| Citation: | LI Jinglin, CHEN Wanchun, MIN Changwanet al. Terminal hypersonic trajectory modeling and optimization for maneuvering penetration and precision strike[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 556-567. doi: 10.13700/j.bh.1001-5965.2017.0308(in Chinese)
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Aimed at the maneuvering penetration and precision strike problem of hypersonic vehicle terminal trajectory, an optimal maneuvering trajectory optimization method considering the dynamic characteristics of intercepting was proposed from the viewpoint of optimal control, so as to obtain the maximum maneuverability of hypersonic vehicles. In this paper, the intercepting missile model was introduced into the model of penetration trajectory optimization, and a constraint was imposed to restrict the intercepting missile to fly according to the proportional guidance law. The trajectories were divided into phases according to the different missions and trajectory characteristics of the belligerents. The penetration performance index and the precision strike performance index are put forward according to the task and characteristics of each phase, and by the weighting function the independent and contradictory performance indicators are unified. Thus a multi-object, multi-phase and multi-constrained maneuvering penetration trajectory optimization model was established. And multiphase Radau pseudospectral method (MRPM) was used to solve the problem. Due to the initial sensitivity and narrow feasible region of the problem, a series of trajectory optimization strategies were proposed to improve the convergence rate and the precision of the solution. Finally, the optimal maneuvering trajectory was obtained, and the optimality of the solution was verified based on the principle of costate mapping. The results show that the method can give full play to the maneuverability of the hypersonic vehicle, and obtain the penetration trajectory which satisfies the terminal accuracy. Compared with the existing method, the miss distance is increased by 1-2 orders of magnitude. Sensitivity analysis shows that the trajectory is insensitive to the launch time of the interceptor.
| [1] |
陈万春, 聂蓉梅, 刘佳琪, 等.PAC-3爱国者拦截弹末制导精度仿真研究[J].飞航导弹, 1999, 19(7):57-62.
CHEN W C, NIE R M, LIU J Q, et al.Simulation and research on the terminal guidance precision of PAC-3 patriot missile[J].Winged Missiles Journal, 1999, 19(7):57-62(in Chinese).
|
| [2] |
崔静, 姜玉宪.拦截导弹动力学特性对摆动式机动策略突防效果的影响[J].宇航学报, 2001, 22(5):33-38.
CUI J, JIANG Y X.The effect of interceptor's dynamic system order on the penetration efficiency of weaving maneuver strategy[J].Journal of Astronautics, 2001, 22(5):33-38(in Chinese).
|
| [3] |
姜玉宪, 崔静.导弹摆动式突防策略的有效性[J].北京航空航天大学学报, 2002, 28(2):133-136.
JIANG Y X, CUI J.Effectiveness of weaving maneuver strategy of a missile[J].Journal of Beijing University of Aeronautics and Astronautics, 2002, 28(2):133-136(in Chinese).
|
| [4] |
ZARCHAN P.Proportional navigation and weaving targets[J].Journal of Guidance, Control, and Dynamics, 1995, 18(5):969-974. doi: 10.2514/3.21492
|
| [5] |
SHINAR J, STEIBERG D.Analysis of optimal evasive maneuvers based on a linearized two-dimensional kinematic model[J]. Journal of Aircraft, 1977, 14(8):795-802. doi: 10.2514/3.58855
|
| [6] |
SHINAR J, TABAK R.New results in optimal missile avoidance[J]. Journal of Guidance, Control, and Dynamics, 1994, 17(5):897-902. doi: 10.2514/3.21287
|
| [7] |
YANUSHEVSKY R.Analysis of optimal weaving frequency of maneuvering targets[J].Journal of Spacecraft and Rockets, 2004, 41(3):477-479. doi: 10.2514/1.6459
|
| [8] |
IMADO F.Some aspects of a realistic three-dimensional pursuit-evasion game[J].Journal of Guidance, Control, and Dynamics, 1993, 16(2):125-139. doi: 10.2514/3.21002
|
| [9] |
IMADO F, UEHARA S.High-g barrel roll maneuvers against proportional navigation from optimal control, viewpoint[J]. Journal of Guidance, Control, and Dynamics, 1998, 21(6):876-881. doi: 10.2514/2.4351
|
| [10] |
IMADO F, KURODA T. Engagement tactics for two missiles against an optimally maneuvering aircraft[J].Journal of Guidance, Control, and Dynamics, 2011, 34(2):574-582. doi: 10.2514/1.49079
|
| [11] |
BENSON D A, THORVALDSEN G T, RAO A V.Direct trajectory optimization and costate estimation via an orthogonal collocation method[J].Journal of Guidance, Control, and Dynamics, 2006, 29(6):1435-1440. doi: 10.2514/1.20478
|
| [12] |
HUNTINGTON G T, RAO A V.Optimal reconfiguration of spacecraft formation via a Gauss pseudospectral method[J].Journal of Guidance, Control, and Dynamics, 2008, 31(3):689-698. doi: 10.2514/1.31083
|
| [13] |
ZHANGK N, CHEN W C. Reentry vehicle constrained trajectory optimization[C]//Proceedings of AIAA International Space Planes and Hypersonic Systems and Technologies Conference. Reston: AIAA, 2011, 1: 1-16.
|
| [14] |
DARBY C L, RAO A V.Minimum-fuel low earth orbit aeroassisted orbital transfer of small spacecraft[J].Journal of Spacecraft and Rocket, 2011, 48(4):618-628. doi: 10.2514/1.A32011
|
| [15] |
WEISS M, SHIMA T, CASTANEDA D, et al.Minimum effort intercept and evasion guidance algorithms for active aircraft defense[J]. Journal of Guidance, Control, and Dynamics, 2016, 39(10):2297-2311. doi: 10.2514/1.G000558
|
| [16] |
DIVIA G. Advances in global pseudospectral methods for optimal control[D]. Gainesville: University of Floroda, 2011: 92-96.
|
| [17] |
ZARCHAN P.Tactical and strategic missile guidance[M]. 6th ed. Reston:AIAA, 2012:117-122.
|
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