三体系统中引力拖车的偏置非开普勒轨道研究

为了研究太阳-小行星-引力拖车三体系统中引力拖车的轨道运动问题,采用柱坐标系下的Hill方程描述了三体系统中引力拖车的运动情况,应用平均化方法消除周期项的影响,得到平均偏置非开普勒轨道的表达式,并研究了轨道稳定性与引力拖车最大有效拉力等问题.研究表明:三体系统中,在小行星飞行方向（或反方向）上存在偏置非开普勒轨道;与二...     

Neighboring optimal guidance for aeroassisted orbital transfer

A neighboring optimal guidance scheme for a nonlinear dynamic system is devised with stochastic inputs and perfect measurements as applicable to fuel optimal control of an aeroassisted orbital transfer vehicle. For the deterministic nonlinear dynamic system describing the atmospheric maneuver, a nominal trajectory is determined. Then, taking modeling uncertainties into account, a linear, stochastic, neighboring optimal guidance scheme is devised. Assuming the additive character of the stochastic effects, the optimal trajectory is approximated as the sum of the deterministic nominal trajectory and the stochastic neighboring optimal solution. Numerical results are presented for a typical aeroassisted orbital transfer vehicle     

OSIRIS-REx Flight Dynamics and Navigation Design

OSIRIS-REx is the first NASA mission to return a sample of an asteroid to Earth. Navigation and flight dynamics for the mission to acquire and return a sample of asteroid 101955 Bennu establish many firsts for space exploration. These include relatively small orbital maneuvers that are precise to ～1 mm/s, close-up operations in a captured orbit about an asteroid that is small in size and mass, and planning and orbit phasing to revisit the same spot on Bennu in similar lighting conditions. After preliminary surveys and close approach flyovers of Bennu, the sample site will be scientifically characterized and selected. A robotic shock-absorbing arm with an attached sample collection head mounted on the main spacecraft bus acquires the sample, requiring navigation to Bennu’s surface. A touch-and-go sample acquisition maneuver will result in the retrieval of at least 60 grams of regolith, and up to several kilograms. The flight activity concludes with a return cruise to Earth and delivery of the sample return capsule (SRC) for landing and sample recovery at the Utah Test and Training Range (UTTR).     

Influence of non-equilibrium reactions on the optimization of aerothrust aeroassisted maneuver with orbital change

The spaceplane is perspective vehicle due to wide maneuverability in comparison with a space capsule. Its maneuverability is expressed by the larger flight range and also by a possibility to rotate orbital inclination in the atmosphere by the aerodynamic and thrust forces. Orbital plane atmospheric rotation maneuvers can significantly reduce fuel costs compared to rocket-dynamic non-coplanar maneuver. However, this maneuver occurs at Mach numbers about 25, and such velocities lead to non-equilibrium chemical reactions in the shock wave. Such reactions change a physicochemical air property, and it affects aerodynamic coefficients. This paper investigates the influence of non-equilibrium reactions on the aerothrust aeroassisted maneuver with orbital change. The approach is to solve an optimization problem using the differential evolution algorithm with a temperature limitation. The spaceplane aerodynamic coefficients are determined by the numerical solution of the Reynolds-averaged Navier-Stokes equations. The aerodynamic calculations are conducted for the cases of perfect and non-equilibrium gases. A comparison of optimal trajectories, control laws, and fuel costs is made between models of perfect and non-equilibrium gases. The effect of a chemically reacting gas on the finite parameters is also evaluated using control laws obtained for a perfect gas.     

