scholarly journals Capturability Analysis of TPN Guidance Law for Circular Orbital Pursuit-Evasion

2017 ◽  
Vol 60 (6) ◽  
pp. 347-354
Author(s):  
Dateng YU ◽  
Hua WANG ◽  
Jianping ZHOU ◽  
Kebo LI
Keyword(s):  
Pursuit Evasion ◽  
Guidance Law

Planar Pursuit-Evasion Subjected to Control Energy Constraint

1989 ◽  
Vol 111 (4) ◽  
pp. 661-666
Author(s):  
Y. Yavin ◽  
R. deVilliers
Keyword(s):  
Differential Games ◽  
Vertical Plane ◽  
Variable Speed ◽  
Proportional Navigation ◽  
Optimal Feedback ◽  
Pursuit Evasion ◽  
Gravitational Forces ◽  
Guidance Law ◽  
Pursuit Strategy ◽  
Proportional Navigation Guidance

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.

3D optimal defensive guidance strategy with safe distance

2019 ◽  
Vol 41 (15) ◽  
pp. 4285-4300
Author(s):  
Feng Fang ◽  
Yuanli Cai ◽  
Faryar Jabbari
Keyword(s):  
Optimal Control ◽  
Analytical Solutions ◽  
Three Dimensional ◽  
Safe Distance ◽  
Active Defense ◽  
Pursuit Evasion ◽  
Guidance Law ◽  
3D Space ◽  
Optimal Guidance ◽  
Forward Extension

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.

Optimal strategy for target protection with a defender in the pursuit-evasion scenario

2018 ◽  
Vol 15 (3) ◽  
pp. 289-301
Author(s):  
Qilong Sun ◽  
Naiming Qi ◽  
Mingying Huo
Keyword(s):  
Optimal Strategy ◽  
First Order ◽  
Pursuit Evasion ◽  
Guidance Law ◽  
Optimal Guidance ◽  
Evasion Strategy ◽  
Simulation Results ◽  
Guidance Laws

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.

Study of A Pursuit-Evasion Guidance Law for High Performance Aircraft

1989 ◽  
Author(s):  
Peggy S. Williams ◽  
Robert F. Antoniewicz ◽  
Eugene L. Duke ◽  
P.K.A. Menon
Keyword(s):  
High Performance ◽  
Pursuit Evasion ◽  
Guidance Law ◽  
High Performance Aircraft

scholarly journals Fractional Calculus Guidance Algorithm in a Hypersonic Pursuit-Evasion Game

2017 ◽  
Vol 67 (6) ◽  
pp. 688 ◽  
Author(s):  
Jian Chen ◽  
Qilun Zhao ◽  
Zixuan Liang ◽  
Peng Li ◽  
Zhang Ren ◽  
...  
Keyword(s):  
Fractional Calculus ◽  
Guidance System ◽  
System Stability ◽  
Line Of Sight ◽  
Differential Signal ◽  
Pursuit Evasion ◽  
Guidance Law ◽  
Evasion Game ◽  
Nonlinear Tracking ◽  
Guidance Algorithm

<p class="p1">Aiming at intercepting a hypersonic weapon in a hypersonic pursuit-evasion game, this paper presents a fractional calculus guidance algorithm based on a nonlinear proportional and differential guidance law. First, under the premise of without increasing the complexity degree of the guidance system against a hypersonic manoeuvering target, the principle that the differential signal of the line-of-sight rate is more sensitive to the target manoeuver than the line-of-sight rate is employed as the guidelines to design the guidance law. A nonlinear proportional and differential guidance law (NPDG) is designed by using the differential derivative of the line-of-sight rate from a nonlinear tracking differentiator. By using the differential definition of fractional calculus, on the basis of the NPDG, a fractional calculus guidance law (FCG) is proposed. According to relative motions between the interceptor and target, the guidance system stability condition with the FCG is given and quantitative values are also proposed for the parameters of the FCG. Under different target manoeuver conditions and noisy conditions, the interception accuracy and robustness of these two guidance laws are analysed. Numerical experimental results demonstrate that the proposed guidance algorithms effectively reduce the miss distance against target manoeuvers. Compared with the NPDG, a stronger robustness of the FCG is shown under noisy condition.</p>

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