带有视场角约束的滑模攻击时间控制制导律

doi:10.3969/j.issn.1000-1093.2019.04.013

摘要/Abstract

摘要： 为提高攻击时间控制制导律的鲁棒性和工程适应性，以弹目拦截几何关系为基础，采用滑模技术设计了一种带导引头视场角约束的无奇点攻击时间控制制导律。通过Lyapunov理论证明了该制导律的稳定性和收敛性。理论分析及仿真结果表明：当攻击时间误差变为0 s时，该制导律可演变成纯比例导引律，末端需用过载变化平缓、命中点处为0 g；所设计制导律可有效实现静止目标拦截、多导弹协同攻击等场合的攻击时间控制。

关键词: 导弹, 攻击时间控制, 视场角约束, 滑模控制, 比例导引法

Abstract: To improve the robustness and engineering adaptability of the impact time control guidance law, a nonsingular impact time control guidance law with seeker's field of view constraint is designed using sliding mode technique based on the geometrical relation of projectile interception. The stability and convergence of the proposed guidance law are proved by Lyapunov theory. The theoretically analyzed and simulated results show that, when the impact time error is zero, the proposed guidance law can evolve into a pure proportional navigation guidance law, and the required terminal acceleration of the proposed guidance law is fairly smooth, converging to zero during interception. The proposed guidance law can be used to effectively control the impact time for stationary target interception and multi-missile cooperative attack. Key

Key words: missile, impacttimecontrol, field-of-viewangleconstraint, slidingmodecontrol, proportionalnavigationlaw

中图分类号:

TJ765.3⁺1

陈升富，常思江，吴放. 带有视场角约束的滑模攻击时间控制制导律[J]. 兵工学报, 2019, 40(4): 777-787.

CHEN Shengfu, CHANG Sijiang, WU Fang. A Sliding Mode Guidance Law for Impact Time Control with Field of View Constraint[J]. Acta Armamentarii, 2019, 40(4): 777-787.

参考文献

［1］ JEON I S, LEE J I, TAHK M J. Impact-time-control guidance law for anti-ship missiles［J］. IEEE Transactions on Control Systems Technology, 2006, 14(2):260-266.
［2］ JEON I S, LEE J I. Homing guidance law for cooperative attack of multiple missiles［J］. Journal of Guidance, Control, and Dynamics, 2010, 33(1):275-280.
［3］ CHO N H, KIM Y D. Modified pure proportional navigation guidance law for impact time control［J］. Journal of Guidance, Control, and Dynamics, 2016, 39(4):852-872.
［4］ JEON I S, LEE J I, TAHK M J. Impact-time-control guidance with generalized proportional navigation based on nonlinear formulation［J］. Journal of Guidance, Control, and Dynamics, 2016, 39(8):1887-1892.
［5］ ZHANG Y A, WANG X L, WU H L. Impact time control gui- dance law with field of view constrain［J］. Aerospace Science Technology, 2014, 39:361-369.
［6］ ZHANG Y A, WANG X L, WU H L. Impact time control guidance with field-of-view constraint accounting for uncertain system lag［J］. Proceedings of the Institution of Mechanical Engineer, Part G: Journal of Aerospace Engineering, 2016, 230(3):515-529.
［7］杨哲, 林德福, 王辉. 带视场角限制的攻击时间控制制导律［J］. 系统工程与电子技术, 2016, 38(9): 2122-2128.
YANG Z, LIN D F, WANG H. Impact time control guidance law with filed-of-view limit［J］. Systems Engineering and Electronics,2016,38(9):2122-2128. (in Chinese)
［8］马国欣, 张友安. 带有导引头视场限制的攻击时间控制导引律［J］. 弹道学报, 2013, 25(2):6-11.
MA G X, ZHANG Y A. Impact time control guidance law with seeker field-of-view limit［J］. Journal of Ballistics, 2013, 25(2):6-11. (in Chinese)
［9］张春妍, 宋建梅, 侯博,等. 带落角和时间约束的网络化导弹协同制导律［J］. 兵工学报, 2016, 37(3):431-438.
ZHANG C Y, SONG J M, HOU B, et al. Cooperative guidance law with impact angle and impact time constraints for networked missiles［J］. Acta Armamentarri, 2016, 37(3):431-438. (in Chinese)

