Guidance of a spacecraft with low lift-to-drag ratio to a landing point

The problem of terminal control over a deorbiting spacecraft at the stage of its flight after leaving plasma (altitude of ∼40 km) is considered, the aim being to guide it to a preset landing point. The algorithm is based on a modification of the well-known method of proportional navigation, when a fixed point is the target. It is suggested to use satellite navigation systems (of the GLONASS or GPS types) and/or radio beacons, which should allow one to determine the spacecraft trajectory parameters with high precision. Single-channel control is performed by changing the roll angle according to current parameters of the trajectory, which ensures adaptability of the method. Examples of three-dimensional trajectories of flight are presented for a manned spacecraft with low lift-to-drag ratio (∼0.5), currently under design in Russia. The results of statistical modeling taking into account initial deviations of the trajectory parameters and wind disturbances are presented. A method of statistical choice of a reference trajectory for the guidance stage is suggested. A theoretical possibility of using the algorithm of spacecraft guidance (in case of in-light accident with a carrier launcher) to preset regions in the vicinity of launching route is demonstrated. A qualitative analysis of proportional navigation with a fixed target is presented.     

An Effective Algorithm of Aerodynamic Control over Spacecraft Descent

An algorithm of aerodynamic control is suggested for the descent of a spacecraft with a small lift-to-drag ratio into a predetermined region of space. The algorithm provides for an oriented descent with accepted accuracy for a subsequent operation of the landing control system. It needs less computing in comparison with traditional algorithms due to reduction of the initial nonlinear boundary value problem to the Cauchy problem.     

末端能量管理段迭代校正轨道算法研究

针对航天器进入末端能量管理段接口处时位置和航迹偏角存在大范围摄动的问题，提出一种使用迭代校正法的轨道快速生成算法。该算法可以根据航天器的具体初始状态，自动选择直接进场或者间接进场策略，快速生成可行的参考轨迹。首先通过跟踪轨迹地面投影实现侧向制导；根据末端能量管理段的起始点与终点的高度与速度约束生成参考动压-高度剖面，并跟踪此剖面实现纵向制导。然后采用迭代校正计算快速确定航向校准柱的位置与最终半径两个参数用以调整航程，保证航天器在末端的所有状态满足自动着陆段接口的边界约束。仿真结果校验了该算法可以根据航天器的具体状态快速生成符合约束条件的末端能量管理段飞行轨道，具有很好的鲁棒控制性能。     

Informational approaches to angular motion control of spacecraft

Any information concepts may be used for motion control with respect to the center of masses of a reusable transport spacecraft (RTS). Using comparative analysis of the two concepts (the first one, based upon information about attitude parameters with respect to the inertial reference system and the second one, based upon parameters of angular motion with respect to wind-body coordinate system) for specific features of RTS dynamics and control at the stages of orbital flight, atmospheric flight under gas dynamic and aerodynamic control, and landing, paper demonstrates that information on angles of attack, slip and speed roll should be used for angular motion control at this stage of flight.     

着陆小天体的自主GNC技术

由于目标小天体和地面站之间存在较长的通讯延迟，加之小天体的动力学环境复杂多变，传统的基于深空网的导航、制导与控制（GNC）模式已不再适合探测着器着陆小天体。为了实现安全着陆小天体，探测器必须具有自主导航、制导和控制的能力。本文提出了一种着陆小天体极区的自主GNC方案：首先，基于对自然特征点的自动提取、跟踪，给出了一种着陆小天体的自主光学导航方案；接着，为了安全垂直着陆小天体的极区，设计了比例-微分控制器跟踪理想的下降轨迹、消除侧向位置和速度偏差；最后，通过数值仿真对本文所提方案的可行性进行了验证。     

Analysis of the Accuracy of Ballistic Descent from a Circular Circumterrestrial Orbit

The problem of the transportation of the results of experiments and observations to Earth every so often appears in space research. Its simplest and low-cost solution is the employment of a small ballistic reentry spacecraft. Such a spacecraft has no system of control of the descent trajectory in the atmosphere. This can result in a large spread of landing points, which make it difficult to search for the spacecraft and very often a safe landing. In this work, a choice of a compromise scheme of the flight is considered, which includes the optimum braking maneuver, adequate conditions of the entry into the atmosphere with limited heating and overload, and also the possibility of landing within the limits of a circle with a radius of 12.5 km. The following disturbing factors were taken into account in the analysis of the accuracy of landing: the errors of the braking impulse execution, the variations of the atmosphere density and the wind, the error of the specification of the ballistic coefficient of the reentry spacecraft, and a displacement of its center of mass from the symmetry axis. It is demonstrated that the optimum maneuver assures the maximum absolute value of the reentry angle and the insensitivity of the trajectory of descent with respect to small errors of orientation of the braking engine in the plane of the orbit. It is also demonstrated that the possible error of the landing point due to the error of specification of the ballistic coefficient does not depend (in the linear approximation) upon its value and depends only upon the reentry angle and the accuracy of specification of this coefficient. A guided parachute with an aerodynamic efficiency of about two should be used at the last leg of the reentry trajectory. This will allow one to land in a prescribed range and to produce adequate conditions for the interception of the reentry spacecraft by a helicopter in order to prevent a rough landing.     

