Robust Nonlinear Control of Missile Longitudinal Dynamics in Presence of Unmatched Uncertainty
Authors
Abstract
In this paper, a robust control law is proposed, based on Lyapunov’s theory and sliding mode control theory, in
order to track the angle of attack in nonlinear longitudinal dynamics of a missile. It is assumed that there are unmatched
uncertainties in the nonlinear systems. In the proposed algorithm, the controller gains are optimized by Particle Swarm
Optimization (PSO) algorithm. For this purpose, a cost function is extracted from the output tracking error. Simulation results
show that the proposed algorithm has better performance than conventional Proportional-Integral-Derivative (PID) controller in
the presence of unmatched uncertainties.
order to track the angle of attack in nonlinear longitudinal dynamics of a missile. It is assumed that there are unmatched
uncertainties in the nonlinear systems. In the proposed algorithm, the controller gains are optimized by Particle Swarm
Optimization (PSO) algorithm. For this purpose, a cost function is extracted from the output tracking error. Simulation results
show that the proposed algorithm has better performance than conventional Proportional-Integral-Derivative (PID) controller in
the presence of unmatched uncertainties.
Keywords
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pp. 1-8, 2010.
4. Reichart, R. T., “Robust Autopilot Design using μ-Synthesis”, Proceedings of American Control Conference., San Diego, CA, pp. 2368-2373, 1990.
5. Das, A., Das, R., Mukhopadhyay, S., and Patra, A., “Nonlinear Autopilot and Observer Design for a Surface-to-surface, Skid-to-turn Missile”, Annual IEEE India Conference, Indicon , pp. 304-308, 2005.
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7. Xin, M., Balakrishnan, S. N., and Stansbery, D. T., “Nonlinear Missile Autopilot Design with Theta-D Technique”, Journal of Guidance, Control, and Dynamics , Vol. 27, No. 3, pp. 406-417, 2004.
8. Xin, M., Balakrishnan, S. N., and Ohlmeyer E. J., “Integrated Guidance and Control of Missiles Withθ-D Method”, IEEE Transactions on
Control Systems Technology, Vol. 14, No. 6,
pp. 981-992, 2006.
9. Zhou, D., Mu, C., and Xu, W., “Adaptive Sliding-Mode Guidance of a Homing Missile”, Journal of Guidance, Control, and Dynamics, Vol. 22, No. 4, pp. 589-594, 1999.
10. Salamci, M. U., Oslash, M. K., Ren, Zg. O and Banks, S. P., “Sliding Mode Control with Optimal Sliding Surfaces for Missile Autopilot Design”, Journal of Guidance, Control, and Dynamics, Vol. 23, No. 4, pp. 719-727, 2000.
11. Shkolnikov, I. A., Shtessel, Y. B., Lianos, D., and Thies, A. T., “Robust Missile Autopilot Design
Via High-Order Sliding Mode Control”, Proceedings of AIAA Guidance, Navigation, and Control Conference, 2000.
12. Shima, T., Idan, M., and Golan, O. M., “Sliding-Mode Control for Integrated Missile Autopilot Guidance”, Journal of Guidance, Control, and Dynamics , Vol. 29, No. 2, pp. 250-260, 2006.
13. Seshagiri S., and Promtun E., “Sliding Mode Control of F-16 Longitudinal Dynamics”, Proceedings of American Control Conference, pp. 1770-1775, 2008.
14. Slotine, J. J., and Li, W. “Applied Nonlinear Control”, Englewood Cliffs, NJ: prentice-Hall, 1991.
15. Kim, K. J., Park, J. B., and Choi, Y. H., “Chattering Free Sliding Mode Control”, Proceedings of SICE-ICASE, International Joint Conference, pp. 732-735, 2006.
16. Weise, T., “Global Optimization Algorithms-Theory and Application”, Self-Published, 2009.
2. Sadraey, M., and Colgren, R., “Robust Nonlinear Controller Design for a Complete UAV Mission”, VDM Publishing, 2009.
3. Jun-fang, F., and Zhong, S., “Missile Longitudinal Autopilot Design using Backstepping Approach”, Aerospace Conference, IEEE, Big Sky, MT,
pp. 1-8, 2010.
4. Reichart, R. T., “Robust Autopilot Design using μ-Synthesis”, Proceedings of American Control Conference., San Diego, CA, pp. 2368-2373, 1990.
5. Das, A., Das, R., Mukhopadhyay, S., and Patra, A., “Nonlinear Autopilot and Observer Design for a Surface-to-surface, Skid-to-turn Missile”, Annual IEEE India Conference, Indicon , pp. 304-308, 2005.
6. Menon, P. K., and Yousefpor, M., “Design of Nonlinear Autopilots for High Angle of Attack Missiles”, AIAA Guidance, Navigation, and Control Conference, pp. 29-31, 1996.
7. Xin, M., Balakrishnan, S. N., and Stansbery, D. T., “Nonlinear Missile Autopilot Design with Theta-D Technique”, Journal of Guidance, Control, and Dynamics , Vol. 27, No. 3, pp. 406-417, 2004.
8. Xin, M., Balakrishnan, S. N., and Ohlmeyer E. J., “Integrated Guidance and Control of Missiles Withθ-D Method”, IEEE Transactions on
Control Systems Technology, Vol. 14, No. 6,
pp. 981-992, 2006.
9. Zhou, D., Mu, C., and Xu, W., “Adaptive Sliding-Mode Guidance of a Homing Missile”, Journal of Guidance, Control, and Dynamics, Vol. 22, No. 4, pp. 589-594, 1999.
10. Salamci, M. U., Oslash, M. K., Ren, Zg. O and Banks, S. P., “Sliding Mode Control with Optimal Sliding Surfaces for Missile Autopilot Design”, Journal of Guidance, Control, and Dynamics, Vol. 23, No. 4, pp. 719-727, 2000.
11. Shkolnikov, I. A., Shtessel, Y. B., Lianos, D., and Thies, A. T., “Robust Missile Autopilot Design
Via High-Order Sliding Mode Control”, Proceedings of AIAA Guidance, Navigation, and Control Conference, 2000.
12. Shima, T., Idan, M., and Golan, O. M., “Sliding-Mode Control for Integrated Missile Autopilot Guidance”, Journal of Guidance, Control, and Dynamics , Vol. 29, No. 2, pp. 250-260, 2006.
13. Seshagiri S., and Promtun E., “Sliding Mode Control of F-16 Longitudinal Dynamics”, Proceedings of American Control Conference, pp. 1770-1775, 2008.
14. Slotine, J. J., and Li, W. “Applied Nonlinear Control”, Englewood Cliffs, NJ: prentice-Hall, 1991.
15. Kim, K. J., Park, J. B., and Choi, Y. H., “Chattering Free Sliding Mode Control”, Proceedings of SICE-ICASE, International Joint Conference, pp. 732-735, 2006.
16. Weise, T., “Global Optimization Algorithms-Theory and Application”, Self-Published, 2009.
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