Model-Predictive Guidance of a ballistic Missile in midcourse using Laguerre functions

Mahdi Abadi, Mehran; Ghahremani, Nematollah

Document Type : Original Article

Authors

¹ Research Group Director

² Associate Professor at the MUT University

Abstract

In this paper, a predictive guidance algorithm for the mid-course phase of a solid-propellant ballistic missile is presented using discrete laguerre functions. Utilizing predictive guidance significantly reduces the missile impact error compared to conventional methods. However, the computational load for implementation on a flight computer could be a fundamental challenge. For this reason, this research has established and developed a new predictive guidance algorithm based on orthogonal discrete laguerre functions to reduce the computational load while maintaining high accuracy in impact. This approach reduces the parameters describing the predictive guidance law, and the execution time of the algorithm's computations decreases significantly. Through 3D simulation, the impact of using this method for mid-course guidance of a ballistic missile is shown compared to predictive guidance. Additionally, comparing the computational loads of different predictive guidance algorithms demonstrates the advantage of this method in reducing the computational demands.

Keywords

20.1001.1.28211553.1404.4.1.4.2

Main Subjects

Defense mechanics/navigation/control/...

References

[1] M. J. Turner, Rocket and spacecraft propulsion: principles, practice and new developments. Springer Science & Business Media, 2008.

[2] S. Mandić, "Guidance of ground to ground rockets using flight path steering method," Scientific Technical Review, vol. 59, no. 3-4, pp. 3-11, 2009.

[3] S. Mandić, "Dispersion reduction of artillery rockets guided by flight path steering method," The Aeronautical Journal, vol. 120, no. 1225, pp. 435-456, 2016.

[4] روشنیان, "روش جدیدی برای طراحی هدایت غیرحساس به خاموشی موتور."

[5] M. Massoumnia, "A New Guidance Method for Surface to Surface Ballistic Missiles without Mandatory Engine Cut-Off," Journal of Advanced Materials in Engineering (Esteghlal), vol. 17, no. 2, pp. 179-184, 1998.

[6] R. Zardashti and M. Bagherian, "Flight Path Angle Steering with Lambert Guidance Reference," علوم و فناوری فضایی, vol. 2, no. 4, 2010.

[7] Ć. V. Danilo, A. H. Mostafa, and M. D. Slobodan, "A new guidance law for a tactical surface-to-surface missile," Vojnotehnički glasnik, vol. 60, no. 1, pp. 115-135, 2012.

[8] G. Gregoriou, "CEP calculations for a rocket with different control systems," Journal of Guidance, Control, and Dynamics, vol. 11, no. 3, pp. 193-198, 1988.

[9] P. Kumar, A. Bhattacharya, and R. Padhi, "MPSP guidance of tactical surface-to-surface missiles with way-point as well as terminal impact and body angle constraints," in 2013 IEEE International Conference on Control Applications (CCA), 2013: IEEE, pp. 865-870.

[10] H. Sadati, "Guidance and control of flying vehicle by explicit model predictive controller," Journal of Applied Dynamic Systems and Control, vol. 1, no. 1, p. 25, 2025.

[11] H. Luo, Z. Liu, T. Jin, C.-H. Lee, and S. He, "Computational Predictor–Corrector Homing Guidance for Constrained Impact," Journal of Guidance, Control, and Dynamics, pp. 1-15, 2025.

[12] Y. Tan, G. Li, J. Lou, R. Mao, Y. Zhang, and P. Wang, "Multi-dimensional robust tracking control integrating input-constrained extended model predictive static programming with receding horizon control strategy," 2024.

[13] Z. Hu, X. Liang, J. Zhang, X. You, and C. Ma, "Advanced Hierarchical Missile Guidance Strategies Based on Temporal Forecasting and Deep Reinforcement Learning," in 2024 China Automation Congress (CAC), 2024: IEEE, pp. 6777-6783.

[14] Y. Zhan, S. Li, and D. Zhou, "Information fusion-based three-dimensional two-stage optimal cooperative predictive guidance law," Aerospace Science and Technology, vol. 155, p. 109533, 2024.

[15] A. Tewari, Atmospheric and space flight dynamics. Springer, 2007.

[16] G. M. Siouris, Missile guidance and control systems. Springer Science & Business Media, 2006.

[17] M. Handbook, "Missile Flight Simulation. Part One. Surface-to-Air Missiles," MILHDBK-1211, 1995.

[18] J. Roskam, Airplane flight dynamics and automatic flight controls. DARcorporation, 1998.

[19] C. Bordons and E. Camacho, Model predictive control. Springer Verlag London Limited, 2007.

[20] B. Kouvaritakis and M. Cannon, "Model predictive control," Switzerland: Springer International Publishing, vol. 38, pp. 13-56, 2016.

Aerospace Defense

Model-Predictive Guidance of a ballistic Missile in midcourse using Laguerre functions

References

References

Volume 4, Issue 1
April 2025
Pages 82-101

Model-Predictive Guidance of a ballistic Missile in midcourse using Laguerre functions

References

References

Volume 4, Issue 1April 2025Pages 82-101

Volume 4, Issue 1
April 2025
Pages 82-101