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A robust hybrid nonlinear guidance law for intercepting a non-cooperative maneuvering target

  • Xiaodong Yan (a1) and Shi Lyu (a1)

Abstract

This paper has proposed a new robust hybrid nonlinear guidance law, which accounts for a missile’s terminal line-of-sight (LOS) angle constraint, in order to intercept a non-cooperative maneuvering target. The proposed hybrid nonlinear guidance strategy consists of two phases; in the first phase, a guidance law named PIGL is derived from prescribed performance control and the inertial delay control method. In PIGL, a revised prescribed performance function is put forward, and a prescribed performance controller with unknown uncertainties is then derived. The controller smoothly drives both the LOS angle and its rate to a predesigned small region under unknown uncertainties that are induced by target’s maneuvers within a fixed time. Then, a guidance law named SIGL is activated, which is derived from sliding mode control and inertial delay control. By driving the desired sliding mode variable to zero within a finite time, the SIGL guidance law is able to achieve high terminal interception accuracy. The robustness of both of the proposed sub-guidance laws has been proved explicitly in this paper. The hybrid guidance law has the advantage of a tunable convergence rate of the LOS angle and the rate of the LOS angle at the beginning period, by which an excessive large initial maneuver can be avoided. Meanwhile, the hybrid guidance law also has the advantage of lower sensitivity to errors in the estimation of the time-to-go.

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1. Song, H., Zhang, T., Zhang, G. and Lu, C. Integrated interceptor guidance and control with prescribed performance, International Journal of Robust and Nonlinear Control, 2015, 25, (16), pp 31793194.
2. Weiss, G. and Rusnak, I. All-Aspect Three-Dimensional Guidance Law Based on Feedback Linearization, Journal of Guidance, Control, and Dynamics, 2015, 38, (12), pp 18.
3. Yang, C.-D. and Chen, H.-Y. Nonlinear H robust guidance law for homing missiles, Journal of Guidance, Control, and Dynamics, 1998, 21, (6), pp 882890.
4. Penglei, Z., Chen, W. and Yu, W. Guidance law for intercepting target with multiple no-fly zone constraints, Aeronautical Journal, 2017, 121, (1244), pp 14791501.
5. He, S. and Lin, D. Sliding mode-based continuous guidance law with terminal angle constraint, The Aeronautical Journal, 2016, 120, (1229), pp 11751195.
6. Yamasaki, T., Balakrishnan, S., Takano, H. and Yamaguchi, I. Sliding mode-based intercept guidance with uncertainty and disturbance compensation, Journal of the Franklin Institute, 2015, 352, (11), pp 51455172.
[7] Shin, H.S., Li, K.B. and Tsourdos, A. A New Three-Dimensional Sliding Mode Guidance Law Variation with Finite Time Convergence, IEEE Transactions on Aerospace & Electronic Systems, 2017, 53, (5), pp 22212232.
8. Shima, T. Intercept-angle guidance, Journal of Guidance, Control, and Dynamics, 2011, 34, (2), pp 484492.
9. Ginoya, D., Shendge, P. and Phadke, S. Sliding mode control for mismatched uncertain systems using an extended disturbance observer, IEEE Transactions on Industrial Electronics, 2014, 4, (61), pp 19831992.
10. Guo, Z., Guo, J. and Zhou, J. Adaptive attitude tracking control for hypersonic reentry vehicles via sliding mode-based coupling effect-triggered approach, Aerospace Science and Technology, 2018, 78, pp 228240.
11. Zhao, Y., Sheng, Y. and Liu, X. Sliding mode control based guidance law with impact angle constraint, Chinese Journal of Aeronautics, 2014, 27, (1), pp 145152.
12. Lin, C.-L., Hsieh, S.-L. and Lin, Y.-P. Trajectory estimation based on extended state observer with Fal-filter, Aeronautical Journal, 2015, 119, (1218), pp 10171031.
13. Phadke, S. and Talole, S. Sliding mode and inertial delay control based missile guidance, IEEE Transactions on Aerospace and Electronic Systems, 2012, 48, (4), pp 33313346.
14. He, S., Lin, D. and Wang, J. Robust terminal angle constraint guidance law with autopilot lag for intercepting maneuvering targets, Nonlinear Dynamics, 2015, 81, (1–2), pp 881892.
15. Shin, H.-S., Lee, J.-I. and Tsourdos, A. A New Impact Angle Control Guidance Law to Reduce Sensitivity on Initial Errors, Advances in Aerospace Guidance, Navigation and Control, 2015, Springer, Cham.
16. Liu, J. and Wang, X. Advanced sliding mode control for mechanical systems, Springer, Heidelberg, Berlin, Germany, 2012.
17. Lyu, S. and Zhu, Z.H. Two-dimensional Continuous Terminal Interception Guidance Law with Predefined Convergence Performance, IEEE Access, 2018, 6, pp 4677146780.
18. Lyu, S., Zhu, Z.H., Tang, S. and Yan, X. Prescribed performance slide mode guidance law with terminal line-of-sight angle constraint against maneuvering targets, Nonlinear Dynamics, 2017, 88, (3), pp 21012110.
19. Grinfeld, N. and Ben-Asher, J.Z. Minimal-Jerk Missile Guidance Law, Journal of Guidance, Control, and Dynamics, 2015, 38, (8), pp 16.
20. Bryson, A.E., Ho, Y.C., Siouris, G.M. Applied optimal control: optimization, estimation and control, IEEE Transactions on Systems Man and Cybernetics, 1979, 9, (6), pp 366367.
21. Bechlioulis, C.P. and Rovithakis, G.A. Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems, Automatica, 2009, 45, (2), pp 532538.
22. Hong, Y., Huang, J. and Xu, Y. On an output feedback finite-time stabilization problem, IEEE Transactions on Automatic Control, 2001, 46, (2), pp 305319.

Keywords

A robust hybrid nonlinear guidance law for intercepting a non-cooperative maneuvering target

  • Xiaodong Yan (a1) and Shi Lyu (a1)

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