基于偏置比例导引的落角约束滑模制导律

doi:10.12305/j.issn.1001-506X.2021.05.17

Abstract

Abstract:

In order to make the missile attack ground moving targets such as armored vehicles at a certain impact angle, the variable structure control theory is applied to derive the sliding mode guidance law with impact angle constraint based on the bias proportional guidance, and parameter adaptive power reaching law is designed based on the Lyapunov stability theory. Considering the difficulty of measuring for target speed, the extended states observer (ESO) is introduced to estimate the target speed. Simulation results show that the designed guidance law can accurately hit stationary targets and maneuvering targets with required impact angle, and need less maximum required normal overload and less normal overload near the hit point, and the rear part of trajectory is relatively straight.

Key words: bias proportional navigation, sliding mode variable structure, impact angle constraint, extended states observer (ESO), maneuvering target

CLC Number:

TJ765

Xiaohai WANG, Xiuyun MENG, Feng ZHOU, Wenjie QIU. Sliding mode guidance law with impact angle constraint based on bias proportional navigation[J]. Systems Engineering and Electronics, 2021, 43(5): 1295-1302.

Figures/Tables 8

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References 30

1	李庆春, 张文生, 韩刚. 终端约束条件下末端制导律研究综述[J]. 控制理论与应用, 2016, 33 (1): 1- 12.
	LI Q C , ZHANG W S , HAN G . Review of terminal guidance law with terminal constraints[J]. Control Theory & Applications, 2016, 33 (1): 1- 12.
2	ZARCHAN P . Tactical and strategic missile guidance[M]. 6th ed. Reston: American Institute of Aeronautics and Astronautics, 2012.
3	KIM M , GRIDER K , KOBAYSHI . Terminal guidance for impact attitude angle constrained flight trajectories[J]. IEEE Trans.on Aerospace and Electronic Systems, 1973, 9 (6): 852- 859.
4	KAMALASKAR M B , VARMA S A , KOTHARY M A . A nonlinear impact-angle guidance law[J]. International Journal of Intelligent Unmanned Systems, 2017, 5 (2-3): 46- 62.
5	尤浩, 赵久奋, 李鹏, 等. 带落角约束的非奇异快速终端二阶滑模制导律[J]. 弹箭与制导学报, 2019, 39 (6): 155- 159, 176.
	YOU H , ZHAO J F , LI P , et al. Nonsingular fast terminal se-cond-order sliding mode guidance law with impact angle constraints[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2019, 39 (6): 155- 159, 176.
6	KIM H, KIM H J. Missile guidance law considering constraints on impact angle and terminal angle of attack[C]//Proc. of the AIAA Guidance, Navigation, and Control Conference, 2015.
7	GAO C , LI J , FENG T , et al. Adaptive terminal guidance law with impact-angle constraint[J]. Aeronautical Journal, 2018, 122 (1249): 369- 389. doi: 10.1017/aer.2017.124
8	SONG J H , SONG S M , GUO Y , et al. Nonlinear disturbance observer-based fast terminal sliding mode guidance law with impact angle constraints[J]. International Journal of Innovative Computing, Information & Control, 2015, 11 (3): 787- 802.
9	WEI Y Y, LIU W K, DUAN G R. Missile guidance law with impact angle constraint and acceleration saturation[C]//Proc. of the 35th Chinese Control Conference, 2016: 281-286.
10	高峰, 唐胜景, 师娇, 等. 一种基于落角约束的偏置比例导引律[J]. 北京理工大学学报, 2014, 34 (3): 277- 282.
	GAO F , TANG S J , SHI J , et al. A bias proportional navigation guidance law based on terminal impact angle constraint[J]. Trans-action of Beijing Institute of Technology, 2014, 34 (3): 277- 282.
11	陈韵, 常燕, 苗昊春, 等. 落角约束最优制导律在空地导弹上的应用[J]. 弹箭与制导学报, 2018, 38 (5): 141- 144.
	CHEN Y , CHANG Y , MIAO H C , et al. Optimal guidance law with terminal angular constraint use in air-to-ground missile[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2018, 38 (5): 141- 144.
12	ZANG L Y , LIN D F , JI Y . Nonsingular continuous finite-time convergent guidance law with impact angle constraints[J]. International Journal of Aerospace Engineering, 2019, 2019, 6024240.
13	CHENG Z T , LIU L , WANG Y J . Lyapunov-based switched-gain impact angle control guidance[J]. Chinese Journal of Aeronautics, 2018, 31 (4): 765- 775. doi: 10.1016/j.cja.2018.02.006
