As to oppositional, multi-objective and hierarchical characteristic of air formation to ground attackdefends campaign, and using dynamic space state model of military campaign, this article establishes a principal and...As to oppositional, multi-objective and hierarchical characteristic of air formation to ground attackdefends campaign, and using dynamic space state model of military campaign, this article establishes a principal and subordinate hierarchical interactive decision-making way, the Nash-Stackelberg-Nash model, to solve the problems in military operation, and find out the associated best strategy in hierarchical dynamic decision-making. The simulating result indicate that when applying the model to air formation to ground attack-defends decision-making system, it can solve the problems of two hierarchies, dynamic oppositional decision-making favorably, and reach preferable effect in battle. It proves that the model can provide an effective way for analyzing a battle,展开更多
在目标-攻击弹-防御弹群(target-attacker-defenders,TADs)系统中,防御弹群通过与目标(载机)异构协同、弹群间同构协同以保护载机并降低单弹脱靶的风险。针对TADs系统在二维平面下的协同主动防御模型进行了研究,采用机/弹协同和防御弹...在目标-攻击弹-防御弹群(target-attacker-defenders,TADs)系统中,防御弹群通过与目标(载机)异构协同、弹群间同构协同以保护载机并降低单弹脱靶的风险。针对TADs系统在二维平面下的协同主动防御模型进行了研究,采用机/弹协同和防御弹群协同的两层制导策略。在机弹协同方面,防御弹领弹与载机进行异构协同,考虑载机及防御弹领弹的机动能力限制,采用协同视线制导律(cooperative line of sight guidance,CLOSG)分别得到载机和防御弹领弹的制导指令;在防御弹群协同方面,考虑单弹计算能力约束,拦截时间约束和加速度约束,设计出基于分布式模型预测控制(distributed model predictive control,DMPC)的算法实现弹群从弹和防御弹领弹协同同时抵达并拦截攻击弹。仿真结果表明,多防御弹协同一致拦截制导算法能够实现TADs系统中载机和防御弹群的异构协同主动防御,并实现防御弹群的一致性同时拦截,以降低单弹脱靶的风险。展开更多
为实现高效、快速、客观地对对地攻击无人机自主作战效能进行评估,文中引入向量加权平均算法(Weighed Mean of Vectors Algorithm,INFO)和K折交叉验证方法对随机森林算法(Random Forest,RF)进行优化寻找最优参数组合,提出了基于优化随...为实现高效、快速、客观地对对地攻击无人机自主作战效能进行评估,文中引入向量加权平均算法(Weighed Mean of Vectors Algorithm,INFO)和K折交叉验证方法对随机森林算法(Random Forest,RF)进行优化寻找最优参数组合,提出了基于优化随机森林的对地攻击无人机自主作战效能评估方法。首先,基于向量加权平均优化算法理论,对随机森林决策树模型数量以及最大深度两项超参数进行寻优。其次,结合对地攻击无人机作战任务,对自主作战效能评估的主要作战因素进行分析,归纳总结了对地攻击无人机自主作战效能评估指标体系,并建立了基于INFO-RF的无人机自主作战效能评估模型。最后,通过对评估模型进行实例验证并与其他方法进行对比分析,结果表明,相较于传统RF模型、GA-RF模型和SVM模型,INFO-RF模型输出结果具有较高的拟合度和更为精确的评估值,实例结果有效验证了所提方法的合理性和优化模型的可靠性。展开更多
To investigate the attack and defense strategies in complex net works,the authors propose a two-player zero-sum static game model with complete information which considers attack and defense strategies simultaneously....To investigate the attack and defense strategies in complex net works,the authors propose a two-player zero-sum static game model with complete information which considers attack and defense strategies simultaneously.The authors assume that both the attacker and defender have two typical strategies:Targeted strategy and random strategy.The authors explore the Nash equilibriums of the attacker-defender game and demonstrate that when the attacker's attack resources are not so significantly abundant as the defender's resources,there exists a pure-strategy Nash equilibrium in both model net works and real-world net works,in which the defender protects the hub t arge ts with large degrees preferentially,while the attacker prefers selecting the targets randomly.When the attack resources are much higher than defense resources,both the attacker and the defender adopt the targeted strategy in equilibriums.This paper provides a new theoretical framework for the study of attack and defense st rat egies in complex net works.展开更多
A defender–attacker–target problem with non-moving target is considered.This problem is modelled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional.In this game,the pu...A defender–attacker–target problem with non-moving target is considered.This problem is modelled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional.In this game,the pursuer is the defender,while the evader is the attacker.The objective of the pursuer is to minimise the cost functional,while the evader has two objectives:to maximise the cost functional and to keep a given terminal state inequality constraint.The open-loop saddle point solution of this game is obtained in the case where the transfer functions of the controllers for the defender and the attacker are of arbitrary orders.展开更多
基金College Doctor Foundation (20060699026)Aviation Basic Scientific Foundation (05D53021).
