Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-22T10:17:54.699Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  02 October 2019

Xiaodong Yan*
Affiliation:
Shaanxi Key Laboratory of Aerospace Flight Vehicle Technology, Northwestern Polytechnical University, Xi’an, China
Shi Lyu
Affiliation:
Shaanxi Key Laboratory of Aerospace Flight Vehicle Technology, Northwestern Polytechnical University, Xi’an, China

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.

Type
Research Article
Copyright
© Royal Aeronautical Society 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.Google Scholar
He, S. and Lin, D. Sliding mode-based continuous guidance law with terminal angle constraint, The Aeronautical Journal, 2016, 120, (1229), pp 11751195.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
Shima, T. Intercept-angle guidance, Journal of Guidance, Control, and Dynamics, 2011, 34, (2), pp 484492.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
Liu, J. and Wang, X. Advanced sliding mode control for mechanical systems, Springer, Heidelberg, Berlin, Germany, 2012.Google Scholar
Lyu, S. and Zhu, Z.H. Two-dimensional Continuous Terminal Interception Guidance Law with Predefined Convergence Performance, IEEE Access, 2018, 6, pp 4677146780.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
Grinfeld, N. and Ben-Asher, J.Z. Minimal-Jerk Missile Guidance Law, Journal of Guidance, Control, and Dynamics, 2015, 38, (8), pp 16.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar