Heuristic Dynamic Programming Guidance for Circular Trajectories with Impact Angle Constraints

Authors

  • Hongxia Li Jiangsu University, 212013, Jiangsu, People’s Republic of China Author
  • Yuanli Cai Xi’an Jiaotong University, 710049, Shaanxi, People’s Republic of China Author

Keywords:

Circular trajectories, HDP, Three-point guidance mode, MMPSO

Abstract

This paper proposes a new optimal guidance law around circular trajectories to control impact angle constraints in three-point guidance mode. The guidance law employs a presented heuristic dynamic programming (HDP) algorithm to realize close loop and provide optimized weighting matrices. To obtain the accurate optimized matrices fast, a multi-search mode particle swarm optimization (MMPSO) method is used. Moreover, the stationary target can be attacked successfully under the presented guidance, and the less control effort and smoother trajectories are well guaranteed. Additionally, the effectiveness and applicability of our proposed guidance scheme are explicitly verified through simulation tests.

References

[1] Eberhart RC, Kennedy J. A New Optimizer Using Particle Swarm Theory. in Proc. 6th Int Symp Micromachine Human Sci Nagoya, Japan 1995; 39-43.

https://doi.org/10.1109/MHS.1995.494215

[2] Kennedy J, Eberhart RC. Particle Swarm Optimization. in Proc. IEEE Int Conf Neural Networks 1995; 4(8): 1942-1948.

https://doi.org/10.1109/ICNN.1995.488968

[3] Fan Y, Chi Q, Fang XH, et al. State-of-Charge Estimation of Lithium-Ion Batteries Using an Adaptive Particle Filter Based on an Improved Particle Swarm Optimization Algorithm. IEEE Trans Transp Electrification 2025; 11(4): 9428-9438.

https://doi.org/10.1109/TTE.2025.3548636

[4] Harkati L. Snowpack Permittivity Retrieval Using Particle Swarm Optimization Algorithm. IEEE Geosci Remote Sens. Lett 2025.

https://doi.org/10.1109/LGRS.2025.3587507

[5] Jin HW, Yue GW. Underwater Manipulator Trajectory Planning Based on Improved Particle Swarm Optimization Algorithm. J Field Rob 2025; 42(7): 3986-4008.

https://doi.org/10.1002/rob.22603

[6] Ling R, Zhang ZW, Xuan XF. Dual-Frequency Power Amplifiers' Design Based on Improved Multiobjective Particle Swarm Optimization Algorithm. IEEE Microwave Wireless Technol Lett 2025; 35(11): 1768-1771.

https://doi.org/10.1109/LMWT.2025.3592184

[7] Wang H, Cai T, Pedrycz W. Kriging Surrogate Model-Based Constraint Multiobjective Particle Swarm Optimization Algorithm. IEEE Trans Cybern 2025; 55(3): 1224-1237.

https://doi.org/10.1109/TCYB.2024.3524457

[8] He Q, Yan X, Alireza J, et al. Influence Maximization in Sentiment Propagation With Multisearch Particle Swarm Optimization Algorithm. IEEE Trans Comput Social Syst 2025; 12(3): 1365-1375.

https://doi.org/10.1109/TCSS.2025.3528890

[9] Zhu DL, Shen JY, He JL, et al. Group Merging Particle Swarm Optimization Algorithm for Rural Base Station Deployment. IEEE Trans Emerging Top Comput Intell 2025. early access.

https://doi.org/10.1109/TETCI.2025.3558433

[10] Zhang CZ, Wang Y, Li HB. Particle Swarm Optimization by Multi-Search Modes. Journal of Guilin University of Technology 2016; 36(2): 402-409.

[11] Hull DG, Speyer JL, Burris DB. A Linear-Quadratic Guidance Law for Dual Control of Homing Interceptors. AIAA Guidance, Navigation, and Control Conference AIAA, Monterey, California, DC, 1990; 13(1): 137-144.

https://doi.org/10.2514/3.20527

[12] Riggs TL, Vergez PL. Advanced Air-to-Air Interceptor Guidance Using Optimal Control and Estimation. AFATLTR-81-56, Air Force Armament Laboratory, 1981.

[13] Rusnak I. Optimal Guidance Laws with Uncertain Time-of-Flight. IEEE Transactions on Aerospace and Electronic Systems 2000; 36(2): 721-725.

https://doi.org/10.1109/7.845272

[14] Zhu YJ, Zhou C, Chen S, et al. A Parameterized Solution to Optimal Guidance Law Against Stationary Target With Impact Angle Constraint. IEEE Trans Aerosp Electron Syst 2025; 61(2): 3993-4003.

https://doi.org/10.1109/TAES.2024.3501996

[15] Cheng L, Wang H, Gong SP, et al. Neural-Network-Based Nonlinear Optimal Terminal Guidance With Impact Angle Constraints. IEEE Trans Aerosp Electron Syst 2024; 60(1): 819-830.

https://doi.org/10.1109/TAES.2023.3328576

[16] Gong M, Zhou ST, Zhou D. Optimal Sliding Mode Guidance Law Against Maneuvering Target With Impact Angle Constraint. Proc Inst Mech Eng Part G- J Aerosp Eng 2024; 238(5): 513-528.

https://doi.org/10.1177/09544100241233327

[17] Zhu JW, Su DL, Xie Y, et al. Impact Time and Angle Control Guidance Independent of Time-to-go Prediction. Aerosp Sci Technol 2019; 86: 818-825.

https://doi.org/10.1016/j.ast.2019.01.047

[18] Wu FC, Chen Z, Shao XM, et al. Nonlinear Optimal Guidance with Constraints on Impact Time and Impact Angle. Autom 2025; 181.

https://doi.org/10.1016/j.automatica.2025.112500

[19] Padhi R, Kothari M. Model Predictive Static Programming: A Computationally Efficient Technique for Suboptimal Control Design. Int J Innovative Comput Inf Control 2009; 5(2): 399-411.

[20] Harshal BO, Radhakant P. Impact-Angle-Constrained Suboptimal Model Predictive Static Programming Guidance of Air-to-Ground Interceptors. Journal of Guidance Control and Dynamics 2012; 35(1): 153-164.

https://doi.org/10.2514/1.53647

[21] Bhitre N, Achintya KS, Radhakant P. Three-dimensional Impact Angle Constrainted MPSP Guidance of Air-to-Air Interceptors. IEEE International Conference on Control Applications Part of IEEE Multi-Conference on System and Control Hyderabad, India, 2013; 883-888.

https://doi.org/10.1109/CCA.2013.6662862

[22] Arnab M, Harshal BO, Radhakant P. Generalized Model Predictive Static Programming and Its Application to 3D Impact Angle Constrained Guidance of Air-to-Surface Interceptors. American Control Conference ACC Washington USA, 2013; 17-19.

[23] Tsalik R, Shima T. Inscribed Angle Guidance. Journal of Guidance Control and Dynamics 2015; 38(1): 30-40.

https://doi.org/10.2514/1.G000468

[24] Kim B, Lee J, Han H. Biased PNG Law for Impact with Angular Constraint. IEEE Transactions on Aerospace and Electronic Systems 1998; 34(1): 277-288.

https://doi.org/10.1109/7.640285

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Published

2025-12-31

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