基于变节点虚拟域动态逆的轨迹实时优化

doi:10.7527/S1000-6893.2013.0360

Abstract

Abstract:

To solve the problem of low utilization rate in inverse dynamics in the virtual domain (IDVD) trajectory optimization caused by node distribution in equal distances, a real time variable node IDVD trajectory optimization algorithm is presented in this paper. Based on the variable upper limit integral of the overload on the virtual arc the algorithm transcribes fixed node and fixed step IDVD to variable node and variable step IDVD by performing optimization twice. A comparison with two examples using IDVD in the interception of ballistic missile trajectory at the ascent phase shows that, if the number of nodes is equal, the variable node IDVD reaches lower standard deviations of error of about 20% at the x axis, y axis, z axis respectivlely, and cuts the optimization time by 20% approximately. Results show that the variable node IDVD is able to distribute nodes adaptively according to the size of the curvature of the virtual arc, which improves the utilization rate of nodes, enhances trajectory calculation accuracy and reduces online optimization time.

Key words: guidance, optimal control, trajectory optimization, direct method, inverse dynamics in the virtual domain, variable node inverse dynamics in the virtual domain

CLC Number:

V412.1

YAN Liang, LI Yuan, ZHAO Jiguang, DU Xiaoping. Trajectory Real-time Optimization Based on Variable Node Inverse Dynamics in the Virtual Domain[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(12): 2794-2803.

References

[1] Ocampo C A, Mathur R. Variational model for optimization of finite-burn escape trajectories using a direct method. Journal of Guidance, Control, and Dynamics, 2012, 35(2): 598-608.

[2] Liu T, Nachtsheim P R. Shooting method for solution of boundary-layer flows with massive blowing. AIAA Journal, 1973, 11(11): 1584-1586.

[3] Matausek M R. Direct shooting method, linearization, and nonlinear algebraic equations. Journal of Optimization Theory and Applications, 1974, 14(2): 199-212.

[4] Blank D. A direct shooting algorithm and the application of parametric optimization for constrained optimal control problems. Haifa: Department of Aeronautical Engineering, Israel Institute of Technology, 1978.

[5] Lenz S M, Bock H G, Schlder J P, et al. Multiple shooting method for initial satellite orbit determination. Journal of Guidance, Control, and Dynamics, 2010, 33(5): 1334-1346.

[6] Maurer H, Gillessen W. Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables. Computing, 1975, 15(2): 105-126.

[7] Rentrop P. Numerical solution of the singular Ginzburg-Landau equations by multiple shooting. Computing, 1976, 16(1-2): 61-67.

[8] Subbarao K, Shippey B M. Hybrid genetic algorithm collocation method for trajectory optimization. Journal of Guidance, Control, and Dynamics, 2009, 32(4): 1396-1403.

[9] Benson D A, Huntington G T, Thorvaldsen T P, et al. Direct trajectory optimization and costate estimation via an orthogonal collocation method. Journal of Guidance, Control, and Dynamics, 2006, 29(6): 1435-1440.

[10] Dwivedi P N, Bhattacharya A, Padhi R. Suboptimal midcourse guidance of interceptors for high-speed targets with alignment angle constraint. Journal of Guidance, Control, and Dynamics, 2011, 34(3): 860-877.

[11] Seywald H. Trajectory optimization based on differential inclusion (revised). Journal of Guidance, Control, and Dynamics, 1994, 17(3): 480-487.

[12] Fahroo F, Ross I M. Second look at approximating differential inclusions. Journal of Guidance, Control, and Dynamics, 2001, 24(1): 131-133.

[13] Lu P. Inverse dynamics approach to trajectory optimization for an aerospace plane. Journal of Guidance, Control, and Dynamics, 1993, 16(4): 726-732.

[14] von Stryk O, Bulirsch R. Direct and indirect methods for trajectory optimization. Annals of Operations Research, 1992, 37(1-4): 357-373.

[15] Yakimenko O A. Direct method for rapid prototyping of near-optimal aircraft trajectories. Journal of Guidance, Control, and Dynamics, 2000, 23(5): 865-875.

[16] Basset G, Xu Y, Yakimenko O A. Computing short-time aircraft maneuvers using direct methods. Journal of Computer and Systems Sciences International, 2010, 49(3): 481-513.

[17] Benson D A, Huntington G T, Thorvaldsen T P, et al. Direct trajectory optimization and costate estimation via an orthogonal collocation method. Journal of Guidance, Control, and Dynamics, 2006, 29(6): 1435-1440.

