Convergence analysis of non-linear filtering based on cubature Kalman filter

被引:49
作者
Zarei, Jafar [1 ]
Shokri, Ehsan [1 ]
机构
[1] Shiraz Univ Technol, Sch Elect & Elect Engn, Dept Control Engn, Shiraz, Iran
关键词
FAULT-DETECTION; OBSERVER; DESIGN;
D O I
10.1049/iet-smt.2014.0056
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
This study analyses the stability of cubature Kalman filter (CKF) for non-linear systems with linear measurement. The certain conditions to ensure that the estimation error of the CKF remains bounded are proved. Then, the effect of process noise covariance is investigated and an adaptive process noise covariance is proposed to deal with large estimation error. Since adaptation law has a very important role in convergence, fuzzy logic is proposed to improve the versatility of the proposed adaptive noise covariance. Accordingly, a modified CKF (MCKF) is developed to enhance the stability and accuracy of state estimation. The performance of the modified CKF is compared to the CKF in two case studies. Simulation results demonstrate that the large estimation error may lead to instability of CKF, while the MCKF is successfully able to estimate the states. In addition, the superiority of MCKF that uses fuzzy adaptation rules is shown.
引用
收藏
页码:294 / 305
页数:12
相关论文
共 31 条
[1]   Strapdown inertial navigation system/astronavigation system data synthesis using innovation-based fuzzy adaptive Kalman filtering [J].
Ali, J. .
IET SCIENCE MEASUREMENT & TECHNOLOGY, 2010, 4 (05) :246-255
[2]   Cubature Kalman smoothers [J].
Arasaratnam, Ienkaran ;
Haykin, Simon .
AUTOMATICA, 2011, 47 (10) :2245-2250
[3]   Cubature Kalman Filters [J].
Arasaratnam, Ienkaran ;
Haykin, Simon .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (06) :1254-1269
[4]   Square-Root Cubature-Quadrature Kalman Filter [J].
Bhaumik, Shovan ;
Swati .
ASIAN JOURNAL OF CONTROL, 2014, 16 (02) :617-622
[5]   On the parameterization and design of an extended Kalman filter frequency tracker [J].
Bittanti, S ;
Savaresi, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (09) :1718-1724
[6]   Braided extended Kalman filters for sensorless estimation in induction motors at high-low/zero speed [J].
Bogosyan, S. ;
Barut, M. ;
Gokasan, M. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04) :987-998
[7]   Convergence analysis of the extended Kalman filter used as an observer for nonlinear deterministic discrete-time systems [J].
Boutayeb, M ;
Rafaralahy, H ;
Darouach, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (04) :581-586
[8]   A strong tracking extended Kalman observer for nonlinear discrete-time systems [J].
Boutayeb, M ;
Aubry, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) :1550-1556
[9]  
Busse F. D., 2003, Navigation. Journal of the Institute of Navigation, V50, P79
[10]   Square Root Cubature Information Filter [J].
Chandra, Kumar Pakki Bharani ;
Gu, Da-Wei ;
Postlethwaite, Ian .
IEEE SENSORS JOURNAL, 2013, 13 (02) :750-758