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.     

地球同步轨道薄膜太阳帆的姿态轨道控制方法

薄膜太阳帆（FSS）是集推进、发电和姿轨控功能于一体化的超大型挠性太阳帆式航天器,通过调整薄膜反射率产生可变推力和力矩,实现其姿态和轨道运动控制。结合薄膜太阳帆在地球同步轨道运行时的受力特性进行了轨道漂移分析。通过建立薄膜太阳帆动力学模型及受力模型,提出了调整帆面角度轨道修正方法以及基于薄膜光压力矩角动量卸载的长期在轨对日定向面内双轴动量轮稳定控制方法。通过系统仿真验证表明所提的轨道修正和对日定向控制方法是合理有效的,可使薄膜太阳帆长期在定点位置维持对日定向。     

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.     

霍尔推进系统扭矩特性分析及应用设计

为降低霍尔推进系统产生的扭矩长期作用于航天器对姿态控制造成的干扰,对其扭矩特性进行分析和优化设计,通过对扭矩的产生机理进行模型化分析,得到了放电参数对扭矩大小及方向的影响关系。分析表明,1kW～5kW功率级霍尔推力器工作时,会产生量级为10-4N?m的扭矩,通过控制励磁电流方向可改变扭矩方向。针对典型的全电推进飞行任务,通过提出霍尔推进系统扭矩主动控制设计,实现了对系统产生的扭矩进行相互抵消或者叠加利用,降低了系统的应用风险。     

空间绳系机器人逼近目标协调控制方法

 为了节省空间绳系机器人的末端执行装置在逼近目标卫星过程中推力器所使用的燃料,本文提出一种利用推力器、反作用轮及空间系绳的协调控制方法。首先利用二次型最优控制器(LQR)算法计算出末端执行装置逼近目标所需的理想轨道控制力,然后利用模拟退火算法将所需轨道控制力优化分配到推力器及空间系绳,同时利用时间延迟算法通过反作用轮补偿空间系绳产生的姿态干扰力矩。仿真结果表明,利用该协调控制方法能显著节省末端执行装置上推力器的燃料消耗,有效抑制空间系绳协调控制力产生的姿态干扰,使末端执行装置保持相对稳定的姿态。     

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.     

Nonlinear adaptive spacecraft attitude control using solar radiation pressure

Spacecraft and interplanetary probes orbiting at high altitudes experience forces due to solar radiation pressure, which can be used for maneuvering. The question of large angle pitch attitude maneuvers of satellites using solar radiation torque is considered. For pitch axis maneuver, two highly reflective control surfaces are used to generate radiation moment. The solar radiation moment is a complex nonlinear function of the attitude and parameters of the satellite, the orbital parameters, and the deflection angles of the reflective control surfaces. It is assumed that the parameters of the satellite model are unknown. Based on a backstepping design technique, a nonlinear adaptive control law is derived for the control of the pitch angle. In the closed-loop system, the pitch angle asymptotically tracks prescribed reference trajectories. Simulation results are presented to show that the adaptive control system accomplishes attitude control of the satellite in spite of the parameter uncertainties in the system.     

精确轨道航天器的姿态机动策略选择

航天器姿态控制一直是地面飞控的核心,尤其对于有精确轨道控制要求的航天器,姿态控制的策略选择直接关系任务成败。探月三期月地高速再入返回任务对再入角有着严格要求,为了实现返回器高精度再入,在系统介绍服务舱的姿态控制模式、控制方法和控制流程的基础上,提出了利用修改相平面参数和轮控调姿,以建立轨控姿态,从而减少姿控喷气,并提高轨控精度的方法。飞行结果表明,中途修正的控制精度从最初的分米量级提高至0.009m/s。高精度轨道控制使得提前32h再入角控制精度达到0.024°,较设计指标提高1个数量级。文中提及的轮控调姿方法可作为未来深空探测任务姿态控制的设计参考。     

基于模糊控制的永磁同步电机直接转矩控制

设计了基于模糊控制的永磁同步电机(PMSM)直接转矩控制(DTC)系统,采用模糊控制器取代了传统DTC系统中的磁链和转矩滞环比较器及开关表。仿真结果表明:模糊控制PMSM DTC系统运行良好,可实现四象限运行,与传统开关表相比,可有效减小转矩脉动和平均开关频率。研究了转矩误差论域和零电压矢量对模糊控制性能的影响,并基于转矩角对电压矢量作用的影响规律,提出了考虑转矩角的PMSM模糊直接转矩控制。仿真结果表明:在转矩角较大时,考虑转矩角的PMSM模糊DTC系统可有效减小转矩和磁链脉动,改善控制性能。     

