Cooperative Differential Games Strategies for Active Aircraft Protection from a Homing Missile

Perelman, Andrey; Shima, Tal; Rusnak, Ilan

doi:10.2514/1.51611

Cited by 189 publications

(63 citation statements)

References 14 publications

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“…If this guidance law is applied back to the original system, certain optimality may be sacrificed because the nominal state variables vary with time. It is reasonable to assume the convergence of the small perturbed states to be faster than the varying of the nominal state variables, which is commonly considered valid in the literature .…”

Section: Differential Game Based Guidance Lawmentioning

confidence: 99%

A Differential Game Based Guidance Law for an Accelerating Exoatmospheric Missile

Liu

2016

Asian Journal of Control

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A differential game‐based guidance law design is proposed for a class of accelerating exoatmospheric missiles. By analyzing the nonlinear dynamic equations, a class of motions that does not require maneuver effort is derived for the missile. Using this property, a two phase guidance scheme can be derived that permits a perfect interception. In Phase 1, the missile is put in collision course with the target, which means in Phase 2 the missile should intercept the target with a straight line flight course, at a specified terminal body angle. Differential game based guidance laws are derived respectively for the two phases to guarantee the implementation of the guidance scheme. Simulation results show that the methodology provides robust interception performance.

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Section: Differential Game Based Guidance Lawmentioning

confidence: 99%

A Differential Game Based Guidance Law for an Accelerating Exoatmospheric Missile

Liu

2016

Asian Journal of Control

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“…Since missile i ceases to exist for t > t f i , then its controller is nulled and, based on Eq. (26), the respective variables Z i t and Z ni t are constant (see [27] for details). Thus, Eq.…”

Section: Order Reductionmentioning

confidence: 99%

Cooperative Optimal Guidance Laws for Imposing a Relative Intercept Angle

Shaferman

Shima

2015

Journal of Guidance, Control, and Dynamics

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110

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Optimal control-based cooperative guidance laws, which enforce at intercept a relative geometry in between a group of missiles and a single maneuvering target, are presented. An example scenario of interest is that of intercepting a high-value target (such as a ballistic missile) by a team of cooperating interceptors arriving from different directions. The problem is posed in the linear quadratic framework, and closed-form analytic solutions are obtained for any team size with any linear missile dynamics. The performance of the cooperative guidance laws is investigated using a nonlinear two-dimensional simulation of the missiles' lateral dynamics and relative kinematics. It is shown that cooperatively imposing a relative intercept angle between the missiles provides substantially better results than when each missile independently enforces, using a one-on-one strategy, a preselected intercept angle that satisfies the relative intercept requirement. It is also shown that the missiles' acceleration requirements are comparable to conventional guidance laws, which do not impose an angular constraint at interception.pride of lions is a substantially more formidable threat to their prey than a single wolf or lion. This increased capability stems from cooperation tactics, which includes surrounding, intimidating, and exhausting their prey. Similarly, cooperation in interceptor missile

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“…That work presents a solution to the full-knowledge differential game; however, the LQDG solution suffers the mentioned drawbacks. More recently, [12] presented a cooperative target-defender guidance strategy against a pursuing missile. That article is based on a two-team LQDG and provides an optimal analytic solution for the target-defender pair.…”

Section: Introductionmentioning

confidence: 99%

Vector Guidance Approach to Three-Player Conflict in Exoatmospheric Interception

Rubinsky

Gutman

2015

Journal of Guidance, Control, and Dynamics

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This paper discusses a three-player conflict in which a missile intercepts a target while avoiding a defender launched by the target, all having bounded controls. Unlike linearized kinematics, the present approach adopts full three-dimensional vector kinematics suitable for an exoatmospheric engagement. In particular, time to go is calculated using a recently developed, game theoretic nonlinear feedback equation, leading to a guaranteed miss strategy and to simple sufficient conditions for the missile to intercept the target while avoiding the defender.

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Cooperative Differential Games Strategies for Active Aircraft Protection from a Homing Missile

Cited by 189 publications

References 14 publications

A Differential Game Based Guidance Law for an Accelerating Exoatmospheric Missile

A Differential Game Based Guidance Law for an Accelerating Exoatmospheric Missile

Cooperative Optimal Guidance Laws for Imposing a Relative Intercept Angle

Vector Guidance Approach to Three-Player Conflict in Exoatmospheric Interception

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