On the observability of linear motion quantities in navigation systems

被引:42
作者
Batista, Pedro [1 ]
Silvestre, Carlos [1 ]
Oliveira, Paulo [1 ]
机构
[1] Inst Syst & Robot, Inst Super Tecn, P-1049001 Lisbon, Portugal
关键词
Linear time-varying systems; Observability; 3-D linear motion kinematics; Navigation systems; CONTROLLABILITY; FILTERS; POSITION; ATTITUDE; GPS/INS;
D O I
10.1016/j.sysconle.2010.11.002
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Navigation systems are a key element in a large variety of mobile platforms, where the correct knowledge of their position and attitude is essential in most applications. This paper focuses on the observability of linear motion quantities (position, linear velocity, linear acceleration, and accelerometer bias). It presents necessary and sufficient conditions, with a clear physical insight, for the observability of these variables in 3-D. The analysis provided is based on kinematic models, which are exact and intrinsic to the motion of a rigid-body, and different cases are presented depending on the assumptions made on the sensor suite that is available on-board. (c) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:101 / 110
页数:10
相关论文
共 21 条
[1]   UNIFORM COMPLETE CONTROLLABILITY FOR TIME-VARYING SYSTEMS [J].
ANDERSON, BD ;
SILVERMAN, LM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (06) :790-+
[2]   UNIFORM CONTROLLABILITY VIA THE LIMITING SYSTEMS [J].
ARTSTEIN, Z .
APPLIED MATHEMATICS AND OPTIMIZATION, 1982, 9 (02) :111-131
[3]   CONTROL THEORETIC APPROACH TO INERTIAL NAVIGATION SYSTEMS [J].
BARITZHACK, IY ;
BERMAN, N .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1988, 11 (03) :237-245
[4]   Sensor-based Complementary Globally Asymptotically Stable Filters for Attitude Estimation [J].
Batista, Pedro ;
Silvestre, Carlos ;
Oliveira, Paulo .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :7563-7568
[5]   Optimal position and velocity navigation filters for autonomous vehicles [J].
Batista, Pedro ;
Silvestre, Carlos ;
Oliveira, Paulo .
AUTOMATICA, 2010, 46 (04) :767-774
[6]   Necessary and sufficient conditions for the observability of linear motion quantities in strapdown navigation systems [J].
Batista, Pedro ;
Silvestre, Carlos ;
Oliveira, Paulo .
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, :1177-1182
[7]  
Brockett RW, 1970, Finite-Dimensional Linear Systems
[8]  
BRYSON M, 2004, P 2004 AUSTR C ROB A
[9]  
Chung DY, 1996, IEEE DECIS CONTR P, P23, DOI 10.1109/CDC.1996.574240
[10]   OBSERVABILITY ANALYSIS OF PIECE-WISE CONSTANT SYSTEMS .2. APPLICATION TO INERTIAL NAVIGATION IN-FLIGHT ALIGNMENT [J].
GOSHENMESKIN, D ;
BARITZHACK, IY .
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1992, 28 (04) :1068-1075