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Nasrollahi, S., Yahyazadeh, A., Mohammadzaman, I. (2025). Robust Nonlinear Guidance Law with Impact Angle Constraint Based on Differential Game. Electronic and Cyber Defense, 20(4), 43-69.
Saeed Nasrollahi; Amir Hossein Yahyazadeh; Iman Mohammadzaman. "Robust Nonlinear Guidance Law with Impact Angle Constraint Based on Differential Game". Electronic and Cyber Defense, 20, 4, 2025, 43-69.
Nasrollahi, S., Yahyazadeh, A., Mohammadzaman, I. (2025). 'Robust Nonlinear Guidance Law with Impact Angle Constraint Based on Differential Game', Electronic and Cyber Defense, 20(4), pp. 43-69.
Nasrollahi, S., Yahyazadeh, A., Mohammadzaman, I. Robust Nonlinear Guidance Law with Impact Angle Constraint Based on Differential Game. Electronic and Cyber Defense, 2025; 20(4): 43-69.

Robust Nonlinear Guidance Law with Impact Angle Constraint Based on Differential Game

مکانیک هوافضا
Article 4, Volume 20, Issue 4 - Serial Number 78, March 2025, Pages 43-69    PDF (1.76 M)
Document Type: Dynamics, Vibrations, and Control
Authors
Saeed Nasrollahi* 1; Amir Hossein Yahyazadeh2; Iman Mohammadzaman3
1Corresponding author: Assistant Professor, Faculty of Electrical and Computer Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran
2M.Sc., Faculty of Electrical and Computer Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran
3Assistant Professor, Faculty of Electrical and Computer Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran
Receive Date: 21 August 2024,  Revise Date: 29 September 2024,  Accept Date: 17 October 2024 
Abstract
With the advancement of technology, targets in various classes and with various features have entered the arena. Interceptors also have limitations such as dimensions, fuel quantity and maneuverability. Therefore, in order to approach the goal more effectively and achieve better performance, it is necessary to provide new guidance methods. The main approach of this research; The design of the robust guidance law with limited angle of attack is based on differential game theory and nonlinear optimal control. In this approach, the acceleration of the interceptor and the acceleration of the target are calculated as two separate inputs; The interceptor seeks to minimize the cost function and at the same time it is assumed that the target seeks to maximize the same cost function. For this purpose, considering nonlinear equations with uncertainty, a robust guidance law based on state-dependent Riccati equations is presented. Here, the approach is to transform the robust control problem into optimal control, and the problem is solved using the state-dependent Riccati equation optimal method. The presented law for two interceptor scenarios with constant speed and variable speed, taking into account the aerodynamics of the interceptor, simulation and its results for scenarios with large initial flight path angles of the interceptor and targets with step, sinusoidal and random maneuvers are presented. Also, at the end, by comparing the method proposed in this article with the augmented proportional navigation method, it is shown that the interceptor hits the maneuvering target in less time and less distance and shorter navigation path and has better performance.

Highlights
  • Proposed robust nonlinear game guidance
  • Considering pursuer, s aerodynamic
  • Simulation for target with step, sinusoidal and random maneuver
  • Considering impact angle constraint
Keywords
Final Terminal Guidance; Nonlinear robust control; State-dependent Riccati equations; Uncertainty; Differential Game
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