A novel capture region of retro proportional navigation guidance law for intercepting high-speed nonmaneuvering targets

Abstract

In this paper, the capturability of retro proportional navigation against high-speed nonmaneuvering targets is analyzed. By using a modified polar coordinate, the equations describing the relative dynamics of the guidance problem become simple. The novel capture region of retro proportional navigation, which is the necessary and sufficient conditions for the interception, is derived by utilizing an auxiliary function. A new constraint condition is added to the derivation of the capture region, which can guarantee capture high-speed targets successfully. Meanwhile, the optimal aiming and the optimal position of interceptor are derived which are used to acquire the excellent initial conditions to capture the high-speed targets. The results show that the capture region of retro proportional navigation is larger compared with pure proportional navigation. Additionally, initial constraint conditions of interceptor in the case of planar engagement are described based on the capture region of retro proportional navigation, which can provide a reference for midcourse trajectory planning. Finally, simulation is performed to verify the feasibility of the initial conditions of the interceptor.

Adaptive back-stepping sliding mode guidance laws with autopilot dynamics and acceleration saturation consideration

“…With the increase in the performance of various high maneuvering targets, it is very necessary to study the guidance strategy with intercepting maneuver targets under high precision. 1 In order to achieve better killing effect and then destroy the target, a specific impact angle must be considered during the guidance law design process. 2 Therefore, it is necessary to further develop the guidance law with terminal impact angle constraints to meet the requirement of this guidance mission.…”

“…Many researchers have developed various modern robust guidance laws based on different nonlinear control methods. 3–12 In Gao et al., 3 an adaptive guidance law was proposed for attacking a ground target in the presence of impact angle using adaptive control technique and feedback guidance strategy. In Yang et al., 4 a new integrated guidance and control law was proposed for a homing missile subject to impact angle, which can be applied for an efficient salvo attack of ground target.…”

“…In Park et al., 5 Tsalik and Shima, 6 and Lee and Seo, 7 based on the optimal control theory, the optimal guidance laws were proposed. In Wang et al., 12 a retro proportional navigation was proposed for high-speed nonmaneuvering targets based on the auxiliary function and pure proportional navigation. Because of the sliding mode control theory being provided with good robustness to external disturbances and parameter uncertainties, it has been widely used in missile guidance law design.…”

Guidance control to capture a target using communication between the autonomous aerial vehicle and remote sensors

“…These papers assumed that the pursuer's speed is faster than the target's speed to assure target capture. The authors of [18–20] present the guidance control law to capture a high‐speed non‐maneuvering target. However, high‐speed maneuvering targets were not handled in [18–20].…”

“…There are many papers on guidance control for missiles or aerial vehicles [10–12, 14, 18, 20–23]. As guidance laws for missiles, proportional navigation guidance (PNG) controls have been widely used to let the AAV (missile) hit the target [10–12, 14, 18].…”