多自主翼伞系统建模及其集结控制

当前对翼伞系统的研究主要集中在单个翼伞,但实际空投中一般需要使用多个翼伞,才能完成大量物资、装备的空投补给任务,而多个翼伞同时空投时,将会出现翼伞需要集结、相互间需要避免碰撞等在单翼伞空投时不存在的问题。现有的单翼伞系统已能通过GPS/惯导系统及其他板载传感器实现自主飞行,针对多个自主翼伞的空投任务设计算法,以控制下降翼伞之间的相互运动,实现多翼伞系统的集结和避碰。首先以质点模型为起点,通过引入新的独立变量,并将翼伞运动转换至风固定坐标系,使得单个翼伞质点模型降维为非线性降阶模型,进而得到多自主翼伞模型,在此基础上提出了一种集结控制算法,利用每个翼伞自身的状态信息和相邻翼伞的状态信息,采用势场法使得多翼伞实现集结并避免碰撞,最后一致地降落至地面。仿真结果表明多个自主翼伞实现了集结,减小了翼伞的着陆散布,降低了翼伞之间的碰撞风险,验证了该方法的有效性,可以为进一步研究多自主翼伞协同控制提供理论参考。     

无人机空中加油自主会合的制导与控制

针对无人机空中加油的自主会合问题,进行了相应制导律和非线性控制器的设计。通过改进的带角度约束的三维比例制导律实现对航向角的控制,以协调转弯的方式将航迹角指令转化为姿态角指令。基于无人机六自由度的动力学模型,针对无人机的姿态控制,采用时标分离的方法设计了慢子系统和快子系统,并对这两个子系统分别进行动态逆控制设计。同时,基于滑模控制的方法设计了满足自主会合要求的速度控制律。在保证无人机飞行稳定的基础上,实现了对控制和制导指令的精确跟踪。仿真结果表明,所设计的制导律和控制律能够实现无人机空中加油的自主会合,具有良好的动态特性。     

Survey of orbital dynamics and control of space rendezvous

Rendezvous orbital dynamics and control （RODC） is a key technology for operating space rendezvous and docking missions. This paper surveys the studies on RODC. Firstly, the basic relative dynamics equation set is introduced and its improved versions are evaluated. Secondly, studies on rendezvous trajectory optimization are commented from three aspects： the linear rendez- vous, the nonlinear two-body rendezvous, and the perturbed and constrained rendezvous. Thirdly, studies on relative navigation are briefly reviewed, and then close-range control methods including automated control, manual control, and telecontrol are analyzed. Fourthly, advances in rendezvous trajectory safety and robust analysis are surveyed, and their applications in trajectory optimization are discussed. Finally, conclusions are drawn and prospects of studies on RODC are presented.     

Investigation into Pilot Handling Qualities in Teleoperation Rendezvous and Docking with Time Delay

Teleoperation rendezvous and docking can be used as a backup for autonomous rendezvous and docking(RVD) for an unmanned spacecraft when the autonomous system is failure or for guiding the chaser docking with an uncooperative target.The theoretical model for analyzing the handling qualities in teleoperation RVD process is established based on the previous studies conducted by National Aeronautics and Space Administration(NASA).The predictive factor is introduced to describe the pilot’s predictive ability in the teleoperation tasks with time delay,which interrelates with the skills of a pilot and the predictive assist approach used in the tasks such as the predictive display method.Based on the semi-physical simulation system in our laboratory,900 experiments at two levels of time delay are carried out by 18 volunteers for validating the established model.The experimental results demonstrate the correctness of the theoretical model and indicate that a skilled pilot has a predictive ability of approximately 0.9 in teleoperation RVD tasks.The theoretical analysis shows that the handling qualities are greatly affected by the time delay and the predictive factor,and it is impossible to achieve a teleoperation RVD task for the skilled pilot when the time delay is larger than 9.0 s.     

