Cooperative Aircraft Defense from an Attacking Missile using Proportional Navigation

García, Eloy; Casbeer, David W.; Pham, Khanh; Pachter, Meir

doi:10.2514/6.2015-0337

Cited by 31 publications

(13 citation statements)

References 19 publications

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“…Our preliminary work [23], [24] considered the cases when the Attacker implements typical guidance laws of Pure Pursuit and PN, respectively. In these papers, the TargetDefender team solves an optimal control problem that returns the optimal strategy for the T − D team so that D intercepts the Attacker and at the same time the separation between Target and Attacker at the instant of interception of A by D is maximized.…”

Section: Introductionmentioning

confidence: 99%

Active target defense differential game

Pachter

García²,

Casbeer³

2014

2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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A pursuit-evasion differential game involving three agents is discussed. This scenario considers an Attacker missile pursuing a Target aircraft. The Target is however aided by a Defender missile launched by, say, its wingman, to intercept the Attacker before it reaches the Target aircraft. Thus, a team is formed by the Target and the Defender which cooperate to maximize the distance between the Target aircraft and the point where the Attacker missile is intercepted by the Defender missile, and the Attacker which tries to minimize said distance. The solution to this differential game provides optimal heading angles for the Target and the Defender team to maximize the terminal separation between Target and Attacker and it also provides the optimal heading angle for the Attacker to minimize the said distance.

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Section: Introductionmentioning

confidence: 99%

Active target defense differential game

Pachter

García²,

Casbeer³

2014

2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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“…This scenario was described in [25,26]. In this problem, the target is already flying in a direction to evade the attacker, its potential fired defender will face the additional constraint to perform a 180 deg change of heading and being able to start following a coordinated trajectory that guarantees capture of the attacker.…”

Section: Example 3: Multi-agentsmentioning

confidence: 99%

“…Our preliminary results were presented in [25,26]. In the present Note, the cooperative optimal guidance approach is extended to consider a differential game (DG) formulation where the attacker missile solves his optimal control problem to minimize the final separation between itself and the target.…”

Section: Introductionmentioning

confidence: 99%

Cooperative Strategies for Optimal Aircraft Defense from an Attacking Missile

García

Casbeer

Pachter

2015

Journal of Guidance, Control, and Dynamics

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104

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“…Path defense is considered in [34]. In [37] and [38], a particular type of control laws (pure pursuit and proportional navigation) is considered for the pursuer; while some differential game settings are considered in [39]- [43]. In [40], two defenders are considered for target defense.…”

Section: Introductionmentioning

confidence: 99%

Kinematic Characterization of a Target-Defense Problem With an Interception and Expelling Strategy

Zhao

2019

IEEE Trans. Cybern.

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This paper considers a target-defense problem of one defender and one adversary (or called intruder), in which the defender tries to approach a desired interception-position between the intruder and the target to intercept the intruder and expel it from the target. The defender adopts this interception and expelling strategy since the defender is assumed to not capture or destroy the intruder. An expelling-decay exponent is introduced to characterize the expelling-decay rate on the intruder. The system is nonlinear, with distinct physical meaning and rich kinematics. The main concern in this paper is the analysis of the kinematic properties. First, two motion patterns of the system are characterized with respect to different values of the system parameters. Then, the stability and the transition condition of the two motion patterns are provided. Finally, the optimal interception of the defender is provided, which interestingly coincides with the transition condition for the two motion patterns. The interpretations for the physical meaning of the optimal interception are also provided.

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Cooperative Aircraft Defense from an Attacking Missile using Proportional Navigation

Cited by 31 publications

References 19 publications

Active target defense differential game

Active target defense differential game

Cooperative Strategies for Optimal Aircraft Defense from an Attacking Missile

Kinematic Characterization of a Target-Defense Problem With an Interception and Expelling Strategy

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