文摘As to oppositional, multi-objective and hierarchical characteristic of air formation to ground attackdefends campaign, and using dynamic space state model of military campaign, this article establishes a principal and subordinate hierarchical interactive decision-making way, the Nash-Stackelberg-Nash model, to solve the problems in military operation, and find out the associated best strategy in hierarchical dynamic decision-making. The simulating result indicate that when applying the model to air formation to ground attack-defends decision-making system, it can solve the problems of two hierarchies, dynamic oppositional decision-making favorably, and reach preferable effect in battle. It proves that the model can provide an effective way for analyzing a battle,
文摘在目标-攻击弹-防御弹群(target-attacker-defenders,TADs)系统中,防御弹群通过与目标(载机)异构协同、弹群间同构协同以保护载机并降低单弹脱靶的风险。针对TADs系统在二维平面下的协同主动防御模型进行了研究,采用机/弹协同和防御弹群协同的两层制导策略。在机弹协同方面,防御弹领弹与载机进行异构协同,考虑载机及防御弹领弹的机动能力限制,采用协同视线制导律(cooperative line of sight guidance,CLOSG)分别得到载机和防御弹领弹的制导指令;在防御弹群协同方面,考虑单弹计算能力约束,拦截时间约束和加速度约束,设计出基于分布式模型预测控制(distributed model predictive control,DMPC)的算法实现弹群从弹和防御弹领弹协同同时抵达并拦截攻击弹。仿真结果表明,多防御弹协同一致拦截制导算法能够实现TADs系统中载机和防御弹群的异构协同主动防御,并实现防御弹群的一致性同时拦截,以降低单弹脱靶的风险。
文摘为实现高效、快速、客观地对对地攻击无人机自主作战效能进行评估,文中引入向量加权平均算法(Weighed Mean of Vectors Algorithm,INFO)和K折交叉验证方法对随机森林算法(Random Forest,RF)进行优化寻找最优参数组合,提出了基于优化随机森林的对地攻击无人机自主作战效能评估方法。首先,基于向量加权平均优化算法理论,对随机森林决策树模型数量以及最大深度两项超参数进行寻优。其次,结合对地攻击无人机作战任务,对自主作战效能评估的主要作战因素进行分析,归纳总结了对地攻击无人机自主作战效能评估指标体系,并建立了基于INFO-RF的无人机自主作战效能评估模型。最后,通过对评估模型进行实例验证并与其他方法进行对比分析,结果表明,相较于传统RF模型、GA-RF模型和SVM模型,INFO-RF模型输出结果具有较高的拟合度和更为精确的评估值,实例结果有效验证了所提方法的合理性和优化模型的可靠性。
基金supported by the National Natural Science Foundation of China under Grant Nos.71871217 and 71371185the Natural Science Foundation of Hunan Province under Grant No.2019JJ20019
文摘To investigate the attack and defense strategies in complex net works,the authors propose a two-player zero-sum static game model with complete information which considers attack and defense strategies simultaneously.The authors assume that both the attacker and defender have two typical strategies:Targeted strategy and random strategy.The authors explore the Nash equilibriums of the attacker-defender game and demonstrate that when the attacker's attack resources are not so significantly abundant as the defender's resources,there exists a pure-strategy Nash equilibrium in both model net works and real-world net works,in which the defender protects the hub t arge ts with large degrees preferentially,while the attacker prefers selecting the targets randomly.When the attack resources are much higher than defense resources,both the attacker and the defender adopt the targeted strategy in equilibriums.This paper provides a new theoretical framework for the study of attack and defense st rat egies in complex net works.
文摘A defender–attacker–target problem with non-moving target is considered.This problem is modelled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional.In this game,the pursuer is the defender,while the evader is the attacker.The objective of the pursuer is to minimise the cost functional,while the evader has two objectives:to maximise the cost functional and to keep a given terminal state inequality constraint.The open-loop saddle point solution of this game is obtained in the case where the transfer functions of the controllers for the defender and the attacker are of arbitrary orders.
