The Design of Finite-time Convergence Guidance Law for Head Pursuit based on Adaptive Sliding Mode Control

Cheng Zhang, Ke Zhang, Jingyu Wang

2016

Abstract

The high-speed target interception plays a vital role in the modern industry with many application scenarios. Due to the difficulties of direct interception in high speed, the head pursuit intercept is frequently considered for the target of re-entering flight vehicle. In this paper, a novel terminal sliding mode control method is proposed for the interception of high-speed maneuvering target, in which the finite convergence guidance law is initially designed under the constraint of intercept angle. By introducing the mathematical model of correlative motion between interceptor and target, the sliding surface is researched and designed to meet the critical conditions of head pursuit intercepting. Meanwhile, considering the dynamic characteristics of both interceptor and target, an adaptive guidance law is therefore proposed to compensate the modelling errors, which goal is to improve the accuracy of interception. The stability analysis is theoretically proved in terms of the Lyapunov method. Numerical simulations are presented to validate the robustness and effectiveness of the proposed guidance law, by which good intercepting performance can be supported.

References

  1. Shima, T., & Golan, O. M. (2007). Head pursuit guidance. Journal of Guidance, Control, and Dynamics, 30(5), 1437-1444.
  2. Goyal, V., Deolia, V. K., & Sharma, T. N. (2015). Robust Sliding Mode Control for Nonlinear Discrete-Time Delayed Systems Based on Neural Network. Intelligent Control and Automation, 6(01), 75.
  3. Zhihong, M., Paplinski, A. P., & Wu, H. R. (1994). A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators. Automatic Control, IEEE Transactions on, 39(12), 2464-2469.
  4. Feng, Y., Yu, X., & Han, F. (2013). High-order terminal sliding-mode observer for parameter estimation of a permanent-magnet synchronous motor. Industrial Electronics, IEEE Transactions on, 60(10), 4272- 4280.
  5. Kumar, S. R., Rao, S., & Ghose, D. (2014). Nonsingular terminal sliding mode guidance with impact angle constraints. Journal of Guidance, Control, and Dynamics, 37(4), 1114-1130.
  6. Liu, Y. J., & Li, Y. X. (2010). Adaptive fuzzy outputfeedback control of uncertain SISO nonlinear systems. Nonlinear Dynamics, 61(4), 749-761.
  7. Li, P., & Yang, G. (2011). An adaptive fuzzy design for fault-tolerant control of MIMO nonlinear uncertain systems. Journal of Control Theory and Applications, 9(2), 244-250.
  8. Gu, Y. J., Yin, X. X., Liu, H. W., Li, W., & Lin, Y. G. (2015). Fuzzy terminal sliding mode control for extracting maximum marine current energy. Energy,90, 258-265.
  9. Zhao, D., Zhu, Q., & Dubbeldam, J. (2015). Terminal sliding mode control for continuous stirred tank reactor. Chemical Engineering Research and Design, 94, 266-274.
  10. Behera, A. K., & Bandyopadhyay, B. (2015). Steady-state behaviour of discretized terminal sliding mode. Automatica, 54, 176-181.
  11. Madani, T., Daachi, B., & Djouani, K. (2015). Nonsingular terminal sliding mode controller: Application to an actuated exoskeleton. Mechatronics, 33, 136-145.
  12. Lu, K., Xia, Y., Zhu, Z., & Basin, M. V. (2012). Sliding mode attitude tracking of rigid spacecraft with disturbances. Journal of the Franklin Institute, 349(2), 413-440.
  13. Lee, D., & Vukovich, G. (2015). Adaptive sliding mode control for spacecraft body-fixed hovering in the proximity of an asteroid. Aerospace Science and Technology, 46, 471-483.
  14. Hua, W., & Chen, X. (2011). Adaptive sliding-mode guidance law for head pursuit. Journal of Harbin Institute of Technology, 43(11), 30-33.
  15. Song, J., & Song, S. (2015). Three-dimensional guidance law based on adaptive integral sliding mode control. Chinese Journal of Aeronautics, 29(1), 202- 214.
  16. Yu, S., Yu, X., Shirinzadeh, B., & Man, Z. (2005). Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica, 41(11), 1957-1964.
  17. Dan Yang. (2013). Research on variable structure terminal guidance law of space interception. Shanghai Jiao Tong University.
Download


Paper Citation


in Harvard Style

Zhang C., Zhang K. and Wang J. (2016). The Design of Finite-time Convergence Guidance Law for Head Pursuit based on Adaptive Sliding Mode Control . In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-758-198-4, pages 110-118. DOI: 10.5220/0005987701100118


in Bibtex Style

@conference{icinco16,
author={Cheng Zhang and Ke Zhang and Jingyu Wang},
title={The Design of Finite-time Convergence Guidance Law for Head Pursuit based on Adaptive Sliding Mode Control},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2016},
pages={110-118},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005987701100118},
isbn={978-989-758-198-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - The Design of Finite-time Convergence Guidance Law for Head Pursuit based on Adaptive Sliding Mode Control
SN - 978-989-758-198-4
AU - Zhang C.
AU - Zhang K.
AU - Wang J.
PY - 2016
SP - 110
EP - 118
DO - 10.5220/0005987701100118