State Estimation for Linear Constrained Systems with Unknown Input

被引:0
作者
Wen Chuanbo [1 ,2 ]
Cai Yunze [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Shanghai Dianji Univ, Coll Elect Engn, Shanghai 200240, Peoples R China
基金
上海市自然科学基金;
关键词
Constrained filtering; Estimate error covariance; Unknown input; Singular system; EQUALITY CONSTRAINTS; VEHICLE; FILTER;
D O I
暂无
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 paper deals with the filtering problem for linear discrete constrained dynamic systems with unknown input. The constraint matrix and constraint vector in this system are allowed to vary in the value and in the dimension. The original full state is separated into two parts, and the estimate of the state is reduced to find the optimal estimate of a singular system. The estimable condition is researched and a recursive estimator for the original full state is presented. A rigorous mathematical induction is given to compare the performance of our approach to that of the existing method without constraint. A numerical example is presented to demonstrate the effectiveness of the new method.
引用
收藏
页码:539 / 544
页数:6
相关论文
共 14 条
  • [1] Adaptive trajectory tracking despite unknown input delay and plant parameters
    Bresch-Pietri, Delphine
    Krstic, Miroslav
    [J]. AUTOMATICA, 2009, 45 (09) : 2074 - 2081
  • [2] Constrained filtering method for attitude determination using GPS and gyro
    Chiang, YT
    Wang, LS
    Chang, FR
    Peng, HM
    [J]. IEE PROCEEDINGS-RADAR SONAR AND NAVIGATION, 2002, 149 (05) : 258 - 264
  • [3] KALMAN FILTERING WITH UNKNOWN INPUTS VIA OPTIMAL STATE ESTIMATION OF SINGULAR SYSTEMS
    DAROUACH, M
    ZASADZINSKI, M
    ONANA, AB
    NOWAKOWSKI, S
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1995, 26 (10) : 2015 - 2028
  • [4] Darouach M., 1993, INT J SYST SCI, V1.24, P45
  • [5] The aiding of a low-cost strapdown inertial measurement unit using vehicle model constraints for land vehicle applications
    Dissanayake, G
    Sukkarieh, S
    Nebot, E
    Durrant-Whyte, H
    [J]. IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 2001, 17 (05): : 731 - 747
  • [6] Ge QB, 2011, CHINESE J ELECTRON, V20, P67
  • [7] A NOVEL-APPROACH TO THE DESIGN OF UNKNOWN INPUT OBSERVERS
    GUAN, Y
    SAIF, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (05) : 632 - 635
  • [8] A Robust Null Space Method for Linear Equality Constrained State Estimation
    Hewett, Russell J.
    Heath, Michael T.
    Butala, Mark D.
    Kamalabadi, Farzad
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (08) : 3961 - 3971
  • [9] State estimation for linear systems with state equality constraints
    Ko, Sangho
    Bitmead, Robert R.
    [J]. AUTOMATICA, 2007, 43 (08) : 1363 - 1368
  • [10] Multitarget State Extraction for the PHD Filter using MCMC Approach
    Liu, Weifeng
    Han, Chongzhao
    Lian, Feng
    Zhu, Hongyan
    [J]. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2010, 46 (02) : 864 - 883