Sliding Mode Control with Fuzzy Boundary Layer to Air-Air Interception Problem

Authors: Mustafa Resa Becan

Abstract:

The performance of a type of fuzzy sliding mode control is researched by considering the nonlinear characteristic of a missile-target interception problem to obtain a robust interception process. The variable boundary layer by using fuzzy logic is proposed to reduce the chattering around the switching surface then is applied to the interception model which was derived. The performances of the sliding mode control with constant and fuzzy boundary layer are compared at the end of the study and the results are evaluated.

Keywords: Sliding mode control, fuzzy, boundary layer, interception problem.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1073667

References:

[1] J. Guo, F. -C. Chiu and C. -C. Huang , " Design of a sliding mode fuzzy controller for the guidance and control of an autonomous underwater vehicle" Ocean Engineering, Volume 30, April 2003, pp. 2137-2155.
[2] Palm et al. R. Palm, D. Driankov and H. Hellendoorn, Model Based Fuzzy Control: Fuzzy Gain Schedulers and Sliding Mode Fuzzy Control. Springer-Verlag, Berlin (1996).
[3] Fang-Ming Yu, Hung-Yuan Chung and Shi-Yuan Chen, "Fuzzy sliding mode controller design for uncertain time-delayed systems with nonlinear input" Fuzzy Sets and Systems, Volume 140, Issue 2, 1 December 2003, Pages 359-374.
[4] Chi-Ying Liang and Juhng-Perng Su, "A new approach to the design of a fuzzy sliding mode controller", Fuzzy Sets and Systems, Volume 139, Issue 1, 1 October 2003, Pages 111-124.
[5] Eksin, G├╝zelkaya and Tokat, "Self-tuning Mechanism for Sliding Surface Slope Adjustment in Fuzzy Sliding Mode Controllers" Proc. Instn. Mech. Engrs. Vol.216, March 2002, pp.393-406.
[6] Bonchis, P. I. Corke, D. C. Rye and Q. P. Ha, "Variable structure methods in hydraulic servo systems control"Automatica, Volume 37, Issue 4 , April 2001, Pages 589-595.
[7] Tzuu-Hseng S Li and Ming-Yuan Shieh, "Switching-type fuzzy sliding mode control of a cart-pole system" Mechatronics, Volume 10, Issues 1- 2 , February-March 2000, Pages 91-109.
[8] Su, Chen and Wang, "Adaptive fuzzy sliding mode control with GA based reaching laws", Fuzzy Sets and Systems, Vol.120, 2001, pp. 145- 158.
[9] Lee,Kim,Kang and Park, "A new sliding mode control with fuzzy boundary layer", Fuzzy Sets and Systems, Vol. 120, 2001, pp.135-143.
[10] Lin and Hsu, "Guidance Law Design by Adaptive Fuzzy Sliding Mode Controller", Journal of Guidance, Control and Dynamics, Vol. 25, No.2, April 2002, pp. 248-256.
[11] Briefley and Longchamp, "Application of Sliding Mode Control to Air- Air Interception Problem", IEEE Transactions on Aerospace and Electronic Systems" Vol. 26, No.2, March 1990, pp. 306-325.
[12] M.R. Becan, "Fuzzy Guidance in the Aerodynamic Homing Missiles" Proceedings of the International Conference on Computational Intelligence ICCI 2004, December 17-19 Istanbul, Turkey, pp.266-269.
[13] M. R. Becan, "Fuzzy Boundary Layer Solution to Nonlinear Hydraulic Position Control Problem" Third World Enformatika Conference WEC-05 ─░stanbul, April 2005, pp. 206-208.
[14] Slotine J.J. and Sastry S.S., "Tracking Control of Nonlinear Systems Using Sliding Surfaces with Application to Robot Manipulators", International Journal of Control, vol.38, no.2, 465-492, 1983.