基于退步法的敏捷航天器姿态控制方法

主要研究敏捷航天器大角度姿态机动问题。首先,以SGCMG(Single Gimbal Control Momentum Gyroscope,单框架控制力矩陀螺)为执行机构,建立了基于四元数的航天器姿态机动数学模型;然后,针对SGCMG的奇异问题,研究了基于力矩输出和回避奇异能力最优的联合操纵律;最后,基于敏捷航天器姿态误差模型和李雅普诺夫稳定理论设计了一种退步控制律。仿真结果表明,该控制方法能够很好地实现大角度机动目标并有效避免了SGCMG的奇异状态,满足姿态机动任务的控制精度和稳定度要求。     

航天器大角度特征轴机动的指数时变滑模控制(英文)

针对刚体航天器大角度姿态机动问题,研究了具有全局鲁棒性的特征轴机动控制策略。设计了一种指数时变的滑模面和相应的姿态机动滑模控制律,控制律使系统相轨迹从初始时刻起就始终处于滑动阶段,消除了传统时不变滑模控制的到达阶段,对外界扰动及参数不确定性具有全局鲁棒性,并实现了特征轴机动;通过Lyapunov定理证明了提出控制律的稳定性及全局滑模运动的存在性;利用全局滑模运动的特点得到系统任意时刻状态的解析表达式,表明姿态误差响应无超调,系统具有良好的动态性能。进一步考虑了控制力矩饱和问题,利用力矩指令调节器在避免控制力矩饱和的同时保证特征轴机动的特点。最后通过数值仿真验证了控制律的优点。     

大型单框架磁悬浮控制力矩陀螺研制关键技术研究

控制力矩陀螺属于航天器姿态控制与机动惯性执行机构,磁悬浮控制力矩陀螺具有输出力矩大、微振动、低噪声、长寿命等特点,是敏捷机动卫星、空间站、天空实验室等理想的惯性执行机构之一.在阐述磁悬浮控制力矩陀螺工作原理、结构特点的基础上,介绍了磁悬浮控制力矩陀螺的电磁设计原理、结构分布及控制系统设计过程.基于大型磁悬浮控制力矩陀螺的主要技术指标,详细分析了大型单框架磁悬浮控制力矩陀螺的三个关键技术和解决途径.包括大承载力永磁偏置磁轴承的设计、制造和控制技术;低功耗高速永磁无刷直流电机的设计、控制技术;低速高精度Halbach型框架电机设计、制造、装配和控制技术.为磁悬浮控制力矩陀螺的进一步工程化应用提供了有效的技术途径.     

利用变速控制力矩陀螺的航天器集成能量与姿态控制

 利用变速控制力矩陀螺(VSCMG)的航天器姿态与能量一体化控制问题。针对以VSCMG为姿态控制执行机构的刚体航天器设计了全局渐近稳定的姿态跟踪控制律。将VSCMG的框架角速度和转子角加速度作为控制输入向量设计操纵律。利用加权的最小范数解得到VSCMG的姿态控制输入向量,并用与之正交的控制输入向量来以给定的功率存储/释放能量。提出了同时表征力矩陀螺模式构型奇异和转子轮速平衡的混合指标函数。对控制自由度有冗余的系统,在混合指标函数的基础上利用梯度法构建了VSCMG的空转运动,以回避力矩陀螺模式的构型奇异,并同时减小转子转速差过大引起的转速饱和以及VSCMG零奇异的可能性。利用反馈转子动能的方法规划日照期间的储能功率,以维持系统长时间工作的能量平衡。基于某太阳同步轨道卫星的数值仿真结果验证了系统的有效性。     

空间站零燃料大角度最优姿态机动路径规划

为了避免控制力矩陀螺在大角度姿态机动过程中的饱和,规划了最优的姿态机动路径,使大角度姿态机动过程中控制力矩陀螺的角动量峰值最小.建立了姿态机动的动力学与控制数学模型及姿态路径规划的数学模型,采用直接打靶法将控制路径规划问题转化为带参数约束的非线性参数优化问题,采用序列二次规划算法进行求解.数值仿真的结果表明通过姿态路径...     

