月面着陆动力下降段最优轨迹序列凸优化方法

针对月面着陆器动力下降制导过程中,时变惯性加速度和重力加速度难以估计与补偿等问题,提出一种基于序列凸优化的在线制导算法。在考虑月面曲率及月球自转的着陆器动力学建模基础上,首先对模型及约束条件进行凸化,得到一个二阶锥规划(SOCP)问题;然后对经典序列凸优化进行了改进,对时变加速度剖面予以实时估计和补偿,提升了现有优化算法的性能,使着陆器在尽可能节约燃料的前提下实现高精度着陆。仿真结果表明,与经典的显式制导律相比,所提出的算法在动力下降段燃料消耗更少。由多种位置偏差下的打靶分析结果可知,所提出的算法均能满足性能指标要求;即使起始位置存在±2500 m的较大波动时,仍能以高精度的速度、位置完成动力下降制导。     

Algorithms for the transport spacecraft descending stage lateral motion control

This report deals with the problems of synthesizing algorithms for controlling the attitude manoeuver of a transport spacecraft aimed at injecting the spacecraft into a closed terminal domain of “heading-range” phase coordinates which makes it possible to descend to the landing aerodrome region in accordance with a spiral trajectory tracking pattern. The descent trajectory is controlled by changing the roll angle. The principal distinguishing feature of the suggested method of transport spacecraft lateral motion control resides in guiding the spacecraft to a terminal curve and in providing an automatic transfer from roll control to interacting control of roll angle and angle of attack. The performance of the control algorithm under transient conditions are considered in detail.Algorithms controlling the longitudinal range by varing the magnitude of the roll angle and lateral range by selecting the respective sign of the roll control angle are thereafter synthesized separately. The major problem in designing the angular motion control system of transport spacecraft is the development of a high-rate roll axis turn control algorithm. To ensure high accuracy of lateral manoeuvering of the spacecraft it is expedient to accomplish the spacecraft reorientation in roll in a minimum time. It is therewith necessary to take into account with the sideslip angle limitation associated with the need of complying the design conditions of the spacecraft flowaround and with the spacecraft skin selected temperature conditions. It is expected that the total side slip angle is acceptable for measurement. Within the greater portion of the descent trajectory constant-thrust jet-reaction control engines are employed as actuators. Therefore, together with the high speed of response developed control algorithm provides an adequate efficiency of the system from the viewpoint of fuel consumption. The possibilities offered by the suggested algorithms controlling the lateral motions of the center of masses and around the center of masses during the descent stage and in the course of landing approach manoeuvering are illustrated by an example considering a hypothetical transport spacecraft featuring variable aerodynamics and a low frequency of natural oscillations of the angular motion loop. The suggested algorithms make it possible to fully employ the transport spacecraft maneuverability and to meet the terminal heading and velocity requirements within a wide class of disturbances.     

连续推力机动轨道优化设计的贝塞尔曲线法

提出一种基于贝塞尔曲线的平面机动轨道设计方法。该方法将贝塞尔曲线方程与轨道形状方程相结合，利用得到的复合函数作为轨道方程来对机动轨道进行数学描述；通过约束条件获得可行的机动轨道族，由控制点设计给出具体的优化变量，将累积速度增量作为优化指标函数；并利用优化算法完成参数优化，从而得到最优机动轨道。最后针对设计的机动轨道推力峰值较大的问题，进一步提出了分段贝塞尔曲线法，在降低推力峰值的同时，可进一步降低燃料消耗，并在平面机动转移轨道设计的基础上，通过梯度下降对自由控制点进行修正，解决了考虑时间约束的平面轨道交会问题。     

月球探测器动力下降段最优轨迹参数化方法

为保证月球探测器进入姿态调整段时具有充分的高度与速度余量,本文提出一种基于控制变量参数化的月球探测器动力下降段最优轨迹求解方法。在三维探测器软着陆动力学模型基础上,将月球探测器软着陆制导律设计等效为燃料最优约束下的探测器俯仰角控制问题,利用控制变量参数化(Control Variables Parameterization, CVP)方法将该控制问题中的控制变量与约束条件转化为非线性规划问题求解,并引入时间尺度变换,将着陆时间序列加入待规划参数,进而求得满足精度的最优数值解。蒙特卡罗仿真实验表明,与传统的显式制导律相比,本文提出的参数化制导方法在动力下降段燃料更省,动力下降段的起始高度在±20%范围内波动时,仍能以高精度速度和高度指标完成末制导。     

