Abstract
In order to meet the needs of high-precision guidance for missile-guided maneuvering targets in the presence of towed bait interference, this paper proposes a new guidance strategy based on heading angle method and parallel approaching method. Its main idea: a suitable angle is determined by heading angle method which of the missile trajectory is above that of the towing bait. Meanwhile, the accurate interception of missiles to targets is guaranteed by parallel approaching method. Firstly, system models of missile and target with towed decoy are established. Then, considering unknown bounded system disturbances, a controller is given based on sliding mode, back-stepping method. Furthermore, to solve the input saturation problem, an anti-saturation controller is given using adaptive and back-stepping sliding mode methods. Finally, strict proofs of the two controllers are given using Lyapunov stability theory, and simulations are carried out to verify the effectiveness of the two controllers.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W. X. Bai, H Tian, and J. F. T, “Analysis of towed decoy jamming on monopulse radar,” Electronic Information Warfare Technology, vol. 22, no. 6, pp. 39–42, 2007.
W. J. Kerins. “Analysis of towed decoys,” IEEE transactions on aerospace and electronic systems, vol. 29, no. 4, pp. 1222–1227, 1993.
D.K. Barton, Radar Evaluation Handbook, Artech House, London, 1991.
N. B. Benton, “Fiber optic microwave link applications in towed decoy electronic countermeasures systems,” Proc. of SPIE’s 1995 International Symposium on Optical Science, Engineering, and Instrumentation. International Society for Optics and Photonics, USA. pp. 85–92, July 1995.
Y. L. Lu, Z. X. Tong, C. Z. Wang, and J. Jian, “Aerodynamic and dynamic characteristics of aeronautic towed decoy,” Journal of Beijing University of Aeronautics and Astronautics, vol. 37, no. 4, pp. 395–398, 2011.
W. D. Bai, A. F. Li, and S. B. Li, “Simulation and analysis of radar decoy jamming,” Electronic Information Warfare Technology, vol. 23. no. 2, pp. 53–57, 2008.
F. Neri, “Anti-monopulse jamming techniques,” Microwave and Optoelectronics Conference, 2001. IMOC 2001. Proceedings of the 2001 SBMO/IEEE MTT-S International, IEEE, Belem, Brazil vol. 2, pp. 45–50, Aug. 2001.
S. D. Brierley and R. Longchamp, “Application of slidingmode control to air-air interception problem,” IEEE Transactions on Aerospace and Electronic Systems, vol. 26, no. 2, pp. 306–325, 1990.
A. Ilchmann and D. H. Owens, “Adaptive stabilization with exponential decay,” Systems & Control Letters, vol. 14, no. 5, pp. 437–443, 1990.
D. Y. N. Chavez and J. A. Moreno, “Second-order sliding mode output feedback controller with adaptation,” International Journal of Adaptive Control and Signal Processing, vol. 30, no. 8–10, pp. 1523–1543, 2016.
J. H. Song, S. M. Song, and H. B. Zhou, “Adaptive nonsingular fast terminal sliding mode guidance law with impact angle constraints,” International Journal of Control, Automation and Systems, vol. 14, no. 1, pp. 99–114, 2016.
J. H. Song and S. M. Song, “Three-dimensional guidance law based on adaptive integral sliding mode control,” Chinese Journal of Aeronautics, vol. 29, no. 1, pp. 202–214, 2016.
Z. X. Zhang, S. H. Li, and S. Luo, “Composite guidance laws based on sliding mode control with impact angle constraint and autopilot lag,” Transactions of the Institute of Measurement and Control, vol. 35, no. 6, pp. 764–776, 2013.
D. Zhou, C. D. Mu, and W. Xu, “Fuzzy adaptive variable structure guidance with application to space interception,” Tsinghua Science and Technology, vol. 4, no. 4, pp. 1610–1614, 1999.
D. Zhou, C. D. Mu, and W. Xu, “Adaptive sliding-mode guidance of a homing missile,” Journal of Guidance, Control, and Dynamics, vol. 22, no. 4, pp. 589–594. 1999.
J. C. Holloway and M. Krstic, “A predictor observer for seeker delay in the missile homing loop,” Proc. of 12th IFAC Workshop on Time Delay Systems, Ann Arbor, MI, USA, vol. 48, pp. 416–421, 2015.
T. R. Oliveira, J. P. V. S. Cunha, and A. Battistel, “Global stability and simultaneous compensation of state and output delays for nonlinear systems via output-feedback sliding mode control,” Journal of Control, Automation and Electrical Systems, vol. 27, no. 6, pp. 608–6202, 2016.
