Differential Turns

Kelley, Henry J.; Lefton, Leon

doi:10.2514/3.50524

Cited by 15 publications

(4 citation statements)

References 2 publications

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“…Similar to the barrier concept developed in formal approach and optimal theory-based method, the barrier surfaces were calculated in the DT-based approach, see Kelley and Lefton 145 for details. Also in Kelley and Lefton, 145 in contrast to the prior work in Kelley and Lefton 139,141 and Kelley, 142–144 which considers only the aircraft dynamics, the effect of the weaponry system was discussed. This effect was modeled via radius and conic limit of the weapon.…”

Section: Mathematics-based Approachesmentioning

confidence: 99%

“…In the reduced-order system, horizontal position coordinates are excluded, as the turning-based maneuvers primarily consists of concentric circling motions. By adopting the summarized energy for both players, E 1 , E 2 , and by defining the heading difference of the two players Δχ=χ1-χ2, the reduced-order motion equations yield 141 wherein Vi,Ti,ηi,Di,Wi are the speed, maximum thrust, thrust coefficient (0≤ηi≤1), drag, and weight of the players. Also, in equation (31), g is the gravitational acceleration, L i the lift, and μi the bank angle of the players.…”

Section: Mathematics-based Approachesmentioning

confidence: 99%

“…Certain inequality constraints are also modeled on the system: β1≥0 for terrain, β2≥0 for dynamic pressure limit, β3≥0 for Mach number limit, β4 and β5 for lift/normal load factor limit, and β6 for engagement altitude ceiling limit. 141…”

Section: Mathematics-based Approachesmentioning

confidence: 99%

“…Methods that are similar to the one listed in optimal theory-based approach can be utilized, see Kelley and Lefton 139,141 and Kelley 142–144 for more details. Again, by assigning one of the two players as pursuer/evader and the other as evader/pursuer, two different games are solved.…”

Section: Mathematics-based Approachesmentioning

confidence: 99%

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Guidance and control for own aircraft in the autonomous air combat: A historical review and future prospects

Dong

Liu

2019

Proceedings of the Institution of Mechanical Engineers, Part G:

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The Autonomous Air Combat technique has been a lasting research topic for decades. However, no complete solutions seem to have appeared because of the highly dynamic and complex nature of the Autonomous Air Combat problem. In devising the Autonomous Air Combat solutions, we follow similar methodologies in the robotics community, and divide the overall scheme into two folds: the perception of other (enemy/friendly) aircraft, and the guidance/control for own aircraft. While the perception in the first fold serves as a foundation, this paper is mainly focused on the second one. Based on our survey, a review of own aircraft guidance/control in the (primarily one-to-one) Autonomous Air Combat solutions is presented. We divide different Autonomous Air Combat solutions into three groups, i.e. mathematics-based, knowledge-encoded, and learning-driven. In each group, we present the representative methods first; problem definition, solution, and a brief overview of the historical development are illustrated. We also comment on both weakness and strengths for each group/method. We point out certain technical paths/challenges that need to be addressed in the future Autonomous Air Combat development, i.e. to abstract and emulate the human pilot experiences, and to develop the online learning capabilites. Inspired by the state-of-art techniques in other similar fields (robotics, autonomous driving), we also propose potential solutions, i.e. traditional approaches enhanced by the novel data-driven technique. Via this paper, we hope to deliver an in-depth analysis of past experiences and potential challenges/solutions for the Autonomous Air Combat technique. We also advocate referring to the approaches/techniques that are utilized in other similar fields in devising the Autonomous Air Combat solutions.

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Section: Mathematics-based Approachesmentioning

confidence: 99%

Section: Mathematics-based Approachesmentioning

confidence: 99%

Section: Mathematics-based Approachesmentioning

confidence: 99%

Section: Mathematics-based Approachesmentioning

confidence: 99%

See 2 more Smart Citations

Guidance and control for own aircraft in the autonomous air combat: A historical review and future prospects

Dong

Liu

2019

Proceedings of the Institution of Mechanical Engineers, Part G:

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Flugabschnitte

Brüning¹,

Hafer²,

Sachs³

1993

Flugleistungen

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Planar pursuit-evasion with variable speeds, part 1, extremal trajectory maps

Prasad

Rajan

Rao

1981

J Optim Theory Appl

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Pursuit evasion in a plane is formulated with both players allowed to vary their speeds between fixed limits. A suitable choice of real-space coordinates confers open-loop optimality on the game. The solution in the small is described in terms of the individual players' extremal trajectory maps (ETM). Each map is independent of role, adversary, and capture radius. An ETM depicts the actual real-space trajectories. A template method of generating constant control arcs is described. Examples of ETM for an aircraft flying at a constant altitude with fixed and varying speeds are presented.

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Differential Turns

Cited by 15 publications

References 2 publications

Guidance and control for own aircraft in the autonomous air combat: A historical review and future prospects

Guidance and control for own aircraft in the autonomous air combat: A historical review and future prospects

Flugabschnitte

Planar pursuit-evasion with variable speeds, part 1, extremal trajectory maps

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