A robust guidance algorithm for the moon landing

The paper deals with a choice of the rational trajectory of motion of a landing module designed for the Moon landing, from the moment of its de-orbiting from the near-lunar orbit up to landing. An integrated conceptual basis is used to develop multistep terminal algorithms for guidance for the three segments of the descent.     

欠驱动刚性航天器可行轨迹生成算法研究

研究了仅有两个独立控制力矩的轴对称欠驱动刚性航天器的可行轨迹生成问题。首先,由系统模型推导出轴对称欠驱动航天器可行轨迹必须满足的状态约束条件;其次,基于轴对称欠驱动航天器的微分平滑特性,提出了一种可行轨迹生成算法。该算法针对欧拉角姿态描述的系统模型,不仅能够有效地简化系统平滑变换中的奇异点避让问题,而且即使是在大角度机动的情况下,仍然能够保证轴对称欠驱动航天器的姿态角速度和相应的控制输入力矩始终保持在合理的范围内。仿真结果表明,该算法计算量小、计算速度快,这使得欠驱动航天器后续的轨迹规划和轨迹跟踪等算法的在线实际应用成为可能。     

火箭返回制导动力着陆段的自适应启动方法

针对重复使用火箭垂直返回着陆问题,提出了一种燃料最优的动力着陆段自适应启动方法。首先,将燃料最优启动点对应的动力着陆轨迹的推力剖面和攻角剖面描述为解析的形式,该解析形式中攻角剖面由状态量唯一确定,推力剖面仅含一个待定参数。随后,通过预测具有上述解析剖面形式的轨迹判断是否启动动力着陆。计算中引入松弛终端位置约束的策略求解推力剖面待定参数,由终端位置约束判断是否满足燃料最优启动条件。上述策略将燃料最优启动条件的判断问题简化为单一变量求解问题,实现了该问题的快速求解。仿真结果表明,该方法得到的启动点与数值优化方法得到的燃料最优启动点接近,且求解过程稳定、计算效率高。     

小天体软着陆自主光学导航与制导方法研究

针对小天体软着陆任务自主性、实时性的需求,对软着陆小天体自主导航与制导问题 进行了研究。提出了一种利用激光测距仪和光学导航相机跟踪目标着陆点的自主导航方案, 利用测距矢量以及目标点之间的几何关系,确定着陆平面法向方向和目标点位置。分析期望 的探测器下降轨迹特点,给出了一种基于制导变量的脉冲控制制导律,通过对目标点视线与 着陆平面法向矢量之间夹角的控制,将软着陆小天体控制分解为切向控制与法向控制两部分 。最后,通过数学仿真对自主导航制导系统的性能进行了验证,结果表明该方法能够满足垂 直软着陆的任务需要,实现高精度软着陆。     

Optimal control of reorientation of a spacecraft using free trajectory method

The problem of optimal control over spatial reorientation of a spacecraft is considered. The functional having a sense of propellant consumption is minimized. The analytical solution to the formulated problem is presented. It is shown that the optimal solution can be found in the class of two-impulse control at which the spacecraft’s turn is performed along a free motion trajectory. In order to improve the accuracy of spacecraft guidance into a specified angular position, methods of control are suggested that realize the method of free trajectories. The synthesized controls are invariant with respect to both external perturbations and parametric errors. The results of mathematical modeling are presented that demonstrate high efficiency of developed control algorithms. Propellant consumption for realizing a programmed turn is numerically estimated taking into account considerable gravitational and aerodynamic moments acting upon the spacecraft.     

全太阳系深空探测轨迹全局优化(英文)

针对太阳系中全部的248997颗行星的探测问题,给出了一种关于探测飞行器的深空探测全局四维轨迹(t,x,y,z)优化方案,即飞行器从地球发射进入太阳系并采用小推力控制,优化方案的性能指标为飞行器与太阳系中全部行星中相遇和交会的星的数量最多并且燃料消耗最少。本方案给出了四维飞行轨迹进行全局优化的一套算法,该算法由搜索算法和四维轨迹优化算法组成。此搜索算法从太阳系的248997颗行星中寻找获得尽可能多的经过近地球3维走廊内的行星;而四维轨迹优化算法由改进的动态规划算法、基于最优控制理论的共轭梯度算法和静态参数优化算法组成,其中静态参数优化算法用于搜索最优发射时间窗口。基于该组合算法,通过长时间的大规模的飞行数字仿真,最终计算出探测器的四维最优飞行轨迹,在一年内路过了太阳系中全部行星中的12颗行星。     