航天器快速绕飞姿控脉宽调制研究

针对航天器快速绕飞姿态控制和脉宽调制,提出了脉宽调制指令算法,结合航天器转动惯量、期望状态、控制力矩等进行了姿态控制可行性分析。基于误差四元数的姿态滑模控制,结合不同的控制力矩和脉宽调制档次,采用姿态角误差分析了脉宽调制、控制力矩、姿控精度的关系。通过数值仿真,验证了脉宽调制控制指令的有效性和姿态控制应用的可行性。     

Attitude control of a satellite with redundant thrusters

Redundant thrusters are generally used for a reliable attitude control system. Also, redundant thrusters yield a better performance if they are used appropriately. In this paper, the authors propose an efficient redundancy management algorithm to reduce the fuel consumption. The algorithm is based on a linear programming problem which is a constrained optimization problem. For the algorithm, a cost function is defined as a quantity related to the fuel consumption for a maneuver. The independent variables are the thrusters' on-times which are control input variables of a satellite dynamic model. The advantage of the proposed method is verified by numerical examples. The examples show that the proposed method consumes less fuel than an existing method for a given maneuvering command. A sub-optimal algorithm is also discussed for an onboard computation. The proposed algorithm is applied to two maneuvers: move-to-rest and rest-to-rest. This is verified by a numerical simulation.     

利用飞轮的航天器姿态跟踪与能量存储

研究航天器集成能量与姿态控制系统中飞轮的控制律。系统中飞轮是姿态控制的执行机构,同时也是储能装置。首先利用Lyapunov方法设计了航天器姿态跟踪的反馈控制律,然后研究一种力矩形式的飞轮控制律。利用奇异值分解方法把飞轮组的控制力矩向量分解为3部分相互正交的力矩向量,一部分用来提供姿态控制力矩,一部分用来以给定的功率储能,另一部分完成轮速平衡以避免由于各飞轮轮速差异过大引起的飞轮饱和。提出了一种基于动能反馈的储能功率规划方案来保证系统的能量平衡,可以避免由于过剩能量引起的飞轮饱和。数值仿真结果验证了控制方案的有效性。     

High-precision shape approximation low-thrust trajectory optimization method satisfying bi-objective index

The shape approximation method has been proven to be rapid and practicable in resolving low-thrust trajectory; however, it still faces the challenges of large deviation from the optimal solution and inability to satisfy the specific flight time and fuel mass constraints. In this paper, a modified shape approximation low-thrust model is presented, and a novel constrained optimization algorithm is developed to solve this problem. The proposed method aims at settling the bi-objective optimization o...     

Momentum transfer-based attitude control of spacecraft with backstepping

A nonlinear control law design based upon the backstepping approach is addressed for attitude maneuver control of spacecraft by momentum transfer (MT) in the presence of disturbance. For MT, a traditional method usually applies constant torque as an input, which tends to produce significant residual oscillation. Enhanced methods such as optimal control can somewhat reduce the residual oscillation, but may not be enough for minimum residual motion. Feedback linearization technique can drive the final nutation angle small enough, but it is rather sensitive to parameter uncertainty. The proposed method here takes advantage of nonlinear control approach with small steady-state nutation angle. Sensitivity about parameter uncertainties by feedback linearization can be reduced by the backstepping technique. Stability of the resulting control law is guaranteed by the Lyapunov stability theory. Boundedness of the control law is presented to validate practical merit of the proposed control law.     

共位衍射电磁航天器成像过程中的小推力控制 (新型推进系统控制专栏)

为了满足衍射成像系统在解决低轨遥感航天器覆盖范围小、目标重访周期长等问题的同时,而引入的航天器相对位置、姿态控制需求。针对共位衍射航天器相对位置、姿态控制过程中传统推力器带来的羽流污染问题,本文采用电磁推力器和飞轮作为执行器,设计一种基于快速非奇异滑模的轨道控制器和基于PID的姿态控制器。所设计的快速非奇异滑模轨道控制器为共位衍射航天器频繁位置调整提供控制保障,基于PID的姿态控制器能够消除由电磁力耦合产生的电磁干扰力矩。研究结果表明：基于相对轨道动力学方程设计的快速非奇异滑模控制律鲁棒性好、收敛速度快,能够达到两颗共位衍射电磁航天器沿z轴保持在10m相对距离的控制效果。在轨道调整过程中,其姿态能够通过PID算法稳定控制到期望姿态,使衍射成像结构一直保持不变,从而有效完成衍射成像任务。     

