A Model of Predictive Terminal Guidance Based on Whale Optimization Algorithm Considering the Aerodynamic Model of the Pursuer

Document Type : Dynamics, Vibrations, and Control

Authors

1 Department of Electrical and Computer Engineering, Malek-Ashtar University of Technolog

2 Department of Electrical and Computer Engineering, Malek Ashtar University of Technology

Abstract

In this paper, a new predictive guidance algorithm based on the whale optimization is proposed. Here, nonlinear kinematics of the engagement between a pursuer and a target is used. The proposed heuristic guidance algorithm uses the whale optimization dynamic algorithm for calculating the guidance command. The proposed objective function minimizes simultaneously the line-of-sight rate error, the guidance command, and its fluctuations. The dynamic model of the pursuer autopilot is considered as a first-order lag. The performance of the proposed guidance algorithm for maneuvering and non-maneuvering targets is evaluated using numerical simulations. In addition, it is evaluated for the cases when the pursuer has a high initial heading error.

Keywords


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1. Zarchan, P, “Tactical and Strategic Missile Guidance”, Virginia: AIAA, 2012.##
2. Guelman, M. “A Qualitative Study of Proportional Navigation”. IEEE Trans. Aerosp. Electron. Syst, vol. 7, no. 4, p. 637-643, 1971.##
3. Guelman, M, “The Closed-Form Solution of True Proportional Navigation”. ”. IEEE Trans. Aerosp. Electron. Syst, vol. 12, no. 4, p.472-482, 1976.##
4. Yuan, Pin-J, and Shih-Che H. “Solutions of Generalized Proportional Navigation with Maneuvering and Nonmaneuvering Targets”. IEEE Trans. Aerosp. Electron. Syst, vol. 31, no. 1, p. 469-474, 1995.##
5. Talole, S. E., A. Ghosh, and S. B. Phadke. “Proportional Navigation Guidance Using Predictive and Time Delay Control”. Control Eng. Pract, vol. 14, no. 12, p.1445-1453, 2006.##
6. Oza, H. B., & Padhi, R. “Impact-Angle-Constrained Suboptimal Model Predictive Static Programming Guidance of Air-to-Ground Missiles”, J Guid Control Dyn, vol. 35, no. 1, p.153-164, 2012.##
7. He, S., & Lin, D. “Guidance Laws Based on Model Predictive Control and Target Maneuver Estimator”. Trans. Inst. Meas. Control, vol. 38, no. 12 , p.1509-1519,2016.##
8. Li, Z., Xia, Y., Su, C. Y., Deng, J., Fu, J., & He, W. “Missile Guidance Law Based on Robust Model Predictive Control Using Neural-Network Optimization”.  IEEE Trans Neural Netw Learn Syst, vol. 26, no. 8 ,  p. 1803-1809,2014.##
9. Kung, C. C., & Chen, K. Y. “Missile Guidance Algorithm Design Using Particle Swarm Optimization”. Trans. Can. Soc. Mech. Eng, vol. 37, no. 3, P.971-979, 2013.##
10. Chen, K. Y., Lee, Y. L., Liao, S. J., & Kung, C. C. “The Design of Particle Swarm Optimization Guidance Using a Line-of-Sight Evaluation Method”. COMPUT ELECTR ENG, vol. 54, no. 1, p.159-169, 2016.##
11. Lee, Y. L., Chen, K. Y., & Liao, S. J. “Using Proportional Navigation and a Particle Swarm Optimization Algorithm to Design a Dual Mode Guidance”,COMPUT ELECTR ENG, vol. 54, no. 2, p.137-146, 2016.##
12. Nobahari H, Nasrollahi S. Model Predictive Guidance Based on Whale Optimization Algorithm. 27th Annu. Conf. Mech. Eng, 1398, (in Persian).##
13. Nobahari, H., & Nasrollahi, S. “A Terminal Guidance Algorithm Based on Ant Colony Optimization”,COMPUT ELECTR ENG, vol. 77, no. 1, p.128-146, 2019.##
14. Golestani, M., Mohammadzaman, I., & Vali, A. R. “Finite-Time Convergent Guidance Law Based on Integral Backstepping Control”. AEROSP SCI TECHNOL, vol. 39, no. 1, p. 370-376, 2014.##
15. Sun, S., Zhou, D., & Hou, W. T. “A Guidance Law with Finite Time Convergence Accounting for Autopilot Lag”. AEROSP SCI TECHNOL, vol. 25, no. 1, p. 132-137, 2013.##
16. Bardhan, R., & Ghose, D. “An SDRE Based Differential Game Approach for Maneuvering Target Interception”. AIAA guidance, navigation, and control conference, 2015.##
17. Mirjalili, S., & Lewis, A. “The Whale Optimization Algorithm”, Adv. Eng. Softw, vol. 95, no. 1, p. 51-67, 2016.##
18. Bardhan, R., & Ghose, D. “Nonlinear Differential Games-Based Impact-Angle-Constrained Guidance Law”, J Guid Control Dyn, vol. 38, no. 3, p.384-402, 2015.##
19. Kee, P., Dong, L., & Siong, C. “Near Optimal Midcourse Guidance Law for Fight Vehicle”. In 36th AIAA Aerospace Sciences Meeting and Exhibit, p. 583, 1998.##
20. Kumar, S. R., Rao, S., & Ghose, D. “Nonsingular Terminal Sliding Mode Guidance With Impact Angle Constraints”, J. Guid. Control Dyn, vol. 37, no. 4, p.1114-1130, 2014.##
21. Babu KR, Sarma IG, Swamy KN, “Switched Bias Proportional Navigation for Homing Guidance Against Highly Maneuvering Targets”, J Guid Control Dyn, vol. 17, no. 1, p.1357-1363, 1994.##