基于变结构控制器的敏捷卫星姿态机动方法

随着遥感卫星观测能力的逐步提升,对卫星敏捷机动能力提出了更高的要求。针对敏捷卫星大角度姿态机动问题,以6个单框架控制力矩陀螺(SGCMG)组成五棱锥构型的姿态控制系统执行机构,在构建敏捷卫星姿态运动数学模型以及设计SGCMG系统操纵律的基础上,对卫星绕Euler轴进行姿态机动的角轨迹进行规划,并设计了一种基于误差四元数与误差角速度的变结构控制器。仿真及在轨验证结果表明,该控制器能够完成规划轨迹的良好跟踪且具有较强的鲁棒性,研究成果对敏捷卫星姿态控制系统的设计具有重要的参考意义。     

基于势函数法的航天器自主姿态机动控制

主要研究存在禁止姿态的航天器自主姿态机动控制问题.首先,给出航天器的动力学和运动学模型,利用四元数描述航天器与机动姿态和禁止姿态的姿态偏差,用相应的欧拉转角描述不同姿态间的距离.为利用势函数完成禁止姿态回避,结合航天器的运动情况设计排斥势函数(RPF)存在条件后,根据禁止姿态最小允许夹角构造一种新的排斥势函数.接着,利...     

基于控制力矩陀螺的BTT飞行器协调转弯控制

针对倾斜转弯(BTT)飞行器进行横向机动时会产生侧滑角的问题,提出一种考虑通道耦合因素的协调转弯控制方法。采用了一种基于单框控制力矩陀螺(SGCMG)的侧滑角抑制执行机构来替代方向舵、矢量推力发动机等传统执行机构。建立了加装控制力矩陀螺的BTT飞行器横向机动时的多变量强耦合非线性倾斜转弯动力学模型。根据BTT飞行器横向机动时的协调转弯要求,设计了一种基于非线性反馈和线性二次型最优算法的解耦综合控制器。计算结果表明:协调转弯控制系统可实现滚转角指令的良好跟踪和侧滑角的有效抑制。     

控制力矩陀螺磁轴承-框架动力学耦合特性仿真研究简

框架角速率精度决定着控制力矩陀螺输出的姿态控制力矩精度,前者的精度由框架伺服电机力矩精度和框架转动惯量决定.磁悬浮控制力矩陀螺框架转动和陀螺转子的微小扭摆运动间存在动力学耦合,其框架表现出比标称值大的等效转动惯量.在柔性结构框架动力学模型和磁轴承刚度-阻尼模型基础上,研究磁轴承-框架动力学特性,推导出框架等效转动惯量和磁轴承控制参数之间的关系式,表明调整磁轴承控制参数能增大框架等效转动惯量,提高框架角速率精度.根据闭环系统稳定性和轴承承载力,确定了磁轴承控制参数取值范围,并给出了框架等效转动惯量的调节范围.通过对某小型磁悬浮控制力矩陀螺框架角速率控制系统的Simulink仿真,证明了控制力矩精度可以提高5倍,验证了模型的准确性.     

采用变速控制力矩陀螺的航天器自适应姿态跟踪和稳定控制研究

研究以变速控制力矩陀螺群(VSCMGs)为主执行机构的卫星功率/姿态一体化控制(IPACS)问题。针对卫星的三轴稳定控制和相对惯性系的姿态跟踪问题分别设计了两类自适应控制器,二者都考虑了执行机构的动力学特性,并进行了稳定性的证明。其中前者采用相对姿态描述,可以避免三轴稳定飞行中因惯性姿态旋转方向的选择而引起的控制力矩突变;后者采用改进的罗得里格斯参数(MRPs)描述姿态,简化了控制器设计过程并避免了运动学奇异。对姿态误差的描述,前者采用小姿态角假设下的偏差形式,后者采用现时姿态与期望姿态之间的方向余弦矩阵,更具有合理性。设计了能够逃离奇异、并具有轮速平衡功能的VSCMGs的操纵律,并应用磁力矩器为VSCMGs进行动量卸载。最后,通过两个算例进行了仿真,验证了所设计系统的可行性和有效性。     