A Decision?Directed Adaptive Tracker

In the design of a tracking filter for air traffic control (ATC) applications, a maneuvering aircraft can be modelled by a linear system with random noise accelerations. A Kalman filter tracker, designed on the basis of a variance chosen according to the distribution of the potential maneuver accelerations, will maintain track during maneuvers and provide some improvement in position accuracy. However, during those portions of the flight path where the aircraft is not maneuvering, the tracking accuracy will not be as good as if no acceleration noise had been allowed in the tracking filter. In this paper, statistical decision theory is used to derive an optimal test for detecting the aircraft maneuver; a more practical suboptimal test is then deduced from the optimal test. As long as no maneuver is declared, a simpler filter, based on a constant-velocity model, is used to track the aircraft. When a maneuver is detected, the tracker is reinitialized using stored data, up-dated to the present time, and then normal tracking is resumed as new data arrives. In essence, the tracker performs on the basis of a piecewise linear model in which the breakpoints are defined on-line using the maneuver detector. Simulation results show that there is a significant improvement in tracking capability using the decision-directed adaptive tracker.     

广义轨道根数空间的轨道机动可达性

在由动量矩矢量和偏心率矢量定义的广义轨道根数度量空间内,研究了在初始轨道的任意点施加幅值固定的单脉冲后卫星的可达区域,包括脉冲施加的位置任意、方向固定和位置固定、方向任意2种情况,给出了广义轨道根数空间中轨道机动的可达性判据.通过比较脉冲作用前后的广义轨道根数,评估了单脉冲对广义轨道根数的影响,并且利用数值仿真分析了脉冲作用位置、方向与广义轨道根数空间中度量的关系.最后,在广义轨道根数空间中给出了轨道到轨道的机动策略,验证了广义轨道根数的可行性.     

交会对接任务碰撞规避策略制定研究简

针对交会对接任务目标飞行器与追踪器轨道运行特性,综合考虑规避策略计算方法与工程实际相结合的问题,提出高度规避、时间规避以及与正常轨控相结合的碰撞规避策略计算方法等三种空间目标碰撞规避策略计算方法.高度规避计算方法采用了Lambert飞行原理,用简化二体开普勒模型取代高精度轨道预报方法,迭代求解规避机动速度增量,实现了通过约束过交点与目标径向距离差得到速度增量的最优解;时间规避计算方法通过轨道周期与速度增量的关系,实现了通过约束过交点与目标的时间差得到速度增量的最优解;与正常轨控相结合的碰撞规避策略计算方法,在正常控制考虑冗余控制量的基础上,对控制策略的控制开始时间或沿迹方向的速度增量进行较小的修正,使两者通过碰撞点的时刻或径向距离错开,达到碰撞规避的目的,该方法不仅可以节省燃料、而且对任务的影响较小.通过对三种空间目标碰撞规避策略计算方法仿真分析结果表明,完全适用于交会对接任务,可为我国载人航天任务飞行安全提供技术保障.     

利用厄密特多项式的配置和非线性规划进行小推力最优变轨

提出了一种计算在反平方场中采用小推力变轨的最优轨道的直接方法,这种方法采用了近段发展起来的使用分段的多项式来代替状态和控制变量的直接优化方法,然后最优控制问题就转化成可以用数值方法解决的非线性规划问题。     

深空探测器定位在共线平动点附近的线性策略

深空探测器需要定位在日-地(月)系的共线平动点L1或L2附近执行探测任务,但由于共线平动点的不稳定性,必须在运行期间进行轨控。对于条件周期轨道(如晕轨道)必须在控制过程中考虑高次项,控制条件复杂,技术上实现相对困难。而某些探测任务,探测器定位在共线平动点附近的条件拟周期轨道(对应L issajous轨道)上亦可以。这种类型的轨道可以离共线平动点较近,那么只需要在控制过程中考虑线性项即可,控制条件简单。以圆型限制性三体问题作为基本模型,采用预估-校正法逼近线性化模型下的目标轨道,给出在轨运行期间的轨控策略亦是可取的,这种控制措施相对而言较简单,容易实现。仿真计算结果表明是可行的,能够提供较高的位置精度。     

