关于多目标气动优化设计中伴随方法与对策理论的耦合研究(英文)

本文研究了多目标气动优化设计中伴随方法和对策理论的耦合问题,给出了伴随方法在每个对策策略中的具体应用和数值方法。在合作对策中伴随方法被并行地执行以共同得到Pareto阵面上的最优解;相反在Nash对策中伴随方法在Nash策略的最后被耦合起来以互相竞争的形式得到各自目标的最优解;而在Stackel-berg对策中伴随方法被分层耦合进"领头人"和"跟随者"的策略中以求解他们相互依赖的平衡解。文末的优化算例表明了本文耦合算法及其数值过程在求解多目标气动优化设计问题中的有效性。     

飞行综合控制系统空战决策方法

控制决策方法是飞机综合控制系统根据空战对策状态、双方的运动及性能参数等信息产生出机动策略的一种数学方法,是飞机综合控制系统决策层数学模型的重要组成。以空战攻防力学准则建立起的捕获临界条件作为评价函数,采用矩阵博弈数学方法求出离散化机动策略。主要内容：相对运动方程的建立;矩阵博弈策略算法;评价函数的建立等。     

An online data driven actor-critic-disturbance guidance law for missile-target interception with input constraints

In this article, we develop an online robust actor-critic-disturbance guidance law for a missile-target interception system with limited normal acceleration capability. Firstly, the missiletarget engagement is formulated as a zero-sum pursuit-evasion game problem. The key is to seek the saddle point solution of the Hamilton Jacobi Isaacs(HJI) equation, which is generally intractable due to the nonlinearity of the problem. Then, based on the universal approximation capability of Neural Networks(N...     

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.     

基于博弈论的自由空战指挥引导对策问题研究

博弈论是解决空战对抗问题的有效方法之一,针对目前自由空战筹划困难、指挥引导对策单一的现状,在现有空战博弈问题研究的基础上,扩展了机动动作库和控制参数,加入了雷达开机时机这一关键决策,分别从静态博弈和动态博弈角度出发,提出了构建自由空战指挥引导对策模型的思路,为下一步指挥引导对策模型的研究奠定了基础.     

制导规律研究现状及展望

系统地论述了古典和现代的一些制导规律的研究现状，分析了它们的优点和不足、适应范围和局限性，并讨论了它们的发展前景，其中郑重论述了比例导引、最优导引、微分对策和近年来热门研究的神经网络控制，可供从事导弹制民垢科研人员对现有制导规律有一个全面的认识，以便于更深入地研究。     

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。     

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.     

农村合作组织的经济学分析

发展农村合作组织,可以增加组织化收益,提高农民收入。农村合作组织的收益不但表现在价格上,而且可以在规模经济中表现出来。通过对农村合作组织的经济博弈分析,我们发现,农村合作组织就是基于合作后能够给多方主体共同产生效益最大化,从而共同分享合作剩余,也为政府引导地方经济发展提供了有效的激励制度范式。农村合作组织的制度绩效主要体现在制度激励、克服“农户＋公司”模式弊端、实现小农经济与市场经济的有效对接以及降低交易费用等方面。     

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。