［10］ JEON I S, LEE J I. Impact-time-control guidance law with constraints on seeker look angle［J］. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(7):2621-2627.
［11］ ARITA S, UENO S. Optimal feedback guidance for nonlinear missile model with impact time and angle Cconstraints［C］∥AIAA Guidance, Navigation, and Control Conference.Boston, MA,US: AIAA, 2013.
［12］ ERER K S, TEKIN R. Impact time and angle control based on constrained optimal solution［J］. Journal of Guidance, Control, and Dynamics, 2016, 39(10):2248-2454.
［13］ SALEEM A, RATNOO A. Lyapunov-based guidance law for impact time control and simultaneous arrival［J］. Journal of Guidance, Control, and Dynamics, 2016, 39(1):164-173.
［14］ KIM M G, JUNG B Y, HAN B K, et al. Lyapunov-based impact time control guidance laws against stationary targets［J］. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(2): 1111-1122.
［15］ TEKIN R, ERER K S, HOLZAPFEL F. Polynomial shaping of the look angle for impact-time control［J］. Journal of Guidance, Control, and Dynamics, 2017, 40(10) :2666-2671.
［16］ TEKIN R, ERER K S, HOLZAPFEL F. Adaptive impact time control via look-angle shaping under varying velocity［J］. Journal of Guidance, Control, and Dynamics, 2017, 40(12):3247-3255.
［17］ TEKIN R, ERER K S, HOLZAPFEl F. Impact time control with generalized-polynomial range formulation［J］. Journal of Guidance, Control, and Dynamics, 2018, 41(5) :1190-1195.
［18］ SNYDER M, QU Z H, HULL R, et al. Quad-segment polynomial trajectory guidance for impact-time control of precision-munition strike［J］. IEEE Transactions on Aerospace and Electronic Systems, 2016, 52(6):3008-3023.
［19］ ZHAO Y, SHENG Y Z, LIU X D. Trajectory reshaping based guidance with impact time and angle constraints［J］. Chinese Journal of Aeronautics, 2016, 29(4):984-994.
［20］ KUMAR S R, GHOSE D. Impact time guidance for large heading errors using sliding mode control［J］. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(4):3123-3128.
［21］ CHO D, KIM H J, TAHK M J. Nonsingular sliding mode guidance for impact time control［J］. Journal of Guidance, Control, and Dynamics, 2016, 39(1):61-68.
［22］ ZHAO Y, SHENG Y Z, LIU X D. Analytical impact time and angle guidance via time-varying sliding mode technique［J］. ISA Transactions, 2016, 62(SI):164-176.
［23］ KUMAR S R, GHOS D. Sliding mode guidance for impact time and angle constraints［J］. Proceedings of the Institution of Mechanical Engineer, Part G: Journal of Aerospace Engineering, 2017, 232(16): 2961-2977.
［24］ KIM H G, KIM H J. Impact time control guidance considering seeker's field-of-view limits［C］∥Proceedings of the 55th Conference on Decision and Control. Piscataway, NJ, US: IEEE, 2016:4160-4165.
［25］ TAHK M J, SANG D K. Guidance law switching logic considering the seeker's field-of-view limits［J］. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2009, 223(8):1049-1058.
［26］ HARL N, BALAKRISHNAN S N. Impact time and angle guidance with sliding mode control［J］. IEEE Transactions on Control Systems Technology, 2012, 20(6):1436-1449.
［27］ ZHOU J, WANG Y, ZHAO B. Impact-time-control guidance law for missile with time-varying velocity［J］. Mathematical Problems in Engineering, 2016, 2016:7951923.
［28］ CHEN X T, WANG J Z. Nonsingular sliding-mode control for field-of-view constrained impact time guidance［J］. Journal of Guidance, Control, and Dynamics, 2018, 41(5):1214-1222.
［29］ KUMAR S R, RAO S, Ghose D. Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints［J］. Journal of Guidance, Control, and Dynamics, 2012, 35(4): 1230-1246.
［30］ KUMAR S R, RAO S, GHOSE D. Nonsingular terminal sliding mode guidance with impact angle constraints［J］. Journal of Guidance, Control, and Dynamics, 2014, 37(4) :1114-1130.
［31］ UTKIN V, GULDNER J, SHI J X. Sliding mode control in electro-mechanical systems［M］. Boca Raton, FL, US: CRC Press, 2009.

第40卷
第4期2019 年4月兵工学报ACTA
ARMAMENTARIIVol.40No.4Apr.2019

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