Two-maneuver indirect contingency return from a low lunar orbit

The problem of contingency return from the low lunar orbit is studied. A novel two-maneuver indirect return strategy is proposed. By effectively using the Earth’s gravity to change the orbital plane of the transfer orbit, the second maneuver in the well-known three-maneuver return strategy can be removed, so the total delta-v is reduced. Compared with the single-maneuver direct return, our strategy has the advantage in that the re-entry epoch for the minimum delta-v cost can be advanced in time, with a minimum delta-v value similar to that of the direct return. The most obvious difference between our strategy and the traditional single- or multiple- maneuver strategies is that the complete transfer orbit is a patch between a two-body conic orbit and a three-body orbit instead of two conic orbits. Our strategy can serve as a useful option for contingency return from a low lunar orbit, especially when the delta-v constraint is stringent for a direct return and the contingency epoch is far away from the return window.     

基于微分对策的临近空间飞行器机动突防策略

针对飞行器机动突防问题,基于微分对策理论对飞行器在攻防对抗中制导阶段的机动突防策略进行设计与分析。首先将攻防对抗问题转化为二人零和博弈问题,并设计了二次型目标函数;其次,考虑到飞行器计算能力不足的问题,采取了适当假设以得到博弈问题的解析解,便于实际应用;最后对该机动突防策略进行了仿真验证,结果表明在攻防对抗中制导阶段,飞行器采用微分对策制导律,相较于正弦机动不仅减少自身54.3%的能量消耗,而且增加了拦截器58.6%的能量消耗,将显著增加飞行器末制导段对抗突防能力。     

机载单站只测向定位最优机动研究

概述了机载单站只测向定位最优机动求解算法，研究了基于最大方位角变化率准则下的观测机机动轨迹，得到理论上的最优定位机动，并结合实际运用，分析出两种近似最优的机动：“一”形（直线形）机动和S形机动，通过仿真，验证了这2种机动方式在一定条件下可以等效于最优机动，具有良好的定位效果。     

Gaussian pigeon-inspired optimization approach to orbital spacecraft formation reconfiguration

With the rapid development of space technology, orbital spacecraft formation has received great attention from international and domestic academics and industry. Compared with a single monolithic, the orbital spacecraft formation system has many advantages. This paper presents an improved pigeon-inspired optimization(PIO) algorithm for solving the optimal formation reconfiguration problems of multiple orbital spacecraft. Considering that the uniform distribution random searching system in PIO has its own weakness, a modified PIO model adopting Gaussian strategy is presented and the detailed process is also given. Comparative experiments with basic PIO and particle swarm optimization(PSO) are conducted, and the results have verified the feasibility and effectiveness of the proposed Gaussian PIO(GPIO) in solving orbital spacecraft formation reconfiguration problems.     

遗传模拟退火算法在机动逃逸策略中的应用

针对垂直平面内的机动逃逸策略问题,提出将遗传算法与模拟退火算法相结合的方法———遗传模拟退火算法,能够实现逃逸者的机动逃逸策略,解决了在大状态空间中的全局最优搜索和评价问题,为处理复杂的决策过程提供了一套有效的途径。通过仿真结果表明,基于遗传模拟退火算法的机动策略能够有效地实现逃逸者的机动逃逸。     

一种载人小行星探测目标星初选方法

针对载人小行星探测任务目标选取问题,通过对目标星选取影响因素的定量分析,提出了目标星初选方案。首先根据火箭的运载能力提出目标星轨道参数的筛选条件,然后根据地面观测和尺寸约束提出目标星绝对星等的要求,再根据结构的稳定性和温控要求提出目标星自旋周期的范围,最后按照科学价值并综合考虑其他因素建立目标星选取优化模型,得出目标星优选序列。根据提出的目标星初选方案和具体的任务需求进行载人小行星探测目标星选取,得出了目标星优选序列,证明了该方案合理、有效,为载人小行星探测提供一定的技术参考。     

