Catenary-based Impact Time and Angle Control Guidance

To enhance the lethality and penetration performance, constraints on impact time and angle are generally incorporated into guidance laws where geometric guidance laws are a current focus. However, existing geometric guidance laws suffer from the limited range of achievable impact time and disability of shaping the acceleration profile. This paper proposes a guidance law that combines catenary functions and circular arcs. The guidance law addresses the adaptability issue for large time constraint windows and can implement arbitrary angle constraints. This paper employs proportional feedback control to implement the guidance law and validates its load characteristics and trajectory properties through simulations under various time constraints, angle constraints, and load capabilities. The results demonstrate that the guidance law can effectively meet the designed time-angle constraints, achieve trajectory shaping, and soften the overall load curve, thereby proving the effectiveness of the proposed guidance law.