基于非线性最优反馈控制的远程拦截闭环制导

利用非线性最优反馈控制和伪谱轨迹快速重构技术,设计了一种有限推力空间远程拦截自适应闭环制导方法。首先建立了有限推力远程拦截最优制导问题模型,并给出了适用于该问题的非线性最优反馈控制求解原理。然后,将空间变轨动力学模型特点和伪谱法相结合,设计了基于状态量缩减的计算效率改进策略以提高轨迹优化的实时性。基于改进伪谱法进行连续轨迹快速重构,利用开环最优解形成闭环反馈,从而保证制导指令的实时更新,并通过引入控制逻辑对制导算法进行改进。时间最短远程拦截仿真表明,该闭环制导方法在保证任务指标最优性的同时,可以有效抑制J2摄动和计算误差的影响,具有较高的制导精度、自适应性和鲁棒性。     

基于混料设计的快硬土壤固化材料配方优化

为探索普通硅酸盐水泥(P·O)、熟石灰(HL)、硅灰(SF)三元混料系统对固化土无侧限抗压强度的影响,综合极端顶点设计和均匀设计思想建立混料回归模型,得出了响应面图形,确定了三元混料系统的最佳配方。在该配方下,固化土7d实际抗压强度可以达到4.75MPa。通过交互作用分析揭示了混料因子间的作用规律:P·O与HL交互作用对固化土7d无侧限抗压强度影响极其显著,P·O与SF交互作用对固化土7d无侧限抗压强度影响显著。对比试验表明,该混料设计方案对提高固化土7d无侧限抗压强度有显著效果,对土壤固化剂配合比优化设计和固化土无侧限抗压强度预测具有指导意义。     

Optimal replacement of continuously degrading systems in partially observed environments

Motivated by wind energy applications, we consider the problem of optimally replacing a stochastically degrading component that resides and operates in a partially observable environment. The component's rate of degradation is modulated by the stochastic environment process, and the component fails when it is accumulated degradation first reaches a fixed threshold. Assuming periodic inspection of the component, the objective is to minimize the long‐run average cost per unit time of performing preventive and reactive replacements for two distinct cases. The first case examines instantaneous replacements and fixed costs, while the second considers time‐consuming replacements and revenue losses accrued during periods of unavailability. Formulated and solved are mixed state space, partially observable Markov decision process models, both of which reveal the optimality of environment‐dependent threshold policies with respect to the component's cumulative degradation level. Additionally, it is shown that for each degradation value, a threshold policy with respect to the environment belief state is optimal if the environment alternates between two states. The threshold policies are illustrated by way of numerical examples using both synthetic and real wind turbine data. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 395–415, 2015     

Signal‐to‐interference‐plus‐noise ratio estimation for wireless communication systems: Methods and analysis

The Signal‐to‐Interference‐plus‐Noise Ratio (SINR) is an important metric of wireless communication link quality. SINR estimates have several important applications. These include optimizing the transmit power level for a target quality of service, assisting with handoff decisions and dynamically adapting the data rate for wireless Internet applications. Accurate SINR estimation provides for both a more efficient system and a higher user‐perceived quality of service. In this paper, we develop new SINR estimators and compare their mean squared error (MSE) performance. We show that our new estimators dominate estimators that have previously appeared in the literature with respect to MSE. The sequence of transmitted bits in wireless communication systems consists of both pilot bits (which are known both to the transmitter and receiver) and user bits (which are known only by the transmitter). The SINR estimators we consider alternatively depend exclusively on pilot bits, exclusively on user bits, or simultaneously use both pilot and user bits. In addition, we consider estimators that utilize smoothing and feedback mechanisms. Smoothed estimators are motivated by the fact that the interference component of the SINR changes relatively slowly with time, typically with the addition or departure of a user to the system. Feedback estimators are motivated by the fact that receivers typically decode bits correctly with a very high probability, and therefore user bits can be thought of as quasipilot bits. For each estimator discussed, we derive an exact or approximate formula for its MSE. Satterthwaite approximations, noncentral F distributions (singly and doubly) and distribution theory of quadratic forms are the key statistical tools used in developing the MSE formulas. In the case of approximate MSE formulas, we validate their accuracy using simulation techniques. The approximate MSE formulas, of interest in their own right for comparing the quality of the estimators, are also used for optimally combining estimators. In particular, we derive optimal weights for linearly combining an estimator based on pilot bits with an estimator based on user bits. The optimal weights depend on the MSE of the two estimators being combined, and thus the accurate approximate MSE formulas can conveniently be used. The optimal weights also depend on the unknown SINR, and therefore need to be estimated in order to construct a useable combined estimator. The impact on the MSE of the combined estimator due to estimating the weights is examined. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

翼伞精确空投系统归航轨迹规划与控制?

翼伞归航轨迹规划与控制问题是翼伞系统在一定初始状态下,利用自身可操作性,完成从初始位置到目标位置的转移问题。针对翼伞空投系统不同归航要求,规划出满足精度要求为圆径概率误差（ CEP ）小于40m的归航轨迹并经过一定量的控制完成翼伞空投系统精确空投任务。首先建立翼伞系统状态空间六自由度模型,并在此基础上提出系统简化稳态模型,通过最优控制方法,规划出满足空投要求的最优归航轨迹后对翼伞进行不断控制直至目标点。最后通过Matlab仿真试验,绘出翼伞系统归航轨迹图与控制变化图。     

防空导弹弹道跟踪制导规律研究

根据李亚普诺夫稳定性原理,利用基准优化弹道参数构造滑动面,提出了一种新的弹道跟踪制导规律。对跟踪制导规律的数学原理进行了描述,给出了详细的推导过程和二维平面弹道仿真数学模型及仿真结果。结果表明所提出的弹道跟踪制导规律能使导弹快速跟踪基准优化弹道。     

装备保障人员优化配置方法研究

将装备保障人员按级别分为操作人员、维修人员及管理人员,结合人员进入、培训和退出的状态,构造了状态转移矩阵,求出了各级别人员数量。定义了不同级别针对不同任务的保障效率,按照保障人员完成最高效率任务构建了最优化配置模型。通过实例验证了模型的实用性。     

无人机姿态控制系统的优化设计与仿真

应用线性二次型性能指标的最优控制理论,对无人机姿态控制系统进行了优化设计,通过仿真实现了系统的最优调节。在设计和仿真过程中,借助于MATLAB最优控制工具箱及有关命令,使设计变得简单、效率得到提高。     

舰艇编队对空防御队形优化配置模型

分析了海上机动编队中防空舰的位置配置对舰艇编队拦截目标效果的影响,通过舰艇对来袭目标拦截概率的推导,建立了被掩护舰的生存概率模型,从而提供了一种解算编队防御队形最佳配置的方法。     

航天器交会中的多圈Lambert问题研究

针对大椭圆轨道追踪器固定时间直接碰撞交会问题,介绍了一种快速确定多圈Lambert问题最优解的新方法。研究了多圈Lambert转移解,分析了转移时间与转移轨道参数的关系;研究了无时间约束最优直接碰撞交会及其必要条件。仿真表明:最优解快速确定方法有效、可行,并可提高计算效率。