航天器交会对接模拟系统逼近过程自抗扰控制

航天器交会对接地面模拟系统用于研究航天器交会对接过程的动力学、导航与控制等方面的相关问题。模拟器通过气浮轴承悬浮在大理石平台上来模拟太空的无摩擦微重力环境。通常情况下要保证大理石平台足够水平,由于实际平台不可能完全水平,模拟器的重力分量会使模拟器产生下滑现象,这种现象对大型地面模拟器设备尤为严重。针对模拟器的逼近过程设计了轨迹规划。为了减小测量信号噪声的影响,采用跟踪微分器(TD)对整个逼近过程中的测量信号进行滤波。针对逼近过程中模拟器存在下滑力等干扰问题设计控制器,通过扩张状态观测器(ESO)实时估计干扰量,进而对干扰量进行补偿。对模拟器冷喷气推力系统制定了推力器分配策略,采用脉冲宽度调制(PWM)技术实现对推力的近似等效。提出的控制方法应用于航天器交会对接地面模拟系统,实验结果表明所提出的控制方法能有效消除下滑力等干扰的影响。     

非合作目标交会的双层MPC全局轨迹规划控制

针对空间非合作目标近距离视线交会中的全局最优鲁棒轨迹规划与控制问题,提出了基于高斯伪谱方法（GPM）和线性时变模型预测控制（LTVMPC）的双层模型预测控制（MPC）算法。在轨迹规划方面,以视线坐标系下的相对轨道动力学为模型、能量最少和控制精度最优为性能指标构建最优控制问题,利用GPM精度高、收敛速度快的特点将最优控制问题转化为易于求解的全局非线性规划问题,在MPC框架下求解得到全局最优的标称轨迹,克服了传统的MPC不适用于全局大范围非线性规划的缺点;在轨迹跟踪控制方面,考虑预测时域内状态转移矩阵的时变特性,设计了LTVMPC算法对标称轨迹进行追踪,避免了存在不确定性时轨迹的重规划,从而降低在线计算量,保证算法在线自主实施,并且采用滚动优化的策略使算法对不确定性具有鲁棒性。由于规划层和控制层考虑的约束相同,因此规划的轨迹是可控、可达的。数字仿真表明,在燃料消耗和交会时间等方面,提出的方法均显著优于传统的MPC方法,相较于传统的MPC方法,新算法的交会时间减少50%左右,燃料消耗降低30%以上。     

Optimal robust linearized impulsive rendezvous

The optimization of time-fixed linearized impulsive rendezvous with control uncertainty is investigated. One performance index related to the variances of the terminal state error is defined as the performance index of robustness which is calculated by linear covariance method. The two-objective optimization problem of minimizing the total characteristic velocity and the performance index of robustness is formulated based on the Clohessy–Wiltshire (C-W) system and solved by the nondominated sorting genetic algorithm. The Pareto-optimal solution sets of one homing rendezvous mission are provided and the Pareto optimality is verified by comparing with the fuel-optimal and the robustness-optimal solutions. It is shown that the proposed approach can quickly investigate the relation between the fuel cost and the trajectory robustness, besides evaluate different rendezvous maneuver schemes.     

路径约束的时间最短多脉冲交会全局优化

不同于现有的多脉冲最优交会研究多集中于交会时间固定的最省燃料优化,研究了路径约束和脉冲受限的多脉冲最短时间交会问题。综合考虑了交会测量视场角、脉冲总量和脉冲作用时刻等约束,基于Lam-bert交会算法,建立了多脉冲交会最短时间优化的非线性规划模型。为了高效获得全局最优解,采用了模拟退火算法用于非线性优化问题的求解。最后,通过解决一个寻的三脉冲交会问题验证了模型和算法的有效性。该研究方法可寻找满足特定约束条件的最优交会轨道。     

Spacecraft optimal rendezvous controller design using simulated annealing

A new global approach for rendezvous Linear Quadratic controller design is presented in this paper. Instead of solving the algebraic Riccati equation, a continuous simulated annealing (SA) algorithm is used to design rendezvous LQ controller. Optimization of one automatic rendezvous controller with 18 design parameters is illustrated. The results show that the SA algorithm can locate the global solution effectively and robust, besides a great number of global solutions have been obtained by the SA. The SA has demonstrated better performance than other optimization algorithms such as floating-coded Genetic Algorithm, Simplex method and Powell algorithm.     