Analysis of reaction torque-based control of a redundant free-floating space robot

Owing to the dynamics coupling between a free-floating base and a manipulator,the non-stationary base of a space robot will face the issue of base disturbance due to a manipulator's motion.The reaction torque acted on the satellite base's centroid is an important index to measure the satellite base's disturbance.In this paper,a comprehensive analysis of the reaction torque is made,and a novel way to derive the analytical form of the reaction torque is proposed.In addition,the reaction torque null-space is derived,in which the manipulator's joint motion is dynamically decoupled from the motion of the satellite base,and its novel expression demonstrates the equivalence between the reaction torque null-space and the reaction null-space.Furthermore,the reaction torque acted as an optimization index can be utilized to achieve satellite base disturbance minimization in the generalized Jacobian-based end-effector Cartesian path tracking task.Besides,supposing that the redundant degrees of freedom are abundant to achieve reaction torque-based active control,the reaction torque can be used to realize satellite base attitude control,that is,base attitude adjustment or maintenance.Moreover,because reaction torque-based control is a second-order control scheme,joint torque minimization can be regarded as the optimization task in reaction torque-based active or in-active control.A real-time simulation system of a 7-DOF space robot under Linux/RTAI is developed to verify and test the feasibility and reliability of the proposed ideas.Our extensive empirical results demonstrate that the corresponding analysis about the reaction torque is correct and the proposed methods are feasible.     

质量矩固体推进微纳卫星自适应反演控制律设计

为解决微纳卫星利用固体火箭推进器进行快速轨道机动时的姿态翻滚问题,提出了利用质量矩技术对卫星的俯仰、偏航通道姿态进行稳定控制。首先考虑推进剂燃烧、质量块运动等因素引起的系统质量特性参数的变化,建立质量矩固体推进微纳卫星姿态动力学模型;然后分析了推进剂燃烧、质量矩控制引入的系统模型参数不确定性、连续有界未知干扰;随后基于反演控制方法,设计了卫星姿态角和姿态角速度双回路自适应滑模动态面控制器,利用自适应算法调节控制参数估计来补偿不确定因素的影响;基于Lyapunov函数证明了闭环系统的稳定性。最后,通过数值仿真验证了控制算法的有效性。     

动能拦截器姿轨控发动机开关机控制规律设计

研究了动能拦截器轨控发动机的变推力实现方案,重点设计了姿轨控发动机的开关机控制规律,并通过拦截过程仿真,对所设计的控制规律进行了验证。仿真结果表明,姿控系统可以达到很高的角度控制精度,轨控系统可以控制拦截器与目标直接相撞。这说明所设计的姿轨控发动机开关机控制规律是有效的。     

永磁有限转角力矩电机的仿真与实验

随着多电飞机的快速发展及成附件轻小化、高效能的迫切需求,有限转角力矩电机(Limited Angle Torque Motor,LATM)在飞机引气系统中的应用日益迫切。一方面,有限转角力矩电机可以显著简化高温引气控制阀结构、减小体积;另一方面,可以基于系统需求实现引气压力和温度按需调节,减少燃油代偿损失。针对高温有限转角力矩电机工作特性不易预测的难题,建立了其数学模型、仿真模型,并通过实物试验验证了仿真模型的准确性。研究结果为有限转角力矩电机特性研究提供了参考依据。     

基于降维负载转矩观测器的调速系统控制技术研究

针对高精度电动燃油调速系统在负载突变工作时燃油增压与燃油流量调节的稳定性问题,研究了前馈补偿控制策略,提出了一种基于降维负载转矩观测器的抗负载扰动控制方法。该方法实时对电动调速系统的同步电机输出转速与负载转矩进行观测,并将观测到的负载转矩补偿到同步电机交轴电流,实现闭环调速控制,从而避免了负载扰动影响系统输出转速,减小电动燃油泵对燃油的压力与流量的影响。仿真和试验结果表明,在快速加载与卸载实验条件下所提出的方法的正确性与可行性。