亚轨道飞行器再入轨迹高精度自适应凸规划

doi:10.7527/S1000-6893.2023.29430

Abstract

Abstract:

Under complete terminal state constraints, the reentry gliding trajectory planning of suborbital reusable aircraft is short of convergence and accuracy. A high-precision solution algorithm combining sequential convex optimization and adaptive mesh refinement based homotopic constrained model predictive convex programming is proposed to achieve high-precision and reliable convergence in the reentry trajectory planning process under the conditions of weak initial value dependency. Firstly, several terminal constraints are relaxed, and the trust region is utilized as a soft constraint during the convex optimization process. An augmented index function is defined to reflect the linearization error and the degree of constraint violation. A multi-dimensional parameter search method is proposed to update the state and control variables separately, avoiding the situation of no solution in the basic line search. Further, constraint relaxation terms are selected as homotopy parameters, the discrete mesh is adjusted adaptively based on evaluation of model prediction deviation, and a static convex programming problem model is constructed considering multi-constraints. Then, the control adjustment quantity in the entire process is homotopically optimized to achieve high-precision correction of all-element trajectory state variables and improve algorithm convergence. Finally, the effectiveness of the proposed method is verified through numerical simulation.

Key words: reentry trajectory planning, complete constraints, convex optimization, model prediction correction, adaptive mesh refinement

CLC Number:

V412.44

Zhe LIU, Xige ZHANG, Changzhu WEI, Naigang CUI. High-precision adaptive convex programming for reentry trajectories of suborbital vehicles[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): 729430-729430.

Figures/Tables 15

Fig.1

Fig.2

Fig.3

Table 1

Initial conditions of simulation

参数	初始状态	终端目标状态
高度/km	100	25
速度/（ $m ⋅ s - 1$ ）	7 450	700
经度/（ $°$ ）	0	12
纬度/（ $°$ ）	0	70
飞行路径角/（ $°$ ）	-0.5	-10
航向角/（ $°$ ）	0	90

Table 1

Fig.4

Table 2

Comparison of terminal errors

终端误差项	凸优化	伪谱法	AM-CMPCP
高度误差/m	137.44	57.56	32.66
速度误差/（ $m ⋅ s - 1$ ）	5.36	2.12	1.37
经度误差/（ $°$ ）	0.04	-0.06	0.004
纬度误差/（ $°$ ）	0.02	-0.03	0.005
路径角误差/（ $°$ ）	5.06	0.03	-0.01
航向角误差/（ $°$ ）	33.31	-0.30	0.01

Table 2

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Table 3

Terminal deviation of different discrete methods

终端误差项	大步长离散	AM-CMPCP	积分步长离散
高度/m	-1 313.58	32.66	11.43
速度/（ $m ⋅ s - 1$ ）	30.29	1.37	0.67
经度/（ $°$ ）	0.08	0.004	0.004
纬度/（ $°$ ）	0.001	0.005	0.002
路径角/（ $°$ ）	1.52	-0.01	0.02
航向角/（ $°$ ）	-3.57	0.01	-0.03

Table 3

Fig.12

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High-precision adaptive convex programming for reentry trajectories of suborbital vehicles

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