对策论在雷达电子战效能评估中的应用

介绍了对策论的基本内容和分析方法,包括对策论所涉及问题的要素和分类.指出了对策论在雷达电子战效能评估中应用的可行性和必要性.分析了电子对抗博弈双方采取不同对抗技术措施的得益矩阵,并在此得益矩阵的基础上,重点研究了对策论在电子对抗效能评估过程中的应用.     

Decision-making of Aircraft Optimum Configuration Utilizing Multidimensional Game Theory

As multi-discipline coupling and components interference often affect the aircraft configuration decision-making and analysis during conceptual design process, this article presents an approach of multidimensional game theory based on aircraft components to deal with this problem. The idea is that the configuration decision-making process is regarded as the game for different disciplines and technologies, and the aircraft components are players. The payoff function with highest total gain means that according to the game protocols and multidimensional theory, the optimal aircraft configuration within the strategy set will be chosen. The decision-making model is applied to conceptual design process of the high altitude long endurance (HALE) unmanned aerial vehicle (UAV) based on the assessment of technological risk. The obtained optimum configuration is quite consistent with the current HALE UAV development trends. Thus, taking into account the coupling and interference factors, the multidimensional gaming model based on aircraft components will be an effective analysis method in the decision-making process of aircraft optimum configuration.     

金融服务滞后产业发展的成因及对策——以航空业为例

分析了在战略产业发展过程中金融业服务滞后的各种表现，从战略产业经济结构调整本身、风险约束和金融宏观政策传导三个方面剖析了金融服务滞后的原因。以民用航空制造业的发展为例，用博弈论对金融在支持战略产业发展过程中的两难状况作了理论和实证分析，提出金融支持战略产业的发展是金融发展的最优选择的观点。最后从金融体系、资金投入和金融服务等方面提出相应的对策建议。     

Evasion guidance algorithms for air-breathing hypersonic vehicles in three-player pursuit-evasion games

In practical combat scenario, the cooperative intercept strategies are often carefully designed, and it is challenging for the hypersonic vehicles to achieve successful evasion. Based on the analysis, it can be found that if several Successive Pursuers come from the Same Direction (SPSD) and flight with a proper spacing, the evasion difficulty may increase greatly. To address this problem, we focus on the evasion guidance strategy design for the Air-breathing Hypersonic Vehicles (AHVs) under the SPSD combat scenario. In order to avoid the induced influence on the scramjet, altitude and speed of the vehicle, the lateral maneuver and evasion are employed. To guarantee the remnant maneuver ability, the concept of specified miss distance is introduced and utilized to generate the guidance command for the AHV. In the framework of constrained optimal control, the analytical expression of the evasion command is derived, and the constraints of the overload can be ensured to be never violated. In fact, by analyzing the spacing of the pursers, it can be classified whether the cooperative pursuit is formed. For the coordination-unformed multiple pursers, the evasion can be achieved lightly by the proposed strategy. If the coordination is formed, the proposed method will generate a large reverse direction maneuver, and the successful evasion can be maintained as a result. The performance of the proposed algorithms is tested in numerical simulations.     

Load distribution strategy for multi-lift system with helicopters based on power consumption and robust adaptive game control

It is of great significance to reasonably distribute the slung load to each helicopter while considering difference in power consumption, relative position and interaction comprehensively. Therefore, the load distribution strategy based on power consumption and robust adaptive game control is proposed in this paper. The study is on a “2-lead” multi-lift system of four tandem helicopters carrying a load cooperatively. First, based on the hierarchical control, the load distribution problem is divided into two parts: the calculation of expected cable force and the calculation of the anti-disturbance cable force. Then, aimed at minimizing the maximum equivalent power of helicopter, an optimization problem is set up to calculate the expected cable force. Specially, the agent power model is trained by BP neural network, the safe distance constraint between helicopters is set to 2.5 rotor diameters to reduce aerodynamic interference, and the helicopters with different performance can be considered by introducing the equivalent power factor into the objective function. Next, considering the difference and interaction between helicopters, the robust adaptive differential game control is proposed to calculate the anti-disturbance cable force. Particularly, to solve the coupled Hamiltonian equations, an adaptive solving method for value function is proposed, and its stability is proved in the sense of Lyapunov. The simulation results indicate that the proposed load distribution method based on power consumption is applicable to the entire flight trajectory even there are differences between helicopters. The game control can consider interaction between helicopters, can deal with different objective functions, and has strong robustness and small steady-state error. Based on the entire strategy, the cable force can be reasonably allocated so as to resist disturbance and improve the flight performance of the whole system.     

