Table of Contents Author Guidelines Submit a Manuscript
International Journal of Aerospace Engineering
Volume 2016 (2016), Article ID 2942686, 12 pages
http://dx.doi.org/10.1155/2016/2942686
Research Article

Triangle Interception Scenario: A Finite-Time Guidance Approach

1Xi’an Research Institute of High-Tech, Xi’an 710025, China
2Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China

Received 8 October 2015; Accepted 24 December 2015

Academic Editor: Christian Circi

Copyright © 2016 Yang Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. L. Boyell, “Defending a moving target against missile or torpedo attack,” IEEE Transactions on Aerospace and Electronic Systems, vol. 12, no. 4, pp. 522–526, 1976. View at Publisher · View at Google Scholar · View at Scopus
  2. L. R. Boyell, “Counterweapon aiming for defence of a moving target,” IEEE Transactions on Aerospace and Electronic Systems, vol. 16, no. 3, pp. 402–408, 1980. View at Google Scholar
  3. A. Ratnoo and T. Shima, “Line of sight guidance for defending an aircraft,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Toronto, Canada, 2010.
  4. T. Yamasaki and S. N. Balakrishnan, “Triangle intercept guidance for aerial defense,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Toronto, Canada, August 2010.
  5. V. Shaferman and T. Shima, “Cooperative multiple-model adaptive guidance for an aircraft defending missile,” Journal of Guidance, Control, and Dynamics, vol. 33, no. 6, pp. 1801–1813, 2010. View at Publisher · View at Google Scholar · View at Scopus
  6. T. Yamasaki, S. N. Balakrishnan, and H. Takano, “Modified CLOS intercept guidance for aircraft defense against a guided missile,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Portland, Ore, USA, 2011.
  7. A. Ratnoo and T. Shima, “Guidance laws against defended aerial targets,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Portland, Ore, USA, August 2011.
  8. A. Ratnoo and T. Shima, “Line-of-sight interceptor guidance for defending an aircraft,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 2, pp. 522–532, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. T. Shima, “Optimal cooperative pursuit and evasion strategies against a homing missile,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 2, pp. 414–425, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Rubinsky and S. Gutman, “Three body guaranteed pursuit and evasion,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Minneapolis, Minn, USA, August 2012. View at Publisher · View at Google Scholar
  11. A. Ratnoo and T. Shima, “Guidance strategies against defended aerial targets,” Journal of Guidance, Control, and Dynamics, vol. 35, no. 4, pp. 1059–1068, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. P. Dorato, “Short-time stability in linear time-varying systems,” in Proceedings of the IRE International Convention Record Part 4, vol. 1, pp. 83–87, New York, NY, USA, 1961.
  13. F. Amato, M. Ariola, and P. Dorato, “Finite-time control of linear systems subject to parametric uncertainties and disturbances,” Automatica, vol. 37, no. 9, pp. 1459–1463, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. F. Amato and M. Ariola, “Finite-time control of discrete-time linear systems,” IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 724–729, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. S. P. Bhat and D. S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM Journal on Control and Optimization, vol. 38, no. 3, pp. 751–766, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. W. Chen and L. C. Jiao, “Finite-time stability theorem of stochastic nonlinear systems,” Automatica, vol. 46, no. 12, pp. 2105–2108, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. H. Du, C. Qian, S. Yang, and S. Li, “Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems,” Automatica, vol. 49, no. 2, pp. 601–609, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. F. Amato, R. Ambrosino, C. Cosentino, and G. De Tommasi, “Input-output finite time stabilization of linear systems,” Automatica, vol. 46, no. 9, pp. 1558–1562, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. F. Amato, R. Ambrosino, M. Ariola, C. Cosentino, and G. De Tommasi, Finite-Time Stability and Control, vol. 453 of Lecture Notes in Control and Information Sciences, Springer, London, UK, 2014. View at Publisher · View at Google Scholar
  20. F. Amato, G. Carannante, G. De Tommasi, and A. Pironti, “Input-output finite-time stability of linear systems: necessary and sufficient conditions,” IEEE Transactions on Automatic Control, vol. 57, no. 12, pp. 3051–3063, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. F. Amato, G. De Tommasi, and A. Pironti, “Necessary and sufficient conditions for input-output finite-time stability of impulsive dynamical systems,” in Proceedings of the American Control Conference (ACC '15), pp. 5998–6003, Chicago, Ill, USA, July 2015. View at Publisher · View at Google Scholar
  22. Y. Guo, Y. Yao, S. Wang, K. Ma, K. Liu, and J. Guo, “Input-output finite-time stabilization of linear systems with finite-time boundedness,” ISA Transactions, vol. 53, no. 4, pp. 977–982, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. C. Li and Z. Qu, “Distributed finite-time consensus of nonlinear systems under switching topologies,” Automatica, vol. 50, no. 6, pp. 1626–1631, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. M. Golestani, I. Mohammadzaman, and A. R. Vali, “Finite-time convergent guidance law based on integral backstepping control,” Aerospace Science and Technology, vol. 39, pp. 370–376, 2014. View at Publisher · View at Google Scholar · View at Scopus
  25. M. Golestani and I. Mohammadzaman, “PID guidance law design using short time stability approach,” Aerospace Science and Technology, vol. 43, pp. 71–76, 2015. View at Publisher · View at Google Scholar
  26. Y. Guo, S. Wang, Y. Yao, and B. Yang, “Evader maneuver on consideration of energy consumption in flight vehicle interception scenarios,” Aerospace Science and Technology, vol. 15, no. 7, pp. 519–525, 2011. View at Publisher · View at Google Scholar · View at Scopus
  27. D. Zhou, S. Sun, and K. L. Teo, “Guidance laws with finite time convergence,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 6, pp. 1838–1846, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. Y. Guo, Y. Yao, S. Wang, B. Yang, K. Liu, and X. Zhao, “Finite-time control with H-infinity constraints of linear time-invariant and time-varying systems,” Journal of Control Theory and Applications, vol. 11, no. 2, pp. 165–172, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. Y. Guo, Y. Yao, S. C. Wang, B. Q. Yang, F. H. He, and P. Zhang, “Maneuver control strategies to maximize prediction errors in ballistic middle phase,” Journal of Guidance, Control, and Dynamics, vol. 36, no. 4, pp. 1225–1234, 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. Y. Guo, X. X. Hu, S. C. Wang, J. Xie, and Q. H. Gao, “Input-output finite-time guidance laws in triangle interception scenario,” in Proceedings of the 33rd Chinese Control Conference (CCC '14), pp. 804–809, IEEE, Nanjing , China, July 2014. View at Publisher · View at Google Scholar · View at Scopus
  31. O. M. Golan and T. Shima, “Head pursuit guidance for hypervelocity interception,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Providence, RI, USA, August 2004.
  32. T. Shima and O. M. Golan, “Head pursuit guidance,” Journal of Guidance, Control, and Dynamics, vol. 30, no. 5, pp. 1437–1444, 2007. View at Publisher · View at Google Scholar · View at Scopus