[18] Fahroo F, Ross I M. Costate estimation by a Legendre pseudospectral method. Journal of Guidance, Control, and Dynamics, 2001, 24(2): 270-277.

[19] Fahroo F, Ross I M. Direct trajectory optimization by a Chebyshev pseudospectral method. Journal of Guidance, Control, and Dynamics, 2002, 25(1): 160-166.

[20] Ross I M, Fahroo F. Pseudospectral knotting methods for solving optimal control problems. Journal of Guidance, Control, and Dynamics, 2004, 27(3): 397-405.

[21] Boyarko G A, Romano M, Yakimenko O A. Time-optimal reorientation of a spacecraft using an inverse dynamics optimization method. Journal of Guidance, Control, and Dynamics, 2011, 34(4): 1197-1208.

[22] Yakimenko O A. Shortcut-time spatial trajectories on-board optimization and their cognitive head-up display visualization for pilot's control actions during manoeuvring support. International Congress on Instrumentation in Aerospace Simulation Facilities, 1997: 246-256.

[23] Lukacs J A I, Yakimenko O A. Trajectory-shaping guidance for interception of ballistic missiles during the boost phase. Journal of Guidance, Control, and Dynamics, 2008, 31(5): 1524-1531.

[24] Paris S W, Riehl J P, Sjauw W K. Enhanced procedures for direct trajectory optimization using nonlinear programming and implicit integration. AIAA-2006-6309, 2006.

[25] Lu Z L. Ballistic missile interception from UCAV. Monterey: Naval Postgraduate School, 2011.

Trajectory Real-time Optimization Based on Variable Node Inverse Dynamics in the Virtual Domain

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Chen ZHANG, Hao ZHANG. Lunar-gravity-assisted low-energy transfer from Earth into Distant Retrograde Orbit (DRO) [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 326507-326507.
[2]	HUI Junpeng, WANG Ren, YU Qidong. Generating new quality flight corridor for reentry aircraft based on reinforcement learning [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 325960-325960.
[3]	YU Jianglong, DONG Xiwang, LI Qingdong, LYU Jinhu, REN Zhang. Distributed cooperative encirclement hunting guidance method for intercepting maneuvering target [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 325817-325817.
[4]	LIU Zichao, WANG Jiang, HE Shaoming, LI Yufei. A computational guidance algorithm for impact angle control based on predictor-corrector concept [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 325433-325433.
[5]	WANG Yinhan, FAN Shipeng, WU Guang, WANG Jiang, HE Shaoming. Fast guidance law identification approach for incoming missile based on GRU network [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(2): 325024-325024.
[6]	YAN Liming, GUO Xin, ZHAO Dongdong. Model predictive torque control of permanent magnet synchronous motor using novel analytic weighting factor assignment [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(12): 327785-327785.
[7]	WANG Yaning, WANG Hui, LIN Defu, YUAN Yifang. Guidance method for maneuvering target interception based on virtual look angle constraint [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 324799-324799.
[8]	TANG Yang, ZHU Xiaoping, ZHOU Zhou, YAN Fei. Cooperative guidance method based on impact time and angle control [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 324844-324844.
[9]	ZHANG Jili, ZHOU Dapeng, YANG Dapeng, LIU Ran, LIU Kai. Computation method for reachable domain of aerospace plane under the influence of no-fly zone [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(8): 525771-525771.
[10]	WANG Hui, LI Tao, TANG Daoguang, WU Junxiong, ZHANG Yi, LI Haiqing. Optimization and identification of shooter model and its influence on image guidance [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(7): 324607-324607.
[11]	CAO Lifei, CAO Hongsong, LIU Pengfei, LIU Hengzhu, XIAO Yanwen. Parameter optimization of proportional navigation guidance for 2D trajectory correction projectile with fixed canards [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(6): 324751-324751.
[12]	HUANG Xuxing, LI Shuang, YANG Bin, SUN Pan, LIU Xuewen, LIU Xinyan. Spacecraft guidance and control based on artificial intelligence: Review [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(4): 524201-524201.
[13]	MA Zongzhan, XU Zhi, TANG Shuo, ZHANG Qian. Improved iterative guidance method for launch vehicles [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(2): 324218-324218.
[14]	YOU Zhipeng, YANG Yong, LIU Gang, CAO Xiaorui, ZHENG Hongtao. Reentry guidance algorithm based on Kalman filter for aerospace vehicles [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(11): 524608-524608.
[15]	LI Guofei, ZHU Guoliang, LYU Jinhu, LIU Kexin, WU Chunfeng. Three-dimensional distributed cooperative guidance law for multiple leader-follower flight vehicles [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(11): 524926-524926.