Exponential Time-varying Sliding Mode Control for Large Angle Attitude Eigenaxis Maneuver of Rigid Spacecraft

An eigenaxis maneuver strategy with global robustness is studied for large angle attitude maneuver of rigid spacecraft. A sliding mode attitude control algorithm with an exponential time-varying sliding surface is designed, which guarantees the sliding mode occurrence at the beginning and eliminates the reaching phase of time-invariant sliding mode control. The proposed control law is global robust against matched external disturbances and system uncertainties, and ensures the eigenaxis rotation in the presence of disturbances and parametric uncertainties. The stability of the control law and the existence of global siding mode are proved by Lyapunov method. Furthermore, the system states can be fully predicted by the analytical solution of state equations, which indicates that the attitude error does not exhibit any overshoots and the system has a good dynamic response. A control torque command regulator is introduced to ensure the eigenaxis rotation under the actuator saturation. Finally, a numerical simulation is employed to illustrate the advantages of the proposed control law.     

一种精确鲁棒的刚体航天器特征轴旋转控制策略(英文)

特征轴旋转表征了两个方位之间的最短角路径,通常被看做是一种拟最小时间的快速姿态机动策略。本文在动力学方程中考虑了外部扰动和系统参数不确定性,基于时变滑模控制技术(TVSMC)研究了刚体航天器特征轴旋转的鲁棒控制问题。首先,通过一个TVSMC算法揭示了所提出鲁棒特征轴旋转策略的主要特点,并且证明了全局滑模的特点和闭环系统的稳定性,给出了特征轴旋转的必要条件。然后,为了抑制全局抖振,提高控制精度,提出了一种基于扰动观测器的时变滑模控制(DOTVSMC)算法。其中,采用边界层方法来削弱抖振并设计了扰动观测器来补偿不期望的影响。在航天器的姿态表征参数选择上,采用了没有冗余性的修正罗德里格斯参数(MRP)。最后,采用数值仿真来验证提出方法的有效性,并采用调宽调频(PWPF)技术来调制开关推力器。     

Singularity analysis for single gimbal control moment gyroscope system using space expansion method

Control Moment Gyroscope (CMG) is an effective candidate for agile satellites and large spacecraft attitude control because of its powerful torque amplification capability. The most serious situation, however, in using CMG is the inherent geometric singularity problem, where there’s no torque output along a particular direction. Space expansion method has been proposed in this work for the singularity analysis. Based on inverse mapping transformation, an expanded Jacobian matrix which is a full rank square matrix is obtained. The singular angle sets of the 3-parallel cluster and pyramid cluster are distinguished using space expansion method. An effective hybrid steering strategy, able to deal with the elliptic singularity, is further proposed. Simulation results demonstrate the excellent performance of the proposed steering logic compared to the generalized singular robust logic and pseudo inverse logic in terms of energy consumption and torque error.     

四元数的核心矩阵及其在航天器姿态控制中的应用

基于旋转群代数,以航天器姿态控制研究为背景,提出了四元数的核心矩阵的概念。以此为中心,首先导出了核心矩阵本身、逆、行列式及其导数的若干关系式,然后应用核心矩阵得到了四元数姿态误差及其运动学关系的非常简洁的表示形式,最后利用核心矩阵证明了用缩减四元数为广义坐标和以常规 Euler角为广义坐标对描述航天器姿态动力学的等效性。研究结果可应用于航天器的快速、大角度和三维姿态机动控制     

Singularity problem of control moment gyro cluster with vibration isolators

As powerful torque amplification actuators, control moment gyros (CMGs) are often used in the attitude control of many state-of-the-art high resolution satellites. However, the distur-bance generated by the CMGs can not only reduce the attitude stability of a satellite but also dete-riorate the performance of optic payloads. Currently, CMG vibration isolators are widely used to target this problem. The isolators can affect the singularity of the CMG system as they are placed between the CMGs and the satellite bus and provide additional freedoms to the CMG system due to their flexibility. The formulation of the output torque of a CMG is studied first considering the dynamic imbalance of its spin rotor and then the deformation angle as a result of the isolator’s flex-ibility is calculated. With the additional freedoms, the influence of isolator on the singularity problem is studied and a new steering logic to escape from the singular states is proposed.     