14	刘成亮, 辛腾达, 周兴旺, 等. 带落角约束的空地导弹智能滑模末制导律研究[J]. 弹箭与制导学报, 2016, 36 (5): 5- 10.
	LIU C L , XIN T D , ZHOU X W , et al. Research on intelligent sliding mode terminal guidance law for air-to-ground missile with impact angle[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2016, 36 (5): 5- 10.
15	ZHANG X J , LIU M Y . Impact angle control over composite guidance law based on feedback linearization and finite time control[J]. Journal of Systems Engineering and Electronics, 2018, 29 (5): 1036- 1045. doi: 10.21629/JSEE.2018.05.14
16	LEE S , KIM Y . Capturability of impact-angle control composite guidance law considering field-of-view limit[J]. IEEE Trans.on Aerospace and Electronic Systems, 2020, 56 (2): 1077- 1093. doi: 10.1109/TAES.2019.2925485
17	LEE C , SEO M . New insights into guidance laws with terminal angle constraints[J]. Journal of Guidance, Control, and Dynamics, 2018, 41 (8): 1828- 1833.
18	HE S M , SONG T , LIN D F . Impact angle constrained integrated guidance and control for maneuvering target interception[J]. Journal of Guidance, Control, and Dynamics, 2017, 40 (10): 2652- 2660.
19	JI Y , LIN D F , WANG W , et al. Three-dimensional terminal angle constrained robust guidance law with autopilot lag consideration[J]. Aerospace Science and Technology, 2019, 86, 160- 176. doi: 10.1016/j.ast.2019.01.016
20	LIU B J , HOU M S , FENG D . Nonlinear mapping based impact angle control guidance with seeker's field-of-view constraint[J]. Aerospace Science and Technology, 2019, 86, 724- 736. doi: 10.1016/j.ast.2019.02.009
21	MING C , WANG X M , SUN R S . A novel non-singular terminal sliding mode control-based integrated missile guidance and control with impact angle constraint[J]. Aerospace Science and Technology, 2019, 94, 105368. doi: 10.1016/j.ast.2019.105368
22	ZHANG Y , TANG S J , GUO J . An adaptive fast fixed-time guidance law with an impact angle constraint for intercepting maneuvering targets[J]. Chinese Journal of Aeronautics, 2018, 31 (6): 1327- 1344. doi: 10.1016/j.cja.2018.03.017
23	WANG T N , TANG S J , GUO J , et al. Two-phase optimal guidance law considering impact angle constraint with bearings-only measurements[J]. International Journal of Aerospace Engineering, 2017, 2017, 1380531.
24	ZHANG W J , XIA Q L , LI W . Novel second-order sliding mode guidance law with an impact angle constraint that considers autopilot lag for intercepting manoeuvering targets[J]. Aeronautical Journal, 2020, 124 (1279): 1350- 1370. doi: 10.1017/aer.2020.28
25	ZHAO F J , YOU H . New three-dimensional second-order sliding mode guidance law with impact-angle constraints[J]. Aeronautical Journal, 2019, 124 (1273): 368- 384.
26	AI X L , SHEN Y C , WANG L L . Adaptive integrated guidance and control for impact angle constrained interception with actuator saturation[J]. Aeronautical Journal, 2019, 123 (1267): 1437- 1453. doi: 10.1017/aer.2019.71
27	HU Q L , HAN T , XIN M . New impact time and angle guidance strategy via virtual target approach[J]. Journal of Guidance, Control, and Dynamics, 2018, 41 (8): 1755- 1765. doi: 10.2514/1.G003436
28	HOU Z W , LIU L , WANG Y J . Time-to-go estimation for terminal sliding mode based impact angle constrained guidance[J]. Aerospace Science and Technology, 2017, 71, 685- 694. doi: 10.1016/j.ast.2017.10.016
29	HOU Z W , YANG Y , LIU L , et al. Terminal sliding mode control based impact time and angle constrained guidance[J]. Aerospace Science and Technology, 2019, 93, 505- 514.
30	GAO Z Q. Scaling and bandwidth parameterization based controller tuning[C]//Proc. of the American Control Conference, 2003, 6: 4989-4996.

场景	制导律
场景	制导律1	制导律2	本文制导律
场景1	-59.87	-60.00	-60.01
场景2	-59.94	-50.75	-59.92
场景3	-69.76	-64.47	-69.29
场景4	-59.91	-63.67	-60.16

场景	制导律
场景	制导律1	制导律2	本文制导律
场景1	0.030	0.000	0.012
场景2	0.015	0.001	0.008
场景3	0.008	0.069	0.042
场景4	0.027	0.081	0.046

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Sliding mode guidance law with impact angle constraint based on bias proportional navigation

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