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Novel guidance model and its application for optimal re-entry guidance

Published online by Cambridge University Press:  02 October 2018

C.W. Jiang*
Affiliation:
China Academy of Launch Vehicle TechnologyBeijing China
G.F. Zhou
Affiliation:
China Academy of Launch Vehicle TechnologyBeijing China
B. Yang
Affiliation:
School of Astronautics Harbin Institute of TechnologyHarbin China
C.S. Gao
Affiliation:
School of Astronautics Harbin Institute of TechnologyHarbin China
W.X. Jing
Affiliation:
School of Astronautics Harbin Institute of TechnologyHarbin China

Abstract

Aiming at three-dimensional (3D) terminal guidance problem, a novel guidance model is established in this paper, in which line-of-sight (LOS) range is treated as an independent variable, describing the relative motion between the vehicle and the target. The guidance model includes two differential equations that describe LOS’s pitch and yaw motions in which the pitch motion is separately decoupled. This model avoids the inaccuracy of simplified two-dimensional (2D) guidance model and the complexity of 3D coupled guidance model, which not only maintains the accuracy but also simplifies the guidance law design. The application of this guidance model is studied for optimal re-entry guidance law with impact angle constraint, which is presented in the form of normal overload. Compared with optimal guidance laws based on traditional guidance model, the proposed one based on novel guidance model is implemented with the LOS range instead of time-to-go, which avoids the problem of the time-to-go estimation of traditional optimal guidance laws. Finally, the correctness and validity of the guidance model and guidance law are verified by numerical simulation. The guidance model and guidance law proposed in this paper provide a new way for the design of terminal guidance.

Type
Survey Papers
Copyright
© Royal Aeronautical Society 2018 

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References

1. Chen, K.J. and Zhao, H.Y. An optimal reentry maneuver guidance law applying to attack the ground fixed target, J of Astronautics, 1994, 15, (1), pp 17.Google Scholar
2. Zhao, H.Y. Dynamics and Guidance of Reentry Vehicle, 1997.Google Scholar
3. Moon, J., Kim, K. and Kim, Y. Design of Missile Guidance Law via Variable Structure Control, J of Guidance, Control and Dynamics, 2001, 24, (4), pp 659664.Google Scholar
4. Yamasaki, T., Balakrishnan, S.N., Takano, H. and Yamaguchi, I. Sliding mode-based intercept guidance with uncertainty and disturbance compensation, J of the Franklin Institute-Engineering and Applied Mathematics, 2015, 352, (11), pp 51455172.Google Scholar
5. Geng, F. and Zhu, X.P. The Research of nonlinear robust guidance law for high speed unmanned attack air vehicle, J of Astronautics, 2008, 29, (5), pp 922927.Google Scholar
6. Lechevin, N. and Rabbath, C.A. Lyapunov-based nonlinear missile guidance, J of Guidance, Control and Dynamics, 2004, 27, (5), pp 10961102.Google Scholar
7. Wang, X.H. and Wang, J.Z. Partial integrated missile guidance and control with finite time convergence, J of Guidance, Control and Dynamics, 2013, 36, (5), pp 13991409.Google Scholar
8. Li, G.L., Yan, H. and Ji, H.B. A guidance law with finite time convergence considering autopilot dynamics and uncertainties, Int J of Control Automation and Systems, 2014, 12, (5), pp 10111017.Google Scholar
9. Qu, P.P., Shao, C.T. and Zhou, D. Finite time convergence guidance law accounting for missile autopilot, J of Dynamic Systems Measurement and Control, 2015, 137, (5), pp 18.Google Scholar
10. Song, S.H. and Ha, I.J. A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws, IEEE Transactions on Aerospace and Electronic Systems, 1994, 30, (1), pp 238247.Google Scholar
11. Oh, J.H. and Ha, I.J. Capturability of the 3-dimensional pure PNG law, IEEE Transactions on Aerospace and Electronic Systems, 1999, 35, (2), pp 491503.Google Scholar
12. Yang, C.D. and Yang, C.C. Analytical solution of three-dimensional realistic true proportional navigation, J of Guidance, Control and Dynamics, 1996, 19, (2), pp 569577.Google Scholar
13. Yang, C.D. and Yang, C.C. Analytical solution of 3D true proportional navigation, IEEE Transactions on Aerospace and Electronic Systems, 1996, 32, (3), pp 15091522.Google Scholar
14. Wu, L.J. Designing method of robust dynamic inversion for 3-D terminal guidance law, Systems Engineering and Electronics, 2007, 29, (8), pp 13311333.Google Scholar
15. Zhu, J.W., Liu, L.H., Tang, G.J. and Bao, W.M. Three-dimensional nonlinear coupling guidance for hypersonic vehicle in dive phase, Science China Technological Sciences, 2014, 57, (9), pp 18241833.Google Scholar
16. Weiss, G. and Rusnak, I. All-aspect three-dimensional guidance law based on feedback linearization, J of Guidance, Control and Dynamics, 2015, 38, (12), pp 24212428.Google Scholar
17. Chen, B.S., Chen, Y.Y. and Lin, C.L. Nonlinear fuzzy H guidance law with saturation of actuators against maneuvering targets, IEEE Transactions on Control Systems and Technology, 2002, 10, (6), pp 769779.Google Scholar
18. Shieh, C.S. Design of three-dimensional missile guidance law via tunable nonlinear H-infinity control with saturation constraint, IET Control Theory and Applications, 2007, 1, (3), pp 756763.Google Scholar
19. Moosapour, S.S., Alizadeh, G., Khanmohammadi, S. and Moosapour, S.H. A novel nonlinear robust guidance law design based on SDRE technique, Int J of Aeronautical and Space Sciences, 2012, 13, (3), pp 369376.Google Scholar
20. Guo, C. and Liang, X.G. Guidance law for near space interceptor based on block backstepping sliding mode and extended sate observer, Int J of Aeronautical and Space Sciences, 2014, 15, (2), pp 163172.Google Scholar
21. Yuan, Y.B. and Zhang, K. Design of a robust guidance law via active disturbance rejection control, J of Systems Engineering and Electronics, 2015, 26, (2), pp 353358.Google Scholar
22. Zhang, Z.X., Man, C.Y., Li, S.H. and Jin, S. Finite-time guidance laws for three-dimensional missile-target interception, Proceedings of the Institution of Mechanical Engineers Part G – J of Aerospace Engineering, 2016, 230, (2), pp 392403.Google Scholar
23. Shafiei, M.H. and Binazadeh, T. Partial stabilization-based guidance, ISA Transactions, 2012, 51, (1), pp 141145.Google Scholar
24. Qian, X.F., Lin, R.X. and Zhao, Y.N. Flight Dynamics of Missile, Beijing Institute of Technology Press, Beijing, 2008.Google Scholar