Nonlinear Differential Game Guidance Law for Guarding a Target

The active defense scenario in which the attacker evades from the defender and pursues the target is investigated. In this scenario, the target evades from the attacker, and the defender intercepts the attacker by using the optimal strategies. The evasion and the pursuit boundaries are investigated for the attacker when the three players use the one-to-one optimal guidance laws, which are derived based on differential game theory. It is difficult for the attacker to accomplish the task by using the one-to-one optimal guidance law; thus, a new guidance law is derived. Unlike other papers, in this paper, the accelerations of the target and the defender are unknown to the attacker. The new strategy is derived by linearizing the model along the initial line of sight, and it is obtained based on the open-loop solution form as the closed-loop problem is hard to solve. The results of the guidance performance for the derived guidance law are presented by numerical simulations, and it shows that the attacker can evade the defender and intercept the target successfully by using the proposed strategy.

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An Adaptive Weighted Differential Game Guidance Law

Chinese Journal of Aeronautics ◽

10.1016/s1000-9361(11)60440-8 ◽

2012 ◽

Vol 25 (5) ◽

pp. 739-746 ◽

Cited By ~ 7

Author(s):

Ping ZHANG ◽

Yangwang FANG ◽

Fengming ZHANG ◽

Bingsong XIAO ◽

Shiguo HU ◽

...

Keyword(s):

Differential Game ◽

Guidance Law

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RETRACTED: Differential game guidance law for a kinetic kill vehicle and its simulation

SIMULATION ◽

10.1177/0037549715588839 ◽

2015 ◽

Vol 95 (9) ◽

pp. NP1-NP1

Author(s):

Xing-Yuan Xu ◽

Xiao-Na Song ◽

Yuan-Li Cai

Keyword(s):

Differential Game ◽

Guidance Law

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Retraction notice

SIMULATION ◽

10.1177/0037549715604325 ◽

2015 ◽

Vol 91 (8) ◽

pp. NP1-NP1 ◽

Cited By ~ 2

Keyword(s):

Differential Game ◽

Linear Quadratic ◽

Guidance Control ◽

Guidance Law ◽

Retraction Notice ◽

Guidance Laws

At the request of the Editor(s) and the Publisher and author(s), the following article “Differential Game Guidance Law for a Kinetic Kill Vehicle and Its Simulation” by Xing-Yuan Xu, Xiao-Na Song and Yuan-Li Cai. Simulation, first published June 10, 2015, DOI 10.1177/0037549715588839 . has been retracted. The Editor has judged that the paper plagiarized the following article, and the authors have agreed to their paper being retracted: “Linear Quadratic Guidance Laws for Imposing a Terminal Intercept Angle” by Vitaly Shaferman and Tal Shima, Journal of Guidance, Control, and Dynamics, Vol. 31, No. 5, DOI 10.2514/1.32836.

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A nonlinear differential game

Cybernetics ◽

10.1007/bf01074764 ◽

1972 ◽

Vol 4 (1) ◽

pp. 67-68 ◽

Cited By ~ 1

Author(s):

E. N. Simakova

Keyword(s):

Differential Game ◽

Nonlinear Differential Game

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Integrated Estimation/Guidance Law against Exoatmospheric Maneuvering Targets

Complexity ◽

10.1155/2018/7470823 ◽

2018 ◽

Vol 2018 ◽

pp. 1-19 ◽

Cited By ~ 1

Author(s):

Mao Su ◽

Lei Liu ◽

Yongji Wang

Keyword(s):

Monte Carlo ◽

Kalman Filter ◽

Differential Game ◽

Extended Kalman Filter ◽

Unscented Kalman Filter ◽

Three Dimensional ◽

Guidance Law ◽

Maneuvering Targets ◽

Integrated Estimation ◽

Guidance Problem

An integrated guidance integrated estimation/guidance law is designed for exoatmospheric interceptors equipped with divert thrusters and optical seekers to intercept maneuvering targets. This paper considers an angles-only guidance problem for exoatmospheric maneuvering targets. A bounded differential game-based guidance law is derived against maneuvering targets using zero-effort-miss (ZEM). Estimators based the extended Kalman filter (EKF) and the unscented Kalman filter (UKF) are designed to estimate LOS rates that are contaminated by noise and target maneuver. Furthermore, to improve the observability of the range, an observability enhancement differential game guidance law is derived. The guidance law and the estimator are integrated together in the guidance loop. The proposed integrated estimation/guidance law has been tested in several three-dimensional nonlinear interception scenarios. Numerical simulations on a set of Monte-Carlo simulations prove the validity and superiority of the proposed guidance law in hit-to-kill interception.

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