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。     

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。     

航天器柔性太阳翼最优PPF主动振动抑制方法

针对采用可变速控制力矩陀螺(VSCMG)进行柔性太阳翼振动抑制问题,提出一种基于求解非光滑 H∞ 综合问题的最优参数正位置反馈(PPF)控制方法。首先,建立考虑VSCMG和柔性太阳翼耦合的振动模型,得到了线性化的约束陀螺柔性板动力学模型,基于同位控制思想推导了以角度陀螺为测量装置的约束陀螺柔性板全阶状态空间模型。针对被控对象特性,确定最优PPF控制器的结构构型和待优化参数。进而,通过对约束陀螺柔性板全阶状态空间模型进行降阶、修正和加权处理,将PPF控制器参数优化问题转化为在PPF控制器构型约束条件下的非光滑H∞综合问题,并应用一阶下降算法进行寻优求解,实现最优PPF控制器的设计。该方法能够实现对各阶陀螺模态的独立控制,在保证快速性和鲁棒性的前提下,实现最优PPF参数的稳定高效求解。仿真结果表明,所提出的最优PPF控制方法能够快速、鲁棒地实现航天器柔性太阳翼的主动振动抑制。     

Trajectory Control for a Spacecraft with an Inflatable Braking Device in the Martian Atmosphere

The possibility of using an inflatable braking device for controlled descent in the Martian atmosphere of large-capacity cargoes is analyzed. The most complicated version of the trajectory control problem is considered, namely, the injection of a spacecraft at hyperbolic velocity into a parking orbit after braking in the atmosphere.     

行星着陆探测中的动力学与控制研究进展

着陆探测是获取行星特性和科学数据最直接、最有效的途径,也是目前技术难度最大、最为复杂的探测方式。在行星着陆探测过程中,动力学与控制是影响任务成败的关键因素之一。文章首先分析了行星着陆探测动力学与控制研究所面临的挑战与难题;然后,针对火星和小行星的着陆探测,重点分析了火星着陆进入段和下降段所涉及的动力学与控制,小行星附着探测动力学建模与制导控制的研究现状与关键问题;最后,提出了我国在行星着陆探测动力学与控制领域的未来重点发展方向。     

Analysis of predictive entry guidance for a Mars lander under high model uncertainties

The problem of precision landing on Mars is now considered to be an essential challenge in the planned Mars missions. The paper focused on the guided atmospheric entry as a predominant phase in achieving a desired target state, as compared with the following parachute and powered descent. The predictive algorithms for the longitudinal guidance of a low-lift entry vehicle are treated. The purpose is to investigate applicability of the predictive strategy under possible high discrepancies between the on-board dynamic model and real environment while in entry trajectory. The comparative performance analysis based on computer simulation has been made between the standard one-parametric “shooting” predictive algorithm and a more complex two-parametric algorithm providing lower final velocity and, thus, expanding the interval of admissible downrange. However, both algorithms display considerable degradation of downrange accuracy in the cases when the actual drag force is larger than the modelled one. An acceptable solution has been found by including to both predictive guidance schemes an identification algorithm that repeatedly adapts the on-board model to varied environment in real time scale.     

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。     

基于在线轨迹优化的运载火箭可重构制导方法（英文）

In order to improve the safety and reliability of a launch vehicle, we present a reconfigurable guidance method based on online trajectory optimization for thrust decrease at the ascending stage of the launch vehicle in this paper. We used a multiple shooting method to convert the optimal control problem into a nonlinear programming(NLP) problem. Finally, we used the interior point method to solve the NLP problem. The simulation results show that the method can effectively adapt to thrust decreases by 5% and 10%. This reconfigurable guidance method based on online planning is proposed to realize launch missions under the condition of power descent, thus verifying the feasibility of the method.     

A near-optimal control approach to 3D ball-in-socket joint space robot models with initial angular momenta

Control of space robots in the 3D space is known as one of the difficult problems in nonlinear control theory, and if there exist initial angular momenta for space robots, the control problem becomes an increasing challenge. However, it is quite important to take into account the existence of initial angular momenta from the aspect of realistic situations. This paper deals with a control problem for a 3D space robot of two rigid bodies with an initial angular momentum. First, we give a model of a space robot with an initial angular momentum, called the ball-in-socket joint model. We next propose a near-optimal control method for general nonlinear affine control systems based on the finite dimensional orthonormal basis and give some theoretical analysis for the method. Moreover, a near-optimal control algorithm is also shown. Then, we apply the near-optimal control algorithm to a 3D attitude control problem of the ball-in-socket joint model with an initial angular momentum, and illustrate numerical simulations in order to show the effectiveness of our method.     

