Observability Analysis of Cooperative Localization System for MAUV Based on Condition Number

MA Peng;ZHANG Fu-bin;XU De-min;LIU Shu-qiang

Acta Armamentarii ›› 2015, Vol. 36 ›› Issue (1) : 138-143. DOI: 10.3969/j.issn.1000-1093.2015.01.020
Paper

Observability Analysis of Cooperative Localization System for MAUV Based on Condition Number

  • MA Peng, ZHANG Fu-bin, XU De-min, LIU Shu-qiang
Author information +
History +

Abstract

For the multiple autonomous underwater vehicle (MAUV) cooperative localization system based on the moving long baseline, the 2D kinematic models and range measurement equations of MAUV are established.The observability theory of nonlinear system based on Lie derivatives is used to derive the observability matrix of the cooperative localization system and describe the unobservable trajectories of MAUV system. The evaluation function for the observability metric of the localization system is given using the condition number of observability matrix obtained from singular value decomposition(SVD) theory. Finally, a series of simulation experiments are designed to analyze the system observability under the different MAUV formations. The results show that the system observability change with the MAUV formation, which provides an effective reference to improve the performance of cooperative localization system by transforming the MAUV formation.

Key words

information processing technology / multiple autonomous underwater vehicle / cooperative localization / condition number / observability

Cite this article

Download Citations
MA Peng, ZHANG Fu-bin, XU De-min, LIU Shu-qiang. Observability Analysis of Cooperative Localization System for MAUV Based on Condition Number. Acta Armamentarii. 2015, 36(1): 138-143 https://doi.org/10.3969/j.issn.1000-1093.2015.01.020

References

[1] 邢光谦. 量测系统的能观度和状态估计精度[J]. 自动化学报, 1985, 11(2): 152-158.
XING Guang-qian. Degree of observability and accuracy of state estimate for general measurement system[J]. Acta Automatica Sinica, 1985, 11(2): 152-158. (in Chinese)
[2] GadreA, Stilwell D. Underwater navigation in the presence of unknown currents based on range measurements from a single location[C]∥Proceedings of the 2005 American Control Conference. Portland. US:IEEE,2005:656-661.
[3] Lee P, Jun B, Lim Y. Review on underwater navigation system based on range measurements from one reference [C]∥OCEANS 2008-MTS/IEEE Kobe Techno-Ocean. Kobe, Japan: MTS/IEEE, 2008:1-5.
[4] ZhouX,Roumeliotis S. Robot-to-robot relative pose estimation from range measurements[J]. IEEE Transactions on Robots, 2008, 24(6): 1379-1393.
[5] Antonelli G, Arrichiello F, Chiaverini S, et al. Observability analysis of relative localization for AUVs based on ranging and depth measurements[C]∥2010 IEEE International Conference on Robotics and Automation (ICRA). San Francisco, US: IEEE, 2010: 4276-4281.
[6] Antonelli G, Caiti A, Calare V, et al. Designing behaviors to improve observability for relative localization of AUVs [C]∥IEEE International Conference on Robotics and Auto- mation (ICRA). Anchorage, US:IEEE,2010: 4270-4275.
[7] Martinelli A, Siegwart R. Observability analysis for mobile robot localization[C]∥2005 IEEE/RSJ International Conference on Intelligent Robots and Systems. Anchorage, US: IEEE, 2005:1471-1476.
[8] 房新鹏, 严卫生, 李俊兵. 基于距离量测的主从式AUV协同定位系统可观测性研究[J]. 西北工业大学学报, 2012, 30(4):547-552.
FANG Xin-peng,YAN Wei-sheng, LI Jun-bing. An effective observability analysis for the leader-follower autonomous underwater vehicles (AUVs) cooperative localization based on range measurements[J]. Journal of Northwestern Polytechnical University, 2012, 30(4): 547-552.(in Chinese)
[9] Sharma R, Beard R, Taylor C, et al. Graph-based observability analysis of bearing-only cooperative localization[J]. IEEE Transactions on Robots, 2012, 28(2): 522-529.
[10] 常晓华, 崔平远, 王晓明, 等. 基于条件数的能观性度量方法及在自主导航系统中的应用[J].宇航学报, 2010, 31(5): 1331-1337.
CHANG Xiao-hua, CUI Ping-yuan, WANG Xiao-ming, et al. A condition number-based observability analysis method and its application in autonomous navigation system[J]. Journal of Astronautics, 2010, 31(5): 1331-1337. (in Chinese)
[11] Ham F, Brown R. Observability, eigenvalues, and Kalman filtering[J]. IEEE Transactions on Aerospace and Electronic Systems, 1983, 19(2): 269-273.
[12] Arrichiello F, Antonelli G, Aguiar A, et al. Observability metric of the relative localization for AUVs based on range and depth measurements: theory and experi- ments[C]∥2011 IEEE/RSJ International Conference on Intelligent Robots and Systems(ICIRS). San Francisco, US : IEEE/RSJ, 2011: 3166-3171.
[13] Arrichiello F, Antonelli G, Aguiar A, et al. An observability metric for underwater vehicle localization using range measurements[J]. Sensors, 2013, 13(12):16191-16215.
[14] Long R, Qin Y, Jia J. Observable degree analysis of SINS initial alignment based on singular value decomposition[C]∥IEEE InternationalSymposium on Knowledge Acquisition and Modeling Workshop. Wuhan, China:IEEE,2008: 444-448.
[15] 马艳红, 胡军. 基于SVD理论的可观测度分析方法的几个反例[J]. 中国惯性技术学报, 2008, 16(4): 448-452.
MA Yan-hong, HU Jun. Counterexamples for degree of observability analysis method based on SVD theory[J]. Journal of Chinese Inertial Technology, 2008, 16(4): 448-452. (in Chinese)
[16] Maessen D, Gill E. Relative state estimation and observability analysis for formation flying satellites[J]. Journal of Guidance, Control, and Dynamics, 2012, 35(1): 321-326.
[17] Li M, Wang D, Huang X. Study on the observability analysis based on the trace of error covariance matrix for spacecraft autonomous navigation[C]∥IEEE International Conference on Control and Automation(ICCA). Hangzhou, China: IEEE, 2013: 95-98.
[18] Vaganay J, Leonard J, Curcio J, et al. Experimental validation of the moving long baseline navigation con- cept[C]∥IEEE/OES Autonomous Underwater Vehicles. US: IEEE/OES, 2004: 59-65.
[19] Isidori A.非线性控制系统[M]. 第3版. 王奔, 庄圣贤,译. 北京: 电子工业出版社, 2005.
Isidori A. Nonlinear control system [M]. 3rd ed. WANG Beng, ZHUANG Sheng-xian ,translated. Beijing: Publishing House of Electronics Industry, 2005. (in Chinese)
[20] 张贤达. 矩阵分析与应用[M]. 北京: 清华大学出版社, 2004.
ZHANG Xian-da. Matrix analysis and applications[M].Beijing: Tsinghua University Press, 2004. (in Chinese)

613

Accesses

0

Citation

Detail

Sections
Recommended

/