AUTHORS: Weiqiang Tang, Zhiyuan Rui, Haiyan Gao, Hongmei Jiang

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ABSTRACT: A new controller is proposed for a type of typical nonlinear missile autopilots using model predictive control method in the presence of constraints. Nonlinear model is first transformed into a linear structure, i.e. the form of state-dependent coefficient, which is used as the internal model for prediction. Then the constrained solution is obtained by solving an online quadratic programming problem at each sampling time, hence practical performances can be guaranteed. The resulting control law ensures nominal acceleration tracking for the missile. The closed-loop system has a good robustness against disturbances. Compared to the proportional integral controller, the proposed controller is more suitable to implement in practice. Simulation results confirm the effectiveness of the proposed control strategy.

KEYWORDS: Nonlinear Systems, State-dependent Coefficient, Model Predictive Control, Missile Autopilot, Robustness

REFERENCES:

[1] H. Buschek, Full Envelope Missile Autopilot Design Using Gain Scheduled Robust Control, Journal of Guidance, Control, and Dynamics, Vol. 22, No. 1, 1999, pp. 115-122.

[2] F. W. Nesline, B. H. Wells and P. Zarchan, A Combined Optimal/Classical Approach to Robust Missile Autopilot Design, AIAA Guidance and Control Conference, AIAA, New York, 1979, pp. 265-280.

[3] V. Fr`omion, G. Scorletti and G. Ferreres, Nonlinear Performance of a PI Controlled, Missile: an Explanation, International Journal of Robust and Nonlinear Control, Vol. 9. No. 8, 1999, pp. 485-518.

[4] S. M. Yang, B. C. Mears and K. Poolla, Application of Control to Pitch Autopilot of Missiles, IEEE Transactions on Aerospace and Electronic Systems, Vol. 32, No.1, 1996, pp. 426-433.

[5] R. T. Reichert, Robust Autopilot Design UsingSynthesis, Proceedings of the American Control Conference (San Diego, CA), American Automatic Control Council, Evanston, IL, 1990, pp. 2368-2373.

[6] W.L. Garrard, Design of Nonlinear Automatic Flight Control Systems, Automatica, Vol. 13, No. 5, 1977, pp. 497-505.

[7] T. W. McLain and W. B. Randal, Nonlinear Optimal Control Design of a Missile Autopilot, AIAA Guidance, Navigation, and Control Conference and Exhibit, Boston, MA, 1998, pp. 1209-1216.

[8] K. A. Wise and J. L. Sedwick, Nonlinear Optimal Control for Agile Missiles, In: Proceedings of the AIAA Guidance, Navigation, and Control Conference (Baltimore, MD), AIAA, Washington, DC, 1995, pp. 1295-1307.

[9] J. S. Shamma, Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations, Journal of Guidance, Control and Dynamics, Vol. 16, No.2, 1993, pp. 256-263.

[10] L. H Carter and J. S. Shamma, Gain-Scheduled Bank-to-Turn Autopilot Design Using Linear Parameter Varying Transformations, Journal of Guidance, Control, and Dynamics, Vol. 19, No. 5, 1996, pp. 1056-1063.

[11] P. Apkarian, J. M. Biannic and P. Gahinet, Self-Scheduled H-infinity Control of Missile via Linear Matrix Inequalities, Journal of Guidance, Control, and Dynamics, Vol. 18, No. 3, 1995, pp. 532-538.

[12] M. V. Kothare, P. J. Campo, M. Morari, et al., A Unified Framework for the Study of AntiWindup Designs, Automatica, Vol. 30, No. 12, 1994, pp. 1869-1883.

[13] S. J. Qin and T. A. Badgwell, A Survey of Industrial Model Predictive Control Technology, Control Engineering Practice, Vol. 11, No. 7, 2003, pp. 733-764.

[14] J. S. Kim, T. W. Yoon, H. Shim , et al., Switching adaptive output feedback model predictive control for a class of inputconstrained linear plants, IET Control Theory Application, Vol. 2, No. 7, 2008, pp. 573-582.

[15] W. R. Van Soest, Q. P. Chu and J. A. Mulder, Combined Feedback Linearization and Constrained Model Predictive Control for Entry Flight, Journal of Guidance, Control, and Dynamics, Vol. 29, No. 2, 2006, pp. 427 - 434.

[16] N. Slegers, J. Kyle and M. Costello, Nonlinear Model Predictive Control Technique for Unmanned Air Vehicles, Journal of Guidance, Control, and Dynamics, Vol. 29, No. 5, 2006, pp. 1179-1188.

[17] P. Lu, Nonlinear Predictive Controllers for Continuous Systems, Journal of Guidance, Control, and Dynamics, Vol. 17, No. 3, 1994, pp. 554-560.

[18] K. Dalamagkidis, K. P. Valavanis, and L. A. Piegl, Nonlinear Model Predictive Control with Neural Network Optimization for Autonomous Autorotation of Small Unmanned Helicopters, IEEE Transaction on Control Systems Technology, Vol. 19, No. 4, 2011, pp. 818-831.

[19] A. D. Belegundu and J. S. Arora, A Recursive Quadratic-Programming Method with Active Set Strategy for Optimal-Design, International Journal for Numerical Methods in Engineering, Vol. 20, No. 5, 1984, pp. 803-816.

[20] I. M. Nejdawi, K. A. Clements and P. W. Davis, An Efficient Interior Point Method for Sequential Quadratic Programming Based Optimal Power Flow, IEEE Transactions on Power Systems, Vol. 15, No. 4, 2000, pp. 1179- 1183.