Second Order Sliding Mode Control With Finite Time Convergence

[1] Slotine, J. J. E., and Li, W., Applied Nonlinear Control, Prentice-Hall, Upper Saddle River, NJ,
pp. 276-309, 1991.
[2] Khalil, H. K, Nonlinear Systems, Prentice-Hall, Upper Saddle River, NJ, pp. 601-617, 1996.
[3] Evangelista, C., Puleston, P., and Valenciaga, F.,“Wind turbine efficiency optimization.
Comparative study of controllers based on second order sliding modes,” International Journal of
Hydrogen Energy ,vol. 35, pp. 5934–5939, 2010.
[4] Fridman, L., Moreno, J. and Iriarte, R., Sliding Modes after the First Decade of the 21st Century,
Springer, 2011.
[5] Kaveh, P. and Shtessel, Y. B., “Blood glucose regulation using higher-order sliding mode
control,” International Journal of Robust and Nonlinear Control, John Wiley & Sons, Ltd, 2007.
[6] Shtessel, Y. B., Shkolnikov, I. A., and Brown, M. D. J., “An Asymptotic Second-Order Smooth
Sliding Mode Control,” Asian Journal of Control,Vol. 5, No. 4, pp. 498-504, 2003.
[7] Levant, A., “Principles of 2-slidingmode design,”Automatica, vol. 43, pp. 576 – 586, 2007.
[8] Mondal, S., and Mahanta, Ch., “Nonlinear sliding surface based second order sliding mode controller
for uncertain linear systems,” Commun Nonlinear Sci Numer Simulat, vol.16, pp. 3760–3769, 2011.
[9] Mihoub, M., Nouri, A. S. and Abdennour, R. B., “Real-time application of discrete second order
sliding mode control to a chemical reactor,”Elsevier Control Engineering Practice, vol. 17, pp.
1089–1095, 2009.
[10] Bhat, S. P. and Bernstain, D. S., “Continues finite time stabilization of the translational and rotational
double integrators,” IEEE Transaction on Automatic Control, vol. 43, pp. 678-682, 1998.
[11] Hong, Y, “Finite-time stabilization and stabilizability of a class of controllable systems,”
Systems & Control letters, vol. 46, pp. 231-236, 2002.
[12] Hong, Y., Huang, J. and Xu, Y., “On an output feedback finite-time stabilization problem,” IEEE
Transaction on Automatic Control, vol. 46, pp.305-309, 2001.
[13] Rew, D.Y., Tahk, M. J. and Cho, H., “Short Time Stability of Proportional Navigation Guidance
Loop,” IEEE Transaction on Aerospace and Electronic Systems, vol. 32, pp. 1107-1115, 1996.
[14] Zhou, D. and Sun, S, “Guidance Laws with Finite Time Convergence,” Journal of Guidance, Control,
and Dynamics, vol. 32, pp. 1838-1846, 2009.
[15] Shtessel, Y. B., Shkolnikov, I. A., and Levant, A., “Smooth second-order sliding modes: Missile
guidance application,” Automatica, vol. 43, pp.1470 – 1476, 2007.
[16] Siouris, G. M., “Missile Guidance and Control Systems,” Springer, pp. 194–228, 2005.
[17] Moon, J., Kim, K., and Kim, Y., “Design of Missile Guidance Law via Variable Structure
Control,” Journal of Guidance, Control, and Dynamics, vol. 24, no. 4, pp. 659 – 664, 2001.
[18] Zarchan, P., “Tactical and Strategic Missile Guidance,” AIAA Series, Vol. 199, pp. 143–152,
2002.