Robust Terminal Guidance Law with Autopilot Lag and Impact Angle Constraints

doi:10.3969/j.issn.1000-1093.2017.05.009

Abstract

Abstract: A novel robust impact-angle-constrained guidance law with autopilot lag is proposed based on integral sliding mode and dynamic surface control for guided projectiles. The inner-loop autopilot is characterized by an uncertain second-order dynamics. The sliding mode variable is defined as a combination of the line-of-sight (LOS) rate and the LOS angle error with time-to-go in order to realize the guidance strategy and achieve a good acceleration performance during interception. The smooth nonlinear disturbance observer is adopted to obtain the model discrepancies from target maneuver and the speed variation of target and interceptor. The stability of LOS rate and the LOS angular deviation is proved in the sense of the uniform boundedness and ultimate boundedness. Simulated results show the effectiveness and superiority of the proposed robust terminal guidance law compared to the trajectory shaping guidance law and the nonsingular terminal guidance law. Key

Key words: ordnancescienceandtechnology, terminalguidance, impactangleconstraint, integralslidingmode, dynamicsurfacecontrol, disturbanceestimator

CLC Number:

TJ765.2⁺2

YANG Jing， WANG Xu-gang， WANG Zhong-yuan， CHANG Si-jiang. Robust Terminal Guidance Law with Autopilot Lag and Impact Angle Constraints[J]. Acta Armamentarii, 2017, 38(5): 900-909.

References

［1］ Kim M, Grider K V.Terminal guidance for impact attitude angle constrained flight trajectories[J]. IEEE Transactions on Aerospace and Electronic Systems, 1973, 9(6):852-859.
[2] Zarchan P. Tactical and strategic missile guidance[M]. Reston, VA, US: American Institute of Aeronautics and Astronautics, Inc, 2012: 569-576.
[3] Byung S K, Jang G L, Hyung S H. Biased PNG law for impact with angular constraint[J]. IEEE Transactions on Aerospace and Electronic Systems, 1998, 34(1): 277-288.
[4] 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 Chun-yan, SONG Jian-mei, HOU Bo, et al.Cooperative guidance law with impact angle and impact time constraints for networked missiles[J]. Acta Armamentarii, 2016, 37(3):431-438.(in Chinese)
[5] 张友安, 孙阳平, 方悦, 等. 带落角和末端攻角约束的最优末制导律[J]. 海军航空工程学院学报, 2013, 28(4):368-371.
ZHANG You-an, SUN Yang-ping, FANG Yue, et al.Optimal guidance law with constraint on terminal impact angle and angle of attack[J]. Journal of Naval Aeronautical and Astronautical University, 2013, 28(4):368-371.(in Chinese)
[6] Cho H, Ryoo C K, Tsourdos A, et al.Optimal impact angle control guidance law based on linearization about collision triangle[J]. Journal of Guidance Control and Dynamics, 2014, 37(3):958-964.
[7] Rao S, Ghose D.Terminal impact angle constrained guidance laws using variable structure systems theory[J]. IEEE Transactions on Control Systems Technology, 2013, 21(6):2350-2359.
[8] 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.
[9] 刁兆师, 单家元. 考虑自动驾驶仪动态特性的含攻击角约束的反演递推制导律[J]. 宇航学报, 2014, 35(7):818-826.
DIAO Zhao-shi, SHAN Jia-yuan. Back stepping guidance law with autopilot lag for attack angle constrained trajectories[J]. Journal of Astronautics, 2014, 35(7):818-826. (in Chinese)
[10] He S, Lin D, Wang J.Robust terminal angle constraint guidance law with autopilot lag for intercepting maneuvering targets[J]. Nonlinear Dynamics, 2015, 81(1/2):881-892.
[11] Swaroop D, Hedrick J K, Yip P P, et al.Dynamic surface control for a class of nonlinear systems[J]. IEEE Transactions on Automatic Control, 2000, 45(10):1893-1899.
[12] 熊少锋, 王卫红, 刘晓东, 等. 考虑导弹自动驾驶仪动态特性的带攻击角度约束制导律[J]. 控制与决策, 2015, 30(4): 585-592.
XIONG Shao-feng, WANG Wei-hong, LIU Xiao-dong, et al. Impact angle guidance law considering missile's dynamics of autopilot[J]. Control and Decision, 2015, 30(4):585-592.(in Chinese)
[13] 张尧, 郭杰, 唐胜景, 等. 机动目标拦截含攻击角约束的新型滑模制导律[J]. 兵工学报, 2015, 36(8):1443-1457.
ZHANG Yao, GUO Jie, TANG Sheng-jing, et al. A novel sliding mode guidance law with impact angle constraint for maneuvering target interception[J]. Acta Armamentarii, 2015, 36(8):1443-1457.(in Chinese)
[14] Yamasaki T, Balakrishnan S N , Takano H, et al. Sliding mode based intercept guidance with uncertainty and disturbance compensation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(4):3331-3345.
[15] Shtessel Y, Edwards C, Fridman L, et al. Sliding mode control and observation[M]. NY, US: Birkhuser , 2013: 30-34.
[16] Levant A. High-order sliding modes, differentiation and output-feedback control[J]. International Journal of Control, 2003, 76(9): 924-941.

第38卷第5期
2017 年5月兵工学报ACTA
ARMAMENTARIIVol.38No.5May2017

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