Abstract
For improving the performance of differential geometric guidance command (DGGC), a new formation of this guidance law is proposed, which can guarantee the finite time convergence (FTC) of the line of sight (LOS) rate to zero or its neighborhood against maneuvering targets in three-dimensional (3D) space. The extended state observer (ESO) is employed to estimate the target acceleration, which makes the new DGGC more applicable to practical interception scenarios. Finally, the effectiveness of this newly proposed guidance command is demonstrated by the numerical simulation results.
Similar content being viewed by others
References
SHNEYDOR N A. Missile guidance and pursuit-kinematics, dynamics and control [M]. Chichester: Horwood Publishing, 1998: 101–103.
KUO Chen-yuan, CHIOU Ying-chwan. Geometric approach to three-dimensional missile guidance problems [J]. Journal of Guidance, Control, and Dynamics 1998, 21(2): 335–341.
KUO Chen-yuan, CHIOU Ying-chwan. Geometric analysis of missile guidance command [J]. Control Theory and Applications 2000, 147(2): 205–211.
KUO Chen-yuan, DIDIK S, CHIOU Ying-chwan. Geometric analysis of flight control command for tactical missile guidance [J]. IEEE Transactions on Control Systems Technology 2001, 9(2): 234–243.
LI Chao-yong, JING Wu-xing, WANG Hui, QI Zhi-guo. Iterative solution to differential geometric guidance problem [J]. Aircraft Engineering and Aerospace Technology 2006, 78(5): 415–425.
LI Chao-yong, JING Wu-xing, WANG Hui, QI Zhi-guo. Gain-varying guidance algorithm using differential geometric guidance command [J]. IEEE Transactions on Aerospace and Electronic Systems 2010, 46(2): 725–736.
LI Ke-bo, CHEN Lei, BAI Xian-zong. Differential geometric modeling of guidance problem for interceptors [J]. Science China Technological Sciences 2011, 54(9): 2283–2295.
LI Ke-bo, CHEN Lei, TANG Guo-jin. Improved differential geometric guidance commands for endoatmospheric interception of high-speed targets [J]. Science China Technological Sciences 2013, 56(2): 518–528.
LI Ke-bo, CHEN Lei, TANG Guo-jin. Algebraic solution of differential geometric guidance command and time delay control [J]. Science China: Technological Sciences 2015, 58(1): 565–573.
YE J K, LEI H M, XUE D F, LI J, SHAO L. Nonlinear differential geometric guidance for maneuvering target [J]. Journal of Systems Engineering and Electronics 2012, 23(5): 752–760.
ARIFF O, ZBIKOWSKI R, TSOURDOS A, WHITE B A. Differential geometric guidance based on the involute of the target’s trajectory [J]. Journal of Guidance, Control and Dynamics 2005, 28(5): 990–996.
WHITE B A, ZBIKOWSKI R, TSOURDOS A. Direct intercept guidance using differential geometric Concepts [J]. IEEE Transactions on Aerospace and Electronic Systems 2007, 43(3): 899–919.
HAIMO V T. Finite time controllers [J]. SIAM J. Control and Optimization 1986, 24(4): 760–770.
GURFIL P, JODORKOVSKY M, GUELMAN M. Finite time stability approach to proportional navigation systems analysis [J]. Journal of Guidance, Control and Dynamics 1998, 21(6): 853–861.
WU Ri-na, JI Hai-bo, ZHANG Bao-li. A 3-D nonlinear guidance law for missile based on finite time control [J]. Electronics Optics & Control 2009, 16(4): 22–24. (in Chinese)
ZHOU Di, SUN Sheng, KOK L T. Guidance laws with finite time convergence[J]. Journal of Guidance, Control and Dynamics 2009, 32(6): 1838–1846.
WANG Xiang-hua, WANG Jin-zhi. Partial integrated guidance and control for missiles with three-dimensional impact angle constraints [J]. Journal of Guidance, Control, and Dynamic 2014, 37(2): 644–656.
YAO Yu, WANG Yu-hang. Acceleration estimation of maneuvering targets based on extended state observer [J]. Systems Engineering and Electronics 2009, 31(11): 2682–2692. (in Chinese)
ZH Zheng, XU Dong, LIU Jing-meng, XIA Yuan-qing. Missile guidance law based on extended state observer [J]. IEEE Transactions on Industrial Electronics 2013, 60(12): 5882–5891.
XIONG Shao-feng, WANG Wei-hong, LIU Xiao-dong, WANG Sen, CHEN Zeng-qiang. Guidance law against maneuvering targets with intercept angle constraint [J]. ISA Transactions 2014, 53: 1332–1342.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ma, Yw., Zhang, Wh. Differential geometric guidance command with finite time convergence using extended state observer. J. Cent. South Univ. 23, 859–868 (2016). https://doi.org/10.1007/s11771-016-3133-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-016-3133-x