High order optimal control of space trajectories with uncertain boundary conditions

A high order optimal control strategy is proposed in this work, based on the use of differential algebraic techniques. In the frame of orbital mechanics, differential algebra allows to represent, by high order Taylor polynomials, the dependency of the spacecraft state on initial conditions and environmental parameters. The resulting polynomials can be manipulated to obtain the high order expansion of the solution of two-point boundary value problems. Since the optimal control problem can be reduced to a two-point boundary value problem, differential algebra is used to compute the high order expansion of the solution of the optimal control problem about a reference trajectory. Whenever perturbations in the nominal conditions occur, new optimal control laws for perturbed initial and final states are obtained by the mere evaluation of polynomials. The performances of the method are assessed on lunar landing, rendezvous maneuvers, and a low-thrust Earth–Mars transfer.     

基于碰撞检测的自适应阻抗控制机械臂系统(英文)

针对柔性关节机械臂,本文阐述了机械臂能够像人手一样安全操作的方法。3种方法相结合,以便机械臂能够柔顺的接触操作对象并控制接触力在预设定范围内。首先,提出采用虚拟分解法的笛卡尔阻抗控制用来实现机械臂在笛卡尔空间的柔顺控制。其次,引入自适应关节动态补偿器使得机械臂能够实施更为精确的控制。最后,设计了基于笛卡尔力反馈的实时路径规划,从而使机械臂能够检测碰撞并控制接触力。基于碰撞检测的自适应阻抗控制器能够简化其在机械臂上的实施,保持机械臂对环境的友好操作,并且严格满足系统的全局稳定性。实验在4自由度的卫星在轨自维护机械臂平台得以验证。碰撞检测实验和轨迹跟踪实验结果证明了所提出方法的有效性和可行性。     

小型固体运载火箭六自由度弹道仿真

针对控制系统采用侧喷流发动机和栅格舵的新型小型多级固体运载火箭开展六自由度弹道仿真研究。给出侧喷流发动机安装模型和推力模型以及开关机控制规律,阐明气动力和气动力矩计算方法;并建立了固体发动机推力模型,以及完整的六自由度弹道动力学和运动学模型。仿真结果表明:建立的六自由度弹道仿真模型能正确反映运载火箭飞行特性;研究的固体运载火箭满足将300kg有效载荷送入200km太阳同步轨道的运载能力要求;姿态控制系统满足运载火箭姿态控制精度要求;侧喷流推进剂质量分配合理,为总体方案论证和初步设计提供了理论依据。     

小推力深空探测轨道全局优化设计

 针对小推力深空探测四维轨道优化设计,给出了一种组合优化算法,采用该算法基于二体模型进行了深空探测四维轨道全局优化。该组合优化算法由动态规划算法、静态参数优化算法与共轭梯度算法组成。动态规划算法和静态参数优化算法用以选择最优的发射窗口、返回窗口及相应的近似飞行轨道;基于该近似轨道方案,采用共轭梯度算法（解决两点边值问题）求解精确的最优轨道。通过大量的数值仿真计算,得到了航天器的全局最优飞行轨道,及相应的最优发射窗口与返回窗口。数值仿真结果表明,该组合优化算法对深空探测轨道优化具有良好的通用性和工程运用价值。     

基于解析梯度的微推进转移轨道优化方法

 研究基于离散脉冲策略的行星际微推进转移轨道优化问题,为改善收敛性和计算效率,提出了一种解析的梯度矩阵计算方法。首先,基于离散脉冲思想建立了行星际微推进转移轨道优化模型,通过对速度脉冲矢量进行参数变换,避免了传统优化模型初值猜测和搜索域难以界定的缺点;然后,基于变分原理分析了离散脉冲模型中轨道状态转移矩阵与状态变分之间的关系,并给出了多种轨道特征条件下状态变分的计算方法,该方法可扩展到多次状态不连续情况;在此基础上,推导了离散脉冲轨道优化模型中性能指标与轨道约束对寻优参数梯度矩阵的解析表达式。以地球-火星的燃料最省微推进转移为例对所提解析梯度方法进行了仿真验证。数值结果表明：本文推导的解析梯度矩阵是正确的,与传统数值梯度计算方法相比,解析梯度矩阵可有效改善寻优算法的收敛特性,并能够提高计算效率约47%。     

Parameterized design of abort trajectories with a lunar flyby for a crewed mission

This article proposes an analytical preliminary design method for abort trajectory with a lunar flyby and the trajectory ergodic representation based on parameterization, as well as their application in studying the abort trajectories’ characteristics. First, by introducing two parameters, the perilune altitude and the perilune transfer time, the preliminary solution is developed parametrically using pseudostate theory to connect two special Lambert processes. The fast convergence of the improved differential correction under the high-fidelity gravity field verifies the accuracy of the proposed preliminary design method. Next, the two parameters are regarded as a set of variables to define an abort trajectory. Based on this, an ergodic representation of the abort trajectory with a certain abort time is yielded using the proposed design method, which offers a global view of the feasible abort trajectories. In addition, the influences of some factors on the performance of these abort trajectories are investigated based on the proposed design method and ergodic representation. The simulation results show that the abort time and the transfer time of the nominal trajectory significantly affect the ergodic representation and characteristics of the abort trajectory.