Smooth second-order sliding modes: missile guidance application. (English) Zbl 1130.93392

Summary: A new smooth second-order sliding mode control is proposed and proved using homogeneity-based technique for a system driven by sufficiently smooth uncertain disturbances. The main target application of this technique – the missile-interceptor guidance system against targets performing evasive maneuvers is considered. The smooth second-order sliding mode control-based guidance law is designed and compared with augmented proportional navigation guidance law via computer simulations of a guided missile intercepting a maneuvering ballistic target.


93C85 Automated systems (robots, etc.) in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
93B12 Variable structure systems
Full Text: DOI


[1] Bacciotti, A., & Rosier, L. (2001). Liapunov functions and stability in control theory, Lecture notes in control and information sciences (Vol. 267). New York: Springer. · Zbl 0968.93004
[2] Bhatt, S.; Bernstein, D., Finite time stability of continuous autonomous systems, SIAM journal on control and optimization, 38, 3, 751-766, (2000) · Zbl 0945.34039
[3] Davila, J.; Fridman, L.; Levant, A., Second-order sliding-mode observer for mechanical systems, IEEE transactions of automatic control, 50, 11, 1785-1789, (2005) · Zbl 1365.93071
[4] Edwards, C.; Spurgeon, S., Sliding mode control, (1998), Taylor & Francis Bristol, PA
[5] Filippov, A.F., Differential equations with discontinuous right-hand side, (1988), Kluwer Academic Publishers Dordrecht, Netherlands · Zbl 0664.34001
[6] Floquet, T.; Barbot, J.-P.; Perruquetti, W., Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems, Automatica, 39, 1077-1083, (2003) · Zbl 1038.93063
[7] Garnell, P.; East, D.J., Guided weapon control systems, (1977), Pergamon Press Oxford
[8] Levant, A., Robust exact differentiation via sliding mode technique, Automatica, 34, 3, 379-384, (1998) · Zbl 0915.93013
[9] Levant, A., Higher-order sliding modes, differentiation and output-feedback control, International journal of control, 76, 9/10, 924-941, (2003) · Zbl 1049.93014
[10] Levant, A., Quasi-continuous high-order sliding-mode controllers, IEEE transactions on automatic control, 50, 11, 1812-1816, (2005) · Zbl 1365.93072
[11] Levant, A., Homogeneity approach to high-order sliding mode design, Automatica, 41, 5, 823-830, (2005) · Zbl 1093.93003
[12] Moon, J.; Kim, K.; Kim, Y., Design of missile guidance law via variable structure control, Journal on guidance, control, and dynamics, 24, 4, 659-664, (2001)
[13] Orlov, Y., Finite time stability and robust control synthesis of uncertain switched systems, SIAM journal on control and optimization, 43, 4, 1253-1271, (2005) · Zbl 1085.93021
[14] Shkolnikov, I., Shtessel, Y., Lianos, D., & Thies, A. (2000). Robust missile autopilot design via high-order sliding mode control. In Proceedings of AIAA guidance, navigation, and control conference, AIAA Paper 2000-3968.
[15] Utkin, V.; Guldner, J.; Shi, J., Sliding modes in electromechanical systems, (1999), Taylor & Francis London
[16] Zarchan, P. (1998). Tactical and strategic missile guidance. Progress in astronautics and aeronautics (Vol. 176). New York: AIAA.
[17] Zhou, D.; Mu, C.; Xu, W., Adaptive sliding-mode guidance of a homing missile, Journal of guidance, control, and dynamics, 22, 4, 589-594, (1999)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.