A Rapid and Near Analytic Planning Method for Gliding Trajectory under Time Constraints

doi:10.12382/bgxb.2023.0343

Abstract

Abstract:

A rapid trajectory planning method based on drag acceleration-energy profile is proposed for the time controllable re-entry gliding. This method divides the gliding trajectory planning into longitudinal trajectory planning and lateral planning. In the longitudinal trajectory planning, a multi-segment smooth drag acceleration profile based on corridor boundary dual-parameter interpolation is designed, and a method for applying local path angle constraints at the terminal is provided. Then the analytical prediction expressions for time and range considering the influence of Earth rotation are derived, which improves the speed and accuracy of the prediction algorithm. The profile design is then completed by correcting the double profile parameters, while meeting the constraints of terminal energy, range, time, and local path angle. In the lateral planning, the dynamic/static heading angle error corridor method is used to avoid the no-fly zone and adjust the terminal heading, a target range and time correction strategy considering longitudinal and lateral motion coupling is further introduced, and a three-degrees-of-freedom gliding trajectory generation considering time constraints is completed. Finally, the effectiveness and multitasking applicability of the proposed method are verified by taking CAV-H re-entry gliding as an example for simulation. Compared with existing time analytical prediction methods, the proposed prediction method has significant computational efficiency and high computational accuracy. Compared with existing trajectory planning methods based on standard profiles, the proposed planning method has higher terminal accuracy, higher computational efficiency, and a larger time adjustable range, and can also achieve the rapid prediction of flight capability boundaries.

Key words: gliding trajectory planning, time constraint, drag acceleration profile, predictive correction, near analysis, capability boundary prediction

CLC Number:

V412.4

WANG Peichen, YAN Xunliang, NAN Wenjiang, LI Xinguo. A Rapid and Near Analytic Planning Method for Gliding Trajectory under Time Constraints[J]. Acta Armamentarii, 2024, 45(7): 2294-2305.

Figures/Tables 9

Fig.1 D-E profile diagram

Fig.2 Flow chart of 3-DOF trajectory generation algorithm

Fig.3 Predictive map of flight capability boundary

Fig.4 Predicted error curves of range and time

Table 1 Simulation condition settings

算例	θ₀(°)	ϕ₀(°)	ψ₀(°)	$γ * f$ (°)	$t f *$ /s	$s f *$ /km
1	50	0	-70	-4.0	1010.0	4511.6
2	0	70	170	-2.0	1380.0	6659.6
3	0	70	170	-2.0	1560.0	6659.6
4	-60	20	100	-2.0	1690.0	7502.4
5	5	-70	0	-2.0	1960.0	8853.9

Table 1 Simulation condition settings

算例	θ₀(°)	ϕ₀(°)	ψ₀(°)	$γ * f$ (°)	$t f *$ /s	$s f *$ /km
1	50	0	-70	-4.0	1010.0	4511.6
2	0	70	170	-2.0	1380.0	6659.6
3	0	70	170	-2.0	1560.0	6659.6
4	-60	20	100	-2.0	1690.0	7502.4
5	5	-70	0	-2.0	1960.0	8853.9

Fig.5 Simulated result curves under different constraints

Table 2 Terminal parameters corresponding to different simulation conditions

算例	h_f/ km	v_f/ (m·s^-1)	s_togo,f/ km	γ_f/ (°)	Δt_f/ s	计算耗时/s
1	25.08	1999.12	50.03	-3.84	0.07	0.85
2	25.07	1999.62	50.43	-1.89	0.47	1.12
3	25.07	1999.72	50.22	-1.97	0.14	1.43
4	25.05	1999.62	50.23	-1.96	0.26	1.52
5	25.03	1998.02	50.29	-2.15	0.15	1.66

Table 3 Terminal parameters corresponding to different computational examples under the constraints of no-fly zone

算例	h_f/ km	v_f/ (m·s^-1)	s_togo,f/ km	γ_f/ (°)	Δt_f/ s	计算耗时/s
1	25.05	1999.62	50.23	-1.96	0.26	1.52
2	25.06	1999.43	50.42	-1.96	0.38	1.61
3	25.07	1999.46	50.35	-1.94	0.35	1.46

Fig.6 Simulated result curves corresponding to different computational examples under the constraints of no-fly zone

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