Table of Contents Author Guidelines Submit a Manuscript
Advances in Mathematical Physics
Volume 2017, Article ID 6894041, 13 pages
https://doi.org/10.1155/2017/6894041
Research Article

Robustness of Supercavitating Vehicles Based on Multistability Analysis

National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, China

Correspondence should be addressed to Tianhong Xiong; nc.ude.tsujn@gnohnaitgnoix

Received 23 January 2017; Accepted 9 March 2017; Published 5 April 2017

Academic Editor: Nikos Mastorakis

Copyright © 2017 Yipin Lv 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. A. Ducoin, B. Huang, and Y. L. Young, “Numerical modeling of unsteady cavitating flows around a stationary hydrofoil,” International Journal of Rotating Machinery, vol. 2012, Article ID 215678, 17 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. B. Vanek, J. Bokor, G. J. Balas, and R. E. A. Arndt, “Longitudinal motion control of a high-speed supercavitation vehicle,” Journal of Vibration and Control, vol. 13, no. 2, pp. 159–184, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. Q.-T. Li, Y.-S. He, L.-P. Xue, and Y.-Q. Yang, “A numerical simulation of pitching motion of the ventilated supercaviting vehicle around its nose,” Chinese Journal of Hydrodynamics. A, vol. 26, no. 6, pp. 689–696, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. J. Dzielski and A. Kurdila, “A benchmark control problem for supercavitating vehicles and an initial investigation of solutions,” Journal of Vibration and Control, vol. 9, no. 7, pp. 791–804, 2003. View at Publisher · View at Google Scholar · View at Scopus
  5. M. A. Hassouneh, V. Nguyen, B. Balachandran, and E. H. Abed, “Stability analysis and control of supercavitating vehicles with advection delay,” Journal of Computational and Nonlinear Dynamics, vol. 8, no. 2, Article ID 021003, 10 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  6. B. Vanek, J. Bokor, and G. Balas, “Theoretical aspects of high-speed supercavitation vehicle control,” American Control Conference, vol. 6, no. 3, pp. 1–4, 2006. View at Google Scholar
  7. G. Lin, B. Balachandran, and E. H. Abed, “Nonlinear dynamics and bifurcations of a supercavitating vehicle,” IEEE Journal of Oceanic Engineering, vol. 32, no. 4, pp. 753–761, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. G. Lin, B. Balachandran, and E. H. Abed, “Bifurcation behavior of a supercavitating vehicle,” in Proceedings of the ASME International Mechanical Engineering Congress and Exposition, pp. 293–300, Chicago, Ill, USA, November 2006. View at Publisher · View at Google Scholar
  9. G. J. Lin, B. Balachandran, and E. H. Abed, “Dynamics and control of supercavitating vehicles,” Journal of Dynamic Systems, Measurement, and Control, vol. 130, no. 2, Article ID 021003, pp. 281–287, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. B. Vanek and G. Balas, “Control of high-speed underwater vehicles,” Control of Uncertain Systems: Modeling, Approximation and Design, no. 329, pp. 25–44, 2006. View at Google Scholar
  11. A. Goel, Robust control of supercavitating vehicles in the presence of dynamic and uncertain cavity [Doctor's thesis], University of Florida, Gainesville, Fla, USA, 2005.
  12. X. H. Zhao, Y. Sun, Z. K. Qi, and M. Y. Han, “Catastrophe characteristics and control of pitching supercavitating vehicles at fixed depths,” Ocean Engineering, vol. 112, pp. 185–194, 2016. View at Publisher · View at Google Scholar · View at Scopus
  13. M. L. Wang and G. L. Zhao, “Robust controller design for supercavitating vehicles based on BTT maneuvering strategy,” in Proceedings of the International Conference on Mechatronics & Automation, pp. 227–231, 2007.
  14. G. A. Leonov and N. V. Kuznetsov, “Hidden attractors in dynamical systems: from hidden oscillations in hilbert-kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in chua circuits,” International Journal of Bifurcation and Chaos, vol. 23, no. 1, Article ID 1330002, 2013. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Chen, M. Li, Q. Yu, B. Bao, Q. Xu, and J. Wang, “Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua's circuit,” Nonlinear Dynamics, vol. 81, no. 1-2, pp. 215–226, 2015. View at Publisher · View at Google Scholar · View at Scopus
  16. J. C. A. de Bruin, A. Doris, N. van de Wouw, W. P. M. H. Heemels, and H. Nijmeijer, “Control of mechanical motion systems with non-collocation of actuation and friction: a Popov criterion approach for input-to-state stability and set-valued nonlinearities,” Automatica, vol. 45, no. 2, pp. 405–415, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. M. A. Kiseleva, N. V. Kuznetsov, G. A. Leonov, and P. Neittaanmäki, “Drilling systems failures and hidden oscillations,” in Proceedings of the IEEE 4th International Conference on Nonlinear Science and Complexity (NSC '12), pp. 109–112, IEEE, Budapest, Hungary, August 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. G. A. Leonov, N. V. Kuznetsov, O. A. Kuznetsova, S. M. Seledzhi, and V. I. Vagaitsev, “Hidden oscillations in dynamical systems,” WSEAS Transactions on Systems and Control, vol. 6, no. 2, pp. 54–67, 2011. View at Google Scholar · View at Scopus
  19. T. Lauvdal, R. M. Murray, and T. I. Fossen, “Stabilization of integrator chains in the presence of magnitude and rate saturations; a gain scheduling approach,” in Proceedings of the 36th IEEE Conference on Decision and Control, pp. 4004–4005, December 1997. View at Scopus