基于混合粒子群算法的上升段交会弹道快速优化设计

基于梯度搜索的高效性和粒子群搜索的随机性,提出了一种混合粒子群算法,并应用该算法研究了运载火箭上升段交会弹道快速优化设计问题.以运载火箭与目标飞行器在交会时刻的距离最小为目标函数,设计了运载火箭飞行程序,建立了运载火箭上升段交会弹道优化模型,同时分别采用混合粒子群算法、遗传算法和粒子群算法进行求解.仿真结果表明:基于本文算法对运载火箭上升段交会弹道进行优化设计,平均交会位置误差为4.137m,较遗传算法减少了17.940m,平均优化耗时488.922s,较粒子群算法缩短了2342.125s.混合粒子群算法搜索速度较快,收敛精度较高,可用于运载火箭上升段交会弹道的快速优化设计.      

Robust reliable control for autonomous spacecraft rendezvous with limited-thrust

This paper investigates the problem of robust reliable control for the spacecraft rendezvous with limited-thrust. Based on the Clohessy–Wiltshire (C–W) equations and by considering the uncertainties and the possible failures, the dynamic model for spacecraft rendezvous is proposed, and the orbital transfer control problem is transformed into a stabilization problem. Then, by a Lyapunov approach, the existence conditions for admissible controllers are formulated in the form of linear matrix inequalities (LMIs), and the controller design is cast into a convex feasibility problem subject to LMI constraints. With the obtained controllers, the rendezvous can be accomplished with the limited-thrust in spite of the possible thruster failures. The effectiveness of the proposed approach is illustrated by simulation examples.     

球形重力场下的视线动力学方程

以交会对接问题为背景,建立了球形重力场下的视线动力学方程,其简化形式可以描述平面重力场下的相对运动。该方程直接描述了视线参数和机动策略之间的关系,可广泛应用于相对运动问题的机动策略研究。     

Orbital rendezvous using two-step sliding mode control

The problem of spacecraft rendezvous is studied, using sliding mode control in the presence of the earth's gravitational perturbation. The impulsive solution of Lambert's problem is obtained using the combined equations method to minimize total ΔV via an iterative method, and it is used as the desired trajectory for the rendezvous. In this paper, a two-step sliding mode control method is introduced for solving the rendezvous problem with finite-thrust including unmodeled dynamics.The thrust-coast-thrust type control laws for the system to follow the desired trajectories are represented and resultant trajectories are close enough to the Lambert's orbit with comparable amount of ΔV to the Lambert's impulsive solution. All state variables matched the final boundary conditions reasonably well at the end of maneuver.     

Optimization of multiple-impulse minimum-time rendezvous with impulse constraints using a hybrid genetic algorithm

The minimum-time multiple-impulse rendezvous with impulse constraints is investigated in this paper. Based on the Clohessy–Wiltshire (C–W) equations, an optimization model including several different kinds of impulse constraints such as the maximum impulse magnitude, the total velocity change magnitude and the time of imposing impulse for multiple-impulse minimum-time rendezvous is established. A generalized inverse matrix solution for linear equation is applied to avoid handling the terminal equality constraints. In order to obtain the global solution efficiently, a hybrid optimizer combining the advantages of a floating-coded genetic algorithm and simplex method is employed. A low-earth orbit multiple-impulse rendezvous problem is used as an example. The influence of the number of impulses, the optimization variables and the constraints on the solution is analyzed, and the different optimization algorithms are compared. Results indicate our proposed model and approach is effective in designing linearized minimum-time rendezvous trajectory with impulse constraints.     