吸气式高超声速飞行器纵向机动飞行的鲁棒线性变参数控制

针对一个吸气式高超声速飞行器模型,研究了其鲁棒变增益控制问题。为处理对建模误     

分布式卫星编队飞行队形保持协同控制

针对分布式卫星编队飞行队形保持控制问题提出一种分布式协同控制算法,并给出该协同控制算法与编队卫星星间信息传递拓扑结构之间的关系。该协同控制算法以模型预测控制为基础,利用分布式编队卫星的自然特性以及编队卫星之间的信息传递拓扑结构,采用分布式的算法结构,设计分布式的模型预测协同控制算法。该控制算法是一种在线滚动优化控制算法,同时能够较好地解决存在状态约束、控制输入约束等情形下的各种控制问题。最后通过数值仿真验证了结果的有效性。仿真结果表明,当编队卫星星间信息传递拓扑结构中存在生成树时,提出的分布式协同控制算法能够有效地应用到编队卫星队形保持控制问题上来。     

空间绳系机器人姿态容错控制方法研究

在精确姿态控制阶段,由于反作用轮的故障,空间绳系机器人会出现姿态控制失稳的问题,为此,提出了一种空间绳系机器人姿态容错控制的新方法。该容错控制方法利用时间延迟控制算法,将前一个周期的控制量引入到当前控制律中,估计并补偿由于反作用轮故障引起的当前控制量变化。在推导该容错控制方法的基础上证明了它的稳定性,从反作用轮无故障和有故障两个方面,对利用时间延迟控制算法与利用PD控制算法的控制律进行了仿真比较。仿真结果表明,利用时间延迟控制方法跟踪目标姿态精度高、鲁棒性强;将时间延迟控制方法用于调整反作用轮故障状态下空间绳系机器人姿态具有较强的稳定性。     

磁悬浮控制力矩陀螺动框架效应的FXLMS自适应精确补偿控制方法仿真研究

在磁悬浮控制力矩陀螺（CMG）中，框架运动对磁悬浮转子支承系统的扰动可以采用角速率前馈加以补偿，但前馈系数固定时的补偿精度受磁轴承系统模型误差影响而显著下降。为了提高补偿精度，本文针对MIMO磁悬浮转子系统，提出一种基于FXLMS（filtered-X least mean square）算法的自适应前馈方法，采用梯度估计和最速下降策略推导前馈权值更新算法，并根据算法收敛性和收敛速度设计收敛因子和权初值。仿真结果表明，该方法收敛速度快，抗噪声能力强，相同模型误差情况下使转子的动框架位移降低到固定特性前馈时的20％，大幅度提高了动框架前馈补偿精度，有利于进一步提高磁悬浮CMG的力矩输出精度。     

Quasioptimal control with feedback for multiorbit low-thrust transfer between noncoplanar elliptic and circular orbits

The problem of synthesizing stable feedback control is considered based on solving the problem of time minimization for a multiorbit transfer between noncoplanar elliptic and circular orbits in a Newtonian gravitational field. The problem is solved using asymptotic properties and symmetries of optimal control in the unperturbed problem. Stability of the obtained control against external perturbations, deviations of initial conditions, and errors in thrust vector realizations is demonstrated. The obtained quasioptimal control with feedback can be used as an onboard algorithm of spacecraft control and when performing design and ballistic analysis.     

利用姿态机动的绳系卫星编队系统轨道协同控制

为克服绳系卫星编队系统在轨道机动过程中的系绳摆动现象，提出一种通过调整领航星推力方向进而实现编队系统轨道跟踪的控制算法。由于推力方向角与状态量互相耦合且少于系统自由度个数，轨道协同控制属于典型的非仿射欠驱动控制问题。针对此问题，首先采用升阶法将角速度作为虚拟控制输入；然后为各子系统设计子滑模面后加权得到高层滑模面和等效控制输入律，并设计观测器估计系统非线性项；其次基于模型预测控制算法优化得到最高层滑模面的趋近控制律；最后采用MATLAB/Simulink验证了所提控制算法的有效性。     

定时定点月面着陆全程轨道控制设计

针对定时定点月面着陆的目标要求,提出了全程轨道控制设计方法。进行了包括地月转移、近月制动、环月降轨和动力下降的全程轨道控制的分段设计和联合规划,实现在入轨轨道偏差条件下的定时定点月面着陆。分别构建了中途修正、近月制动、环月降轨三段轨道控制的规划变量和目标参数;根据轨道倾角建立了动力下降点与着陆点的匹配转换关系。设计了中途修正、近月制动、环月降轨、动力下降的全程轨道控制策略的联合规划。建立了着陆位置偏差与轨道倾角偏差、着陆时间偏差与轨道半长轴偏差的修正关系,修正设计了中途修正目标倾角和近月制动目标半长轴。仿真算例表明,在入轨偏差轨道条件下,保证了中途修正后的飞行轨道与标称轨道基本一致,实现了与标称状态基本一致的定时定点月面着陆。可应用于月球着陆、月球采样返回以及载人登月等实施月面定时定点着陆任务的轨道设计和控制实施。