S. Lee, Y. Kim, G. Moon, and B. E. Jun, “Adaptive backstepping autopilot design for missiles of fast time-varying velocity,” IFAC-PapersOnLine, vol. 49, no. 17, pp. 474–479, 2016.
S. F. Xiong, W. H. Wang, X. D. Liu, S. Wang, and Z. Q. Chen, “Guidance law against maneuvering targets with intercept angle constraint,” ISA Transactions, vol. 53, no. 4, pp. 1332–1342, 2014.
M. Golestani, I. Mohammadzaman, and A. R. Vali, “Finitetime convergent guidance law based on integral backstepping control,” Aerospace Science and Technology, vol.39, pp. 370–376. 2014.
S. M. He, W. Wang, and J. Wang, “Three-dimensional multivariable integrated guidance and control design for maneuvering targets interception,” Journal of the Franklin Institute, vol. 353, no. 16, pp. 4330–4350, 2016.
X. L. Shao and H. J. Wang, “Back-stepping active disturbance rejection control design for integrated missile guidance and control system via reduced-order ESO,” ISA Transactions, vol. 57, pp. 10–22, 2015.
M. P. Ran, Q. Wang, D. H. Hou, and C. Y. Dong, “Backstepping design of missile guidance and control based on adaptive fuzzy sliding mode control,” Chinese Journal of Aeronautics, vol. 27, no. 3, pp. 634–642, 2014.
M. Chen, S. S. Ge, and B. B. Ren, “Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints,” Automatica, vol. 47, no. 3, pp. 452–465, 2011.
X. L. Liang, Z. H. Ming, and G. R. Duan, “Adaptive dynamic surface control for integrated missile guidance and autopilot in the presence of input saturation,” Journal of Aerospace Engineering, vol. 28, no. 5, 2014.
M. Chen, G. Tao, and B. Jiang, “Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation,” IEEE Transactions on Neural Networks and Learning Systems, vol. 26, no. 9, pp. 2086–2097, 2015.
D. Zhou and B Xu, “Adaptive dynamic surface guidance law with input saturation constraint and autopilot dynamics,” Journal of Guidance, Control, and Dynamics, vol. 39, no. 1, pp. 1–8, 2016.
Q. L. Hu, B. Jiang, and M. I. Friswell, “Robust saturated finite time output feedback attitude stabilization for rigid spacecraft,” Journal of Guidance, Control, and Dynamics, vol. 37, no. 6, pp. 1914–1929, 2014.
G. Y. Zhang, Phased Array Radar Theory, National Defence Industry Press, Beijing, 2009.
Y. X. Zhang, M.W. Sun, and Z. Q. Chen, “Finite-time convergent guidance law with impact angle constraint based on sliding-mode control,” Nonlinear Dynamics, vol. 70, no. 1, pp. 619–625, 2012.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Xiaojie Su under the direction of Editor Hamid Reza Karimi. This paper was supported by the National Natural Science Foundation of China under Grant 6117403, the State Key Program of National Natural Science of China under Grant 61333003, the Aeronautical Science Foundation of China under Grant 20140177002.
JI-Peng Dong received his M.S. degrees in student in the School of Astronautics at Harbin Institute of Technology. His main research interests include sliding mode control and adaptive control, missile guidance and control systems.
Jing-Guang Sun received his M.S. degree in School of Automation from Harbin Engineering University he is a Ph.D. student in the School of Astronautics at Harbin Institute of Technology. His main research interests include Hypersonic Aircrafts control and nonlinear control.
Yong Guo received his Ph.D. degree in Control Science and Engineering from Harbin Institute of Technology in 2016. Currently, he is an assistant professor in the School of Automation at Northwestern Polytechnical University. His main research interests include spacecraft coordination control and nonlinear control.
Shen-Min Song received his Ph.D. degree in Control Theory and Application from Harbin Institute of Technology in 1996. He carried out postdoctoral research at Tokyo University from 2000 to 2002. He is currently a professor in the School of Astronautics at Harbin Institute of Technology. His main research interests include spacecraft guidance and control, intelligent control, and nonlinear theory and application.
Rights and permissions
About this article
Cite this article
Dong, JP., Sun, JG., Guo, Y. et al. Guidance Laws against Towed Decoy Based on Adaptive Back-stepping Sliding Mode and Anti-saturation Methods. Int. J. Control Autom. Syst. 16, 1724–1735 (2018). https://doi.org/10.1007/s12555-016-0784-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-016-0784-1