochastic and polytopic uncertainties
    Subramanian, A
    Sayed, AH
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 1023 - 1027
  • [24] Adaptive variational Bayesian extended Kalman filtering for nonlinear systems
    Xu, Ding-jie
    Shen, Chen
    Shen, Feng
    2013 THIRD INTERNATIONAL CONFERENCE ON INSTRUMENTATION & MEASUREMENT, COMPUTER, COMMUNICATION AND CONTROL (IMCCC), 2013, : 1552 - 1557
  • [25] Robust Kalman Filtering for Discrete-Time Time-Varying Systems With Stochastic and Norm-Bounded Uncertainties
    Abolhasani, Mahdi
    Rahmani, Mehdi
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2018, 140 (03):
  • [26] Robust Kalman Filtering for Discrete-Time Uncertain Stochastic Systems
    George, Jemin
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 2466 - 2471
  • [27] An unknown input extended Kalman filter for nonlinear stochastic systems
    Meyer, Luc
    Ichalal, Dalil
    Vigneron, Vincent
    EUROPEAN JOURNAL OF CONTROL, 2020, 56 : 51 - 61
  • [28] Robust filtering for systems with stochastic non-linearities and deterministic uncertainties
    Wang, Zidong
    Yang, Fuwen
    Liu, Xiaohui
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2006, 220 (I3) : 171 - 182
  • [29] Robust steady-state filtering for systems with deterministic and stochastic uncertainties
    Wang, F
    Balakrishnan, V
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2003, 51 (10) : 2550 - 2558
  • [30] Extended state observer for MIMO nonlinear systems with stochastic uncertainties
    Wu, Ze-Hao
    Guo, Bao-Zhu
    INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (03) : 424 - 436