速度信息缺失的平动点轨