Robust state estimation using desensitized Divided Difference Filter

被引:33
作者
Karlgaard, Christopher D. [1 ]
Shen, Haijun [1 ]
机构
[1] Analyt Mech Associates Inc, Hampton, VA 23666 USA
关键词
Robust filtering; Optimal filtering; Divided difference filtering; Parameter uncertainty; UNSCENTED KALMAN FILTER; COVARIANCE WHITE NOISES; DISCRETE-TIME-SYSTEMS; INDUCTION-MOTOR; NONLINEAR-SYSTEMS; OPTIMAL TRAJECTORIES; PARAMETER-ESTIMATION; VARYING SYSTEMS; RESISTANCE; ALGORITHM;
D O I
10.1016/j.isatra.2013.04.009
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper develops a robust divided difference filtering approach based on the concept of Desensitized Kalman Filtering. The filters are formulated using a minimum variance cost function, augmented with a penalty function consisting of a weighted norm of the state sensitivities. Solutions are provided for first and second-order Divided Difference Filters. The resulting filters are non-minimum variance but exhibit reduced sensitivity to deviations in the assumed plant model parameters. The proposed algorithms are demonstrated using Monte Carlo simulation techniques for an induction motor state estimation problem with parameter uncertainties. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:629 / 637
页数:9
相关论文
共 47 条
[1]   Simple derivative-free nonlinear state observer for sensorless AC drives [J].
Akin, Bilal ;
Orguner, Umut ;
Ersak, Aydin ;
Ehsani, Mehrdad .
IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2006, 11 (05) :634-643
[2]   Nonlinear model identification and adaptive model predictive control using neural networks [J].
Akpan, Vincent A. ;
Hassapis, George D. .
ISA TRANSACTIONS, 2011, 50 (02) :177-194
[3]   OBSERVERS FOR INDUCTION-MOTOR STATE AND PARAMETER-ESTIMATION [J].
ATKINSON, DJ ;
ACARNLEY, PP ;
FINCH, JW .
IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 1991, 27 (06) :1119-1127
[4]   Estimation of rotor resistance in induction motors [J].
Atkinson, DJ ;
Finch, JW ;
Acarnley, PP .
IEE PROCEEDINGS-ELECTRIC POWER APPLICATIONS, 1996, 143 (01) :87-94
[5]   Robust SDRE filter design for nonlinear uncertain systems with an H∞ performance criterion [J].
Beikzadeh, Hossein ;
Taghirad, Hamid D. .
ISA TRANSACTIONS, 2012, 51 (01) :146-152
[6]   Innovation sequence application to aircraft sensor fault detection: comparison of checking covariance matrix algorithms [J].
Caliskan, F ;
Hajiyev, CM .
ISA TRANSACTIONS, 2000, 39 (01) :47-56
[7]  
Crassidis J. L., 2004, OPTIMAL ESTIMATION D, P274
[8]   Finite-horizon robust Kalman filtering for uncertain discrete time-varying systems with uncertain-covariance white noises [J].
Dong, Zhe ;
You, Zheng .
IEEE SIGNAL PROCESSING LETTERS, 2006, 13 (08) :493-496
[9]   Full-order estimator for induction motor states and parameters [J].
Finch, JW ;
Atkinson, DJ ;
Acarnley, PP .
IEE PROCEEDINGS-ELECTRIC POWER APPLICATIONS, 1998, 145 (03) :169-179
[10]   The smooth variable structure filter [J].
Habibi, Saeid .
PROCEEDINGS OF THE IEEE, 2007, 95 (05) :1026-1059