Spacecraft attitude maneuver control using two parallel mounted 3-DOF spherical actuators

A parallel configuration using two 3-degree-of-freedom (3-DOF) spherical electromag-netic momentum exchange actuators is investigated for large angle spacecraft attitude maneuvers. First, the full dynamic equations of motion for the spacecraft system are derived by the Newton-Euler method. To facilitate computation, virtual gimbal coordinate frames are established. Second, a nonlinear control law in terms of quaternions is developed via backstepping method. The pro-posed control law compensates the coupling torques arising from the spacecraft rotation, and is robust against the external disturbances. Then, the singularity problem is analyzed. To avoid sin-gularities, a modified weighed Moore-Pseudo inverse velocity steering law based on null motion is proposed. The weighted matrices are carefully designed to switch the actuators and redistribute the control torques. The null motion is used to reorient the rotor away from the tilt angle saturation state. Finally, numerical simulations of rest-to-rest maneuvers are performed to validate the effec-tiveness of the proposed method.     

基于ESO的DGVSCMG双框架伺服系统不匹配扰动抑制

针对双框架变速率控制力矩陀螺（DGVSCMG）两种工作模式下内、外框架系统存在的不匹配干扰抑制问题,提出一种基于扩张状态观测器与状态反馈的扰动抑制方法。在对飞轮工作模式和陀螺工作模式下内、外框架系统的干扰进行建模和分析的基础上,针对其不匹配干扰设计了扩张状态观测器,通过坐标变换减小框架系统扰动对不匹配通道的影响,并结合状态反馈控制设计了复合控制器,同时对全局系统稳定性进行了分析。对框架系统进行的仿真结果验证了所提复合控制方法的有效性。实验结果表明,所提出的控制方法能有效减小耦合力矩对内外框架角速率带来的影响,在飞轮模式下使得内外框架的角速率跳动量分别降低了85%和78%,且在陀螺模式下使外框架角速率跳动量降低了75%。     

Coordinated Multiple Spacecraft Attitude Control with Communication Time Delays and Uncertainties

In this paper, we consider the coordinated attitude control problem of spacecraft formation with communication delays, model and disturbance uncertainties, and propose novel synchronized control schemes. Since the attitude motion is essential in non-Euclidean space, thus, unlike the existing designs which describe the delayed relative attitude via linear algorithm, we treat the attitude error and the local relative attitude on the nonlinear manifold-Lie group, and attempt to obtain coupling attitude information by the natural quaternion multiplication. Our main focus is to address two problems:1) Propose a coordinated attitude controller to achieve the synchronized attitude maneuver, i.e., synchronize multiple spacecraft attitudes and track a time-varying desired attitude; 2) With known model information, we achieve the synchronized attitude maneuver with disturbances under angular velocity constraints. Especially, if the formation does not have any uncertainties, the designer can simply set the controller via an appropriate choice of control gains to avoid system actuator saturation. Our controllers are proposed based on the Lyapunov-Krasovskii method and simulation of a spacecraft formation is conducted to demonstrate the effectiveness of theoretical results.     

使用VSCMGs的IPACS的奇异性分析与操纵律设计

 研究使用变速控制力矩陀螺群(VSCMGs)的能量/姿态一体化控制系统(IPACS)的奇异性分析与操纵律设计问题。提出了VSCMGs的CMG奇异与IPACS奇异两种概念。对于给定的CMG奇异方向,采用优化理论得到了在该方向上VSCMGs的转子达到角动量饱和时的转速表达式,并给出了IPACS奇异的充要条件及其证明。分析了考虑星体角速度影响时的实际IPACS的奇异性质。在此基础上为实现合理的动量管理,采用加权矩阵的方法设计了IPACS的操纵律。最后通过算例验证了所得到的IPACS奇异判据的正确性,并通过数值仿真,验证了所设计的操纵律的正确性及其良好的动量管理性能。