A Geometric Approach for the Cooperative Two-Pursuer One-Evader Differential Game

García, Eloy; Fuchs, Zachariah E.; Milutinović, Dejan; Casbeer, David W.; Pachter, Meir

doi:10.1016/j.ifacol.2017.08.2366

Cited by 48 publications

(18 citation statements)

References 7 publications

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“…(i) In a lot of previous work [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], either the acceleration constraint is not taken into account, or the bang-bang control is directly adopted and the energy optimization is ignored. In contrast, the evasion strategy introduces the boundary value M(lower bound of miss distance for successful evasion) and combines the concept of SMD and NDG theory, so as to solve the energy optimization problem under the premise of acceleration constraints.…”

Section: L\0 ð42þmentioning

confidence: 99%

“…There are also some evasion strategies derived by the differential game method [13][14][15][16][17][18][19][20]. The linear quadratic PE games with terminal velocity constraints is discussed by differential game method in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, Ref. [16][17][18] studied multiplayer PE games from other perspectives based on differential games.…”

Section: Introductionmentioning

confidence: 99%

“…In the aforementioned studies [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], the evasion tasks are all achieved by maximizing the miss distance or the line-of-sight angle rate. However, for the purpose of energy optimization and the subsequent combat missions after the evasion, maximizing the miss distance may cause the undesired energy consumption and deviation from the original course, may not be the best choice.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, Ref. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] assumes that the pursuers' information is fully known, but does not take into account the uncertainty of pursuer dynamics. And in the studies [22][23][24][25][26][27][28][29][30][31] of computational intelligence, the estimation of the uncertainty of pursuer dynamics is not addressed.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Evasion guidance for air-breathing hypersonic vehicles against unknown pursuer dynamics

Tian

Cai

2021

Neural Comput & Applic

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The rapid development of hypersonic vehicles has motivated the related research dramatically while the evasion of the hypersonic vehicles becomes one of the challenging issues. Different from the work based on the premise that the pursuers’ information is fully known, in this paper the evasion guidance for air-breathing hypersonic vehicles (AHVs) against unknown pursuer dynamics is studied. The gradient descent is employed for parameter estimation of the unknown dynamics of the pursuer. The energy-optimized evasion guidance algorithm is further developed by taking the acceleration constraint and energy optimization into consideration. Under the proposed algorithm, the system can deal with the unknown pursuer dynamics effectively and provide more practical guidance for the evasion process. The simulation results show that the proposed method can enable the AHV to achieve successful evasion.

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Section: L\0 ð42þmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In addition, Ref. [16][17][18] studied multiplayer PE games from other perspectives based on differential games.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Evasion guidance for air-breathing hypersonic vehicles against unknown pursuer dynamics

Tian

Cai

2021

Neural Comput & Applic

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Recent progress on the study of multi‐vehicle coordination in cooperative attack and defense: An overview

Zhou

et al. 2021

Asian Journal of Control

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Cooperative guidance and control design of multiple vehicles plays an important role in obtaining benefits of cooperation for enhancement of combat effectiveness in modern military. A number of efficient cooperative strategies have been developed in literature within this context. This paper aims to provide a detail overview of the theoretical advances toward multi-vehicle coordination for cooperative attack and defense. With a focus on the pertinent literature published in the past two decades, this topic is divided into two categories, namely, terminal-time coordination and multiplayer pursuit-evasion. The recent progress of these two categories is systematically reviewed, and a short discussion on future research perspectives is also presented.

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Real‐time game‐theoretic model predictive control for differential game of target defense

Sani

Hably

Robu

et al. 2023

Asian Journal of Control

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This paper evaluates experimentally a novel strategy for solving a variant of the differential game of target defense in presence of obstacles. The game is widely applied in the areas of military defense for protecting important equipment such as a ship, an aircraft, a moving vehicle, or a sensitive installation from a malicious attacker. The state‐of‐the‐art approaches mostly employ an offline optimization strategy that is only applicable to holonomic robots. Moreover, most of the approaches could not autonomously avoid obstacles or take into account uncertainties. As a consequence, this paper presents an online optimization technique, by designing a trade‐off parameter that integrates game theory with the model predictive control, which allows a nonholonomic defender to intercept the attacker while simultaneously defending the target. Simulations under different conditions as well as several indoor laboratory experiments validate the proposed approach. Moreover, performance is compared with a standard model predictive control approach.

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A Geometric Approach for the Cooperative Two-Pursuer One-Evader Differential Game

Cited by 48 publications

References 7 publications

Evasion guidance for air-breathing hypersonic vehicles against unknown pursuer dynamics

Evasion guidance for air-breathing hypersonic vehicles against unknown pursuer dynamics

Recent progress on the study of multi‐vehicle coordination in cooperative attack and defense: An overview

Real‐time game‐theoretic model predictive control for differential game of target defense

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