The capture region of TPN guidance law for orbital pursuit-evasion with limited maneuverability

Author(s):  
Dateng Yu ◽  
Hua Wang ◽  
Kebo Li ◽  
Shuai Guo
1993 ◽  
Vol 29 (3) ◽  
pp. 995-1003 ◽  
Author(s):  
A. Dhar ◽  
D. Ghose
Keyword(s):  

Author(s):  
Dateng YU ◽  
Hua WANG ◽  
Jianping ZHOU ◽  
Kebo LI
Keyword(s):  

1989 ◽  
Vol 111 (4) ◽  
pp. 661-666
Author(s):  
Y. Yavin ◽  
R. deVilliers

This work deals with two stochastic planar pursuit-evasion differential games where the pursuer is subject to constraints on its control magnitude and its control energy, whereas the evader is subject only to a magnitude constraint on its control. In the first game the motion of the players is confined to the horizonal plane, while in the second their motion is confined to the vertical plane. In both games, owing to thrust, drag, and gravitational forces, the pursuer has a variable speed. The treatment is concerned mainly with the question of how far a certain type of proportional navigation guidance law is a good approximation to an optimal feedback pursuit strategy.


2019 ◽  
Vol 41 (15) ◽  
pp. 4285-4300
Author(s):  
Feng Fang ◽  
Yuanli Cai ◽  
Faryar Jabbari

This work investigates the active defense problem wherein a target aircraft launches a defending missile (i.e. a defender) to intercept an attacking missile in three-dimensional (3D) space. The novelty of this work includes: adding a safe distance for the target, which protects the target from being influenced by defensive interception, and designing a new 3D defensive guidance strategy without linearization to meet different guidance requirements. The defensive guidance strategy combines the approach of analyzing 3D pursuit-evasion engagement and the optimal control to obtain the guidance law. The approach derives the analytical solutions of 3D pursuit-evasion engagement, and a fast algorithm to predict the trajectory of attacking missile is proposed based on these analytical solutions. The advantages of this guidance strategy include incorporation of the added safe distance requirement directly without hindering the ability of the optimal guidance law to meet other requirements, and straight-forward extension for advanced scenarios where multi-defenders intercept the attacking missile simultaneously from different directions. The performance of the 3D defensive guidance law is evaluated via simulations.


Author(s):  
Qilong Sun ◽  
Naiming Qi ◽  
Mingying Huo

The conflict among three players, an attacker, a defender, and a target, in the pursuit-evasion strategy context is investigated. The problem is derived for a defender launching from the target with the assumption that the guidance laws of the attacker and defender are linear in form. During the endgame, the target lures the attacker close to the defender based on the attacker’s reaction to the target. Two kinds of optimal guidance laws for protecting the target from the attacker are presented first. Showing that the two kinds of guidance laws are flawed, a new optimal guidance law is subsequently derived. Considering that the players’ control efforts are bounded by reality, the relevant parameters corresponding to the optimal guidance laws also need to be analyzed. For adversaries obeying first-order dynamics, the performance of the guidance laws is simulated for different parameters, and under reasonable parameter choices, the simulation results show that the new optimal guidance law can enable the target to assist the defender in effectively intercepting the attacker.


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