A Novel Higher-Order Sliding Mode Control Scheme for Uncertain Nonlinear Systems: Short-period Missile Control Application

Belkacem Kada


The paper proposes a novel higher-order sliding modes (HOSM) control scheme for a class of uncertain nonlinear systems. The HOSM-based control scheme is developed based on the Filippovs differential inclusion and local properties of affine nonlinear systems with control constraints. The resulting control provides exponential stability and ensures robustness against modeling errors and parameter uncertainties. The proposed HOSM-based control scheme is used to design a short-period pitch-axis flight control system of a short-range tactical missile where performance and robustness are demonstrated via computer simulations.


Flight control system design; Higher-order sliding modes; Missile dynamic and control; Nonlinear robust control

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F.W. Nesline, B.H. Wells, and P. Zarchan,. Combined Optimal Classical Approach to Robust Missile Autopilot Design. Journal of Guidance, Control, and Dynamics, vol. 4, no. 3, pp. 316322, 1981.

R.T. Reichert. Dynamic scheduling of modern-robust-control autopilot design for missiles. IEEE Control Systems. Magazine 12, no 5, pp. 3542, 1992.

R.A. Nichols, R.T. Reichert and W.J. Rugh. Gain scheduling for H? controllers: a flight control example. IEEE Transactions on control systems technology. vol. 1, no 2, pp. 69-79, 1993.

C.P. Mracek, and J.R. Cloutier. Missile longitudinal autopilot design using the state dependent Riccati equation method. Proceedings of the first international conference on nonlinear problems in aviation and aerospace. Daytona, Beatch, FL, pp. 387-396, 1996.

P.C. Pellanda, P. Apkarian, H.D. Tuan, and D. Alazard. Missile Autopilot Design via a Multi-Channel LFT/LPV Control Method. 15th Triennial World Congress of IFAC, vol. 15, part 1, pp. 1569-1569, 2002.

C.L. Lin, and C.L. Hwang. A Dynamic Fuzzy Gain-Scheduled Design for Missile Autopilot. The Aeronautical Journal. vol. 1 no 2, pp. 599-605, 2003.

M. Xin, and S.N. Balakrishnan. Nonlinear H? missile longitudinal autopilot design with ?D method. IEEE Transactions on aerospace and electronic systems. vol. 44 no1, pp. 41-56, 2008.

D. Zhou, and S. Chuntao. Dynamics and autopilot design for endoatmospheric interceptors with dual control systems. Aerospace Science and Technology, vol.13 issue 6, pp. 291-300, 2009.

B.J.E. Misgeld, M. Darcis, and T. Kuhn. Robust linear-parameter varying Autopilot design for a tail/thrust vector controlled missile. Advances in aerospace guidance, navigation and control, vol. 2, pp. 287-301, 2011.

W.Q Tang, and Y.L. Cai. Functional Control-Based Missile Autopilot Design. Journal Of Guidance, Control, And Dynamics, vol. 35, no. 5, pp. 1450-1455, 2012.

E. Devaut,, A. Hiret, and H. Siguerdidjane. Dynamic Inversion and LPV Approach: Application to a Missile Autopilot. In Proceedings of the IEEE Hong-Kong Symposium on Robotics and Control, vol. 1, pp. 293-298, 1999.

Y. Fu-Kuang, K.Y. Cheng, and Li.C. Fu. Variable structure-based nonlinear missile guidance/autopilot Design with highly maneuverable actuators. IEEE Transaction on control systems technology. vol. 12, no 6, pp. 944-949, 2004.

A. Shang,, W. Gu, Y. Yuan, and C. Li. Missile Autopilot Design Based on Second Order Sliding Modes Control. Proceedings of the 5th World Congress on Intelligent Control and Automation. vol. 2, pp. 1167-1170, 2004.

T. Shima, M. Idan, and O.M. Golan. Sliding-mode control for integrated missile autopilot guidance. Journal of guidance, control, and dynamics. Vol. 29 no 2, pp. 250-260., 2006.

D.F. Lin, and J.F. Fan. Missile autopilot design using backstepping approach. Second international conference on computer and electrical engineering, pp. 238-241, 2009.

M. Bahrami, B. Ebrahimi, and G.R. Ansarifar. Sliding mode observer and control design with adaptive parameter estimation for a supersonic flight vehicle. International Journal of Aerospace Engineering, article ID 474537, pp. 1-9, 2010.

J.F. Fan, and S. Zhong. Missile Longitudinal Autopilot Design Using Backstepping Approach. IEEE Aerospace conference proceeding, paper no. 1416, 2010.

D.C. Foreman, C.H. Tournes, and Y.B. Shtessel. Integrated missile flight control using quaternions and third-order sliding mode control. 11th International Workshop on Variable Structure Systems VSS10, pp. 370-375, 2010.

B. Kada, Outer-Loop Sliding Mode Control Approach to Longitudinal Autopilot Missile Design. 18th IFAC World Congress , pp. 11157-11164, 2011.

B. Kada. Higher Order Sliding Mode Control for Missile Autopilot Design. Conference on Aerospace, Mechanical, Automotive and Materials Engineering, vol. 70, 2012.

B. Kada. A New Methodology to Design Sliding-PID Controllers: Application to Missile Flight Control System. IFAC Conference on Advances in PID Control, 2012.

B. Kada. Arbitrary-Order Sliding-Mode-Based Homing-Missile Guidance for Intercepting Highly Maneuverable Target. Journal of Guidance, Control, and Dynamics, vol. 37, no. 6, pp. 1999-2013, 2014.

A. Levant. Universal SISO sliding-mode controllers with finite-time convergence. IEEE Transactions on automatic control, vol. 46 no 9, pp. 1447-1451, 2001.

A. Levant. Homogeneity approach to high-order sliding mode design. Automatica. vol. 41 no 5, pp. 823-830, 2005.

A. Isidori.. Nonlinear control systems. New York: Second edition, Springer-Verlag, 1989.


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