大气层内模型预测静态规划拦截中制导

在临近空间机动目标拦截中,拦截器的初始动力段对中制导段乃至末端拦截性能具有重要影响。在模型预测静态规划（MPSP）理论基础上提出了一种初、中制导联合规划制导方法,旨在解决多阶段、快速、最优拦截轨迹规划和制导问题。首先,提出了一种改进的模型预测静态规划方法,该方法不仅可以满足终端约束,还可以生成最优初始状态,并在性能指标中考虑状态变量相关函数。其次,基于等效阻力模型建立了包含动力段与非动力段的两段规划模型,通过采用分段离散以及构建关机点变分关系的方法,避免了内点约束的引入,使MPSP算法可直接求解该两段规划问题。最后,结合提出的MPSP算法以及两段规划模型,实现了终端速度最优的拦截轨迹规划,结合目标预测方法,实现了对机动目标的预测拦截。仿真结果表明,本文方法可提高制导精度和终端速度,且能更好满足对机动目标的拦截需求。     

基于深度强化学习的无人机栖落机动控制策略设计

无人机栖落机动飞行是一种无需跑道的降落方法，能够提升无人机在复杂环境下执行任务的适应能力。针对具有高非线性、多约束特性的无人机栖落机动过程，提出了一种基于模仿深度强化学习的控制策略设计方法。首先，建立了固定翼无人机栖落机动的纵向非线性动力学模型，并设计了无人机栖落机动的强化学习环境。其次，针对栖落机动状态动作空间大的特点，为了提高探索效率，通过模仿专家经验的方法对系统进行预训练。然后，以模仿学习得到的权重为基础，采用近端策略优化方法学习构建无人机栖落机动的神经网络控制器。最后，通过仿真验证了上述控制策略设计方法的有效性。     

激光微推进器用于微小卫星的姿轨控仿真

为研究激光微推进器用于微小卫星在轨空间飞行任务的可行性,利用已建立的激光推进微小卫星仿真平台,对微小卫星在轨姿态调整、轨道维持和轨道转移等飞行任务进行了仿真和分析。仿真结果表明,星载激光微推进器可满足在轨微小卫星的高控制精度姿态调整、近地观测轨道维持以及较长时间要求的轨道转移等空间任务对推进系统的要求。     

Optimal motion planning for dual-spacecraft interferometry

We address the question of design and optimal control of a class of dual-spacecraft interferometric imaging formations. The first main contribution is that we combine two ideas introduced separately in the literature and propose a maneuver that offers improved imaging performance. We then formulate an optimal control problem to minimize fuel consumption and maximize image quality by minimizing the relative speed, which is proportional to the signal-to-noise ratio (SNR) of the reconstructed image. We show that the necessary conditions are also sufficient and that the resulting optimal control is unique. Finally, we apply a continuation method to solve for the unique optimal trajectory.     

Robust optimization of aircraft weapon delivery trajectory using probability collectives and meta-modeling

 Conventional trajectory optimization techniques have been challenged by their inability to handle threats with irregular shapes and the tendency to be sensitive to control variations of aircraft. Aiming to overcome these difficulties, this paper presents an alternative approach for trajectory optimization, where the problem is formulated into a parametric optimization of the maneuver variables under a tactics template framework. To reduce the size of the problem, global sensitivity analysis (GSA) is performed to identify the less-influential maneuver variables. The probability collectives (PC) algorithm, which is well-suited to discrete and discontinuous optimization, is applied to solve the trajectory optimization problem. The robustness of the trajectory is assessed through multiple sampling around the chosen values of the maneuver variables. Meta-models based on radius basis function (RBF) are created for evaluations of the means and deviations of the problem objectives and constraints. To guarantee the approximation accuracy, the meta-models are adaptively updated during optimization. The proposed approach is demonstrated on a typical airground attack mission scenario. Results reveal that the proposed approach is capable of generating robust and optimal trajectories with both accuracy and efficiency.