Accurate and autonomous navigation for the ATV

The Automated Transfer Vehicle (ATV) is a European spacecraft intended to service the International Space Station (ISS). It is designed to perform automated phasing, approach, rendezvous and docking to the ISS, then departure and deorbitation manoeuvres. Such an automated rendezvous mission towards a manned facility raises severe performance and safety constraints for the vehicle, which are declined towards the on-board Navigation in terms of availability, accuracy and failure tolerance: the ATV shall be operational after any first failure and safe conditions shall be reached after a second failure. The whole ATV navigation system has been designed to fulfil these very stringent requirements. Based on fully redundant hardware, the navigation algorithms present optimal estimators and multi-layers Failure, Detection, Isolation and Recovery (FDIR) capabilities to ensure the continuity of the state vector in case of failure. Several functions provide state vectors estimations and health reports, according to the flight phase: the attitude and drift estimation function provides the vehicle absolute attitude and angular rate during the whole flight; for the far rendezvous, position and velocity relative to the ISS are estimated by the relative GPS navigation and a dedicated relative navigation with Videometer applies in close rendezvous, in the final approach. All these autonomous navigation functions offer nevertheless a high level of monitoring and control to the ATV Control Centre operators. Thus the ATV innovative navigation chain provides the high level of performance, robustness and autonomy required by modern spacecrafts involved in human programs, today in Earth orbit but also for future space exploration missions.     

一种用于空间交会绕飞与逼近段的模糊控制律

研究了空间交会绕飞与最后逼近段的控制问题,设计出一种用于实现绕飞与逼近控制的模糊控制方案。在考虑测量误差的情况下,分别利用最小二乘与卡尔曼滤波方法对测量数据进行优化处理,并采用模糊控制方案实现绕飞与逼近段的仿真,仿真结果证实了模糊控制算法控制精度可以满足交会任务的需要,也验证了在具有测量误差条件下不同仿真方案所采用的模糊控制策略的有效性。     

基于SDRE方法的空间飞行器轨道交会状态估计

针对空间飞行器自主交会对接的最终逼近阶段,采用雷达作为相对测量设备,建立了目标飞行器轨道坐标系下的相对运动方程以及基于星载雷达的测量模型;运用基于状态相关黎卡提方程(SDRE)的方法设计滤波器,对目标飞行器运动状态进行估计,给出了状态相关黎卡提方程的数值解法,通过具体仿真算例分析了所设计滤波器的性能,并与扩展卡尔曼滤波器进行了比较,结果表明所提出的滤波器模型具有更高的相对状态确定精度.     

交会对接远程导引轨道控制状态规划与优化算法

对空间交会对接远程导引段轨道控制问题进行了研究。在简单介绍交会对接远程导引轨道控制实时规划模型的基础上,提出了基于近圆偏差方程、序列二次规划算法和目标权重函数等在不同控制目标模式下的状态规划与优化算法。仿真结果表明,该算法收敛速度快,能较好地满足交会对接远程导引段的轨道控制要求,具有一定的工程实用价值。     

Fast calculation method for mission opportunities in orbital interception and rendezvous problems

This paper proposes a fast calculation method to solve all mission opportunities for orbital interception and orbital rendezvous under the impulse-magnitude constraint. Different from the existing search methods, the proposed method does not need to solve Lambert’s problem in the whole process. Three cases are considered for either departure time or transfer time being free, or both being free. For fixed departure time, the feasible windows of transfer time are obtained by solving a single-variable nonlinear equation only of terminal true anomaly. Similarly, for fixed interception (or rendezvous) time, the feasible windows of departure time are obtained. For free departure time and free transfer time, all mission opportunities are obtained by using a one-dimensional search strategy. The hyperbolic-transfer and the multiple-revolution cases are also analyzed. Numerical results show that the proposed method is superior to the typical pork-chop plot method and the two-dimensional launch window method in computational time.     

交会对接任务天基双目标测控通信设计

针对交会对接任务对测控通信提出的高覆盖率和双目标测控等需求的问题,分析2颗中继卫星能够提供的覆盖率,设计双目标测控工作模式以及天地协同机制,计算中继链路的性能,分析表明,天基测控可提供约72%的测控覆盖率,能够支持双目标测控,链路余量满足要求;统计了任务中关键段落的测控通信工作情况,分析结果和实际任务情况验证了天基测控在交会对接任务测控通信中的重要作用;最后提出后续任务改进和完善的建议。