Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement

A differential game guidance scheme with obstacle avoidance, based on the formulation of a combined linear quadratic and norm-bounded differential game, is designed for a three-player engagement scenario, which includes a pursuer, an interceptor, and an evader. The confrontation between the players...

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Main Authors: Xintao Wang, Ming Yang, Songyan Wang, Mingzhe Hou, Tao Chao
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2024-12-01
Series:Defence Technology
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214914724001600
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author Xintao Wang
Ming Yang
Songyan Wang
Mingzhe Hou
Tao Chao
author_facet Xintao Wang
Ming Yang
Songyan Wang
Mingzhe Hou
Tao Chao
author_sort Xintao Wang
collection DOAJ
description A differential game guidance scheme with obstacle avoidance, based on the formulation of a combined linear quadratic and norm-bounded differential game, is designed for a three-player engagement scenario, which includes a pursuer, an interceptor, and an evader. The confrontation between the players is divided into four phases (P1–P4) by introducing the switching time, and proposing different guidance strategies according to the phase where the static obstacle is located: the linear quadratic game method is employed to devise the guidance scheme for the energy optimization when the obstacle is located in the P1 and P3 stages; the norm-bounded differential game guidance strategy is presented to satisfy the acceleration constraint under the circumstance that the obstacle is located in the P2 and P4 phases. Furthermore, the radii of the static obstacle and the interceptor are taken as the design parameters to derive the combined guidance strategy through the dead-zone function, which guarantees that the pursuer avoids the static obstacle, and the interceptor, and attacks the evader. Finally, the nonlinear numerical simulations verify the performance of the game guidance strategy.
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institution DOAJ
issn 2214-9147
language English
publishDate 2024-12-01
publisher KeAi Communications Co., Ltd.
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series Defence Technology
spelling doaj-art-731982da831c4c96bf8f11199f57e6fd2025-08-20T02:50:05ZengKeAi Communications Co., Ltd.Defence Technology2214-91472024-12-014213615510.1016/j.dt.2024.06.018Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagementXintao Wang0Ming Yang1Songyan Wang2Mingzhe Hou3Tao Chao4Control and Simulation Center, Harbin Institute of Technology, Harbin 150001, China; National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin 150001, ChinaControl and Simulation Center, Harbin Institute of Technology, Harbin 150001, China; National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin 150001, ChinaControl and Simulation Center, Harbin Institute of Technology, Harbin 150001, China; National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin 150001, ChinaCenter for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, ChinaControl and Simulation Center, Harbin Institute of Technology, Harbin 150001, China; National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin 150001, China; Corresponding author.A differential game guidance scheme with obstacle avoidance, based on the formulation of a combined linear quadratic and norm-bounded differential game, is designed for a three-player engagement scenario, which includes a pursuer, an interceptor, and an evader. The confrontation between the players is divided into four phases (P1–P4) by introducing the switching time, and proposing different guidance strategies according to the phase where the static obstacle is located: the linear quadratic game method is employed to devise the guidance scheme for the energy optimization when the obstacle is located in the P1 and P3 stages; the norm-bounded differential game guidance strategy is presented to satisfy the acceleration constraint under the circumstance that the obstacle is located in the P2 and P4 phases. Furthermore, the radii of the static obstacle and the interceptor are taken as the design parameters to derive the combined guidance strategy through the dead-zone function, which guarantees that the pursuer avoids the static obstacle, and the interceptor, and attacks the evader. Finally, the nonlinear numerical simulations verify the performance of the game guidance strategy.http://www.sciencedirect.com/science/article/pii/S2214914724001600Active defense aircraftDifferential game theoryThree-player confrontationEnergy optimizationAcceleration constraintObstacle avoidance
spellingShingle Xintao Wang
Ming Yang
Songyan Wang
Mingzhe Hou
Tao Chao
Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement
Defence Technology
Active defense aircraft
Differential game theory
Three-player confrontation
Energy optimization
Acceleration constraint
Obstacle avoidance
title Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement
title_full Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement
title_fullStr Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement
title_full_unstemmed Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement
title_short Linear-quadratic and norm-bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three-player engagement
title_sort linear quadratic and norm bounded combined differential game guidance scheme with obstacle avoidance for attacking defended aircraft in three player engagement
topic Active defense aircraft
Differential game theory
Three-player confrontation
Energy optimization
Acceleration constraint
Obstacle avoidance
url http://www.sciencedirect.com/science/article/pii/S2214914724001600
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