现代对策论研究

对策论是研究斗争局势中冲突问题的数学理论,笔者长期以来在此领域进行了大量的研究探讨,本文概要介绍了主要工作。     

失效卫星姿态接管的并行学习合作博弈控制

针对多颗微小卫星合作接管失效卫星姿态运动的问题,研究了考虑微小卫星控制约束的多星合作博弈策略学习与协同控制方法。首先,建立了微小卫星合作博弈模型,给出了能够处理微小卫星控制约束的多星合作博弈帕累托最优策略显式表达式。其次,针对微小卫星合作博弈策略学习需求,通过过去与当前时刻数据的并行使用,设计了基于并行学习的策略迭代方法,该方法放松了神经网络（NN）权值矢量学习对持续激励条件的要求。给出了为确保神经网络权值矢量估值收敛,所使用的过去时刻数据所需满足的条件,并通过Lyapunov方法分析了神经网络权值矢量估计误差的一致最终有界性。之后,采用并行学习策略迭代方法进行了微小卫星合作博弈帕累托最优策略数值解的逼近。所获得的合作博弈策略具有反馈控制形式,在进行神经网络权值矢量学习后,各微小卫星能够通过合作博弈策略的独立计算实现失效卫星姿态运动接管过程中的闭环协同控制。所设计方法避免了传统姿态控制方法所需进行的力矩分配,消除了微小卫星数量对其控制计算复杂度的影响。最后,通过数值仿真对所设计方法的有效性进行了验证。     

基于混合战略均衡双寡头航空公司定价博弈研究

利用产品差异化理论和博弈理论,建立了双寡头航空公司市场竞争定价的不完全信息静态博弈模型,假定双方经营相同航线、选择相同机型、面临相同旅客,而在产品价格和服务水平方面存在差异性,在文献【1】中证明了这种博弈不存在纯策略均衡,按照纳什均衡解存在性理论,对混合战略均衡进行求证,得出结论：双方价格和服务水平的大小关系一致时,其市场份额和期望利润的关系与之相同;双方两因素关系随机变化时,其市场份额及期望利润同其变化程度有关,即结果不确定。     

基于多agent合作博弈的制造系统调度

针对有多个加工和装备设备的柔性制造系统,提出了一种调度方法.首先根据产品装配结构对问题进行分解,得到多个易于调度的简单问题,形成对应的agent.然后应用合作博弈理论,根据各agent重要性和装配约束获得agent的排序.以此顺序在机器上按照规则进行生产安排,故能够得到满足产品加工约束的近似最优调度结果.最后通过实验对算法进行了验证.     

Distributed online mission planning for multi-player space pursuit and evasion

There are three important roles in evasion conflict: pursuer, target and defender. Pur-suers’ mission is to access targets;targets’ mission is to escape from pursuers’ capture;defenders’ mission is to intercept pursuers who are potentially dangerous to targets. In this paper, a distributed online mission plan (DOMP) algorithm for pursuers is proposed based on fuzzy evaluation and Nash equilibrium. First, an integrated effectiveness evaluation model is given. Then, the details of collaborative mission planning which includes the co-optimization of task distributing, trajectory and corresponding maneuvering scheme are presented. Finally, the convergence and steadiness of DOMP are discussed with simulation results. Compared with centralized mission planning, DOMP is more robust and can greatly improve the effectiveness of pursuing. It can be applied to dynamic scenario due to its distributed architecture.