自适应预测补偿的迭代制导方法及其应用研究

针对迭代制导完成后入轨参数或终端程序角修正问题,研究一种基于模型参考的自适应预测补偿迭代制导算法在运载火箭上的应用。该算法在经典迭代制导算法的基础上,根据预测的迭代终端程序角和飞行视加速度的参考模型,对关机点参数进行补偿,依据补偿后的终端指标重新规划飞行轨迹,进而得出满足入轨参数或终端程序角偏差修正的制导指令,提升迭代制导对入轨参数偏差或终端程序角的修正能力。此外,阐述了经典迭代制导的基本算法,概括了自适应预测补偿迭代制导算法的基本原理,并以大推力直接入轨、终端程序角大偏差以及满足终端程序角约束为例,给出相应工况的自适应预测补偿的迭代制导算法。仿真结果表明：该算法对入轨参数和终端程序角偏差具有一定的修正能力。     

一种燃料最省的火星精确着陆动力下降段快速轨迹优化方法

针对火星精确着陆问题,给出一种燃料最省的火星着陆动力下降段快速轨迹优化方法。首先以燃料最省为指标建立了着陆器动力下降段轨迹优化问题模型,然后利用极大值原理对该模型的推力大小、推力方向与协状态变量之间的关系进行分析,得出着陆器推力只能以最大或最小推力工作、推力方向和与速度对应的协状态矢量方向相同的结论。并以此为基础,将原问题的状态微分方程和协状态微分方程转换为有限个推力为常值的分段函数,推导每段内微分方程的解析表达式,给出了动力下降段轨迹优化方法的算法流程;最后通过数学仿真将所提出的方法与凸规划、多项式制导方法进行比较。结果表明该方法不仅避免了多项式方法没有考虑推力约束及燃料消耗的缺陷,而且在计算效率方面较凸规划方法有大幅度提高。     

Ballistics, navigation, and motion control for a spacecraft during its landing on the surface of Phobos

Basic concepts and algorithms laid as foundations of the scheme of landing on the Martian moon Phobos (developed for the Phobos-Grunt project) are presented. The conditions ensuring the landing are discussed. Algorithms of onboard navigation and control are described. The equations of spacecraft motion with respect to Phobos are considered, as well as their use for correction of the spacecraft motion. The algorithm of estimation of the spacecraft’s state vector using measurements with a laser altimeter and Doppler meter of velocity and distance is presented. A system for modeling the landing with a firmware complex including a prototype of the onboard computer is described.     

Optimal Control of a Spatial Turn of a Spacecraft with Minimal Loading of Construction

The problem of optimal control of a three-dimensional turn of a spacecraft is considered and solved. The turn is performed from an initial angular position into the required final angular position in a specified time and with a minimum value of the functional that represents the degree of loading of the construction. An analytical solution to the formulated problem is presented. It is demonstrated that the optimal (in this sense) control of the spacecraft reorientation can be determined in the class of a regular precession executed by the spacecraft. The instant when braking begins is determined based on the principles of terminal control using the actual kinematical parameters of the spacecraft motion, which substantially increases the accuracy of transferring the spacecraft to a specified position. Data of mathematical modeling are also presented that confirm the efficiency of the described method of controlling the spacecraft's three-dimensional turn.     

惯导融合特征匹配的小天体着陆导航算法

针对探测器着陆小天体的过程提出了一种基于特征匹配结合惯导信息的探测器自主着陆导     

载人飞船全系数自适应再入升力控制

本文从控制角度分析载人飞船再入升力控制的特点，将全系数自适应控制方法应用于载人飞船的升力控制研究中，并就落点精度、最大过载、燃料消耗、姿态平稳性等几方面，同制导理论中经典的标准弹道升力控制、落点预报算法中的ＰＩＤ算法进行了仿真比较，证明了本文方法的优越性。     

考虑输入饱和的多航天器系统姿轨耦合分布式协同跟踪控制

基于一致性理论,研究了多航天器系统相对轨道及姿态耦合的分布式协同控制问题。在仅有部分跟随航天器可获取领航航天器信息的情形下,针对各跟随航天器存在未建模动态以及外部环境干扰等问题,利用双曲正切函数的性质,提出了考虑输入饱和的分布式自适应协同控制律。首先,对于领航航天器具有时变状态的情形,为每个跟随航天器设计了3个滑模估计器,对领航航天器的状态进行估计。其次,针对跟随航天器间相对速度和角速度难以测量的问题,设计仅需领航航天器状态的切比雪夫神经网络自适应更新律。最后,设计考虑输入饱和的分布式自适应协同控制律保证各跟随航天器跟踪动态领航航天器。仿真结果表明了该算法的有效性、可行性。