PERFORMANCE OPTIMIZATION OF TRAJECTORY DEVIATION CORRECTION IN LONG-RANGE BALLISTIC MISSILES: AN ADAPTIVE PID CONTROL APPROACH
Volume 4, Issue 2, Pp 1-6, 2026
DOI: https://doi.org/10.61784/wjer3082
Author(s)
RuoHao Zhang
Affiliation(s)
Rocket Force University of Engineering, Xi’an 710000, Shaanxi, China.
Corresponding Author
RuoHao Zhang
ABSTRACT
Addressing the trajectory deviation problem of long-range ballistic missiles (5000-8000 km range) caused by multiple factors such as aerodynamic disturbance, thrust fluctuation, and gravity field variation during flight, this paper proposes an adaptive PID trajectory correction control method based on a self-tuning parameter strategy. The paper adopts a composite guidance scheme combining inertial and satellite guidance, establishes a three-degree-of-freedom missile flight dynamics model, and designs an improved PID controller incorporating fuzzy parameter tuning, and differential filtering. In simulation experiments on a parabolic-gliding composite trajectory with long-range ballistic missile characteristics, the adaptive PID controller outperforms the traditional PID controller under different flight phases and disturbance conditions, reducing steady-state error by 42.3% and shortening adjustment time by 31.7%. The proposed adaptive PID controller achieves high-precision trajectory tracking during long-range flight, providing theoretical support and simulation validation for control systems in long-range ballistic missile applications.
KEYWORDS
Long-range ballistic missiles; Trajectory deviation correction; Adaptive PID; Composite guidance; Three-degree-of-freedom model; Simulation verification
CITE THIS PAPER
RuoHao Zhang. Performance optimization of trajectory deviation correction in long-range ballistic missiles: an adaptive PID control approach. World Journal of Engineering Research. 2026, 4(2): 1-6. DOI: https://doi.org/10.61784/wjer3082.
REFERENCES
[1] Xiong J, Liu M, Long Y, et al. ACCD-based pseudospectral model predictive convex programming for constrained missile trajectory optimization. Journal of Physics: Conference Series, 2025, 3109(1): 012078.
[2] Rigatos G, Dala L, Siano P, et al. Nonlinear optimal control for guidance and 3D trajectory tracking of missiles. Guidance, Navigation and Control, 2025, 5(3): 2550027X.
[3] Zang H, Gao C, Hu Y, et al. Trajectory prediction algorithm of ballistic missile driven by data and knowledge. Defence Technology, 2025, 48: 187-203.
[4] Sun J, You S, Hua D, et al. Simulation and optimization of multi-phase terminal trajectory for three-dimensional anti-ship missiles based on hybrid MOPSO. Algorithms, 2025, 18(5): 278.
[5] Fang Z, Zhao J. Trajectory optimization method for air-to-air missiles with trim tab deflection constraints. Journal of Physics: Conference Series, 2025, 2977(1): 012097.
[6] Yahiaoui T, Hamaidia W, Zebbiche T. Supersonic MLN thrust correction at HT with application to the missile trajectory. International Journal of Aeronautical and Space Sciences, 2024, 26(3): 1-16.
[7] Fan Boxuan, Chen Guiming, Han Lei, et al. Reinforcement learning of ballistic maneuver adjustment strategy after missile penetration. Journal of National University of Defense Technology, 2024, 46(2): 94-103.
[8] Yang Dongxiao, Cao Xinyi, Shen Qiang. Rolling angle control method of trajectory correction fuze based on PID switching control. Transactions of Beijing Institute of Technology, 2025, 45(2): 137-143.
[9] Lu Qiuqiu, Yi Wenjun. Gliding trajectory optimization and guidance simulation based on hp-RPM. Journal of Ordnance Equipment Engineering, 2021, 42(9): 34-39.
[10] Lei Longjie, Li Kui, Liu Zongyuan. Application of sliding mode control in rolling angle control of trajectory correction fuze. Transactions of Beijing Institute of Technology, 2022, 42(7): 701-707.
[11] Yin Yanwen, Yang Yong. Research on speed control of thermal power generator based on particle swarm optimization PID tuning. Electronic Design Engineering, 2025, 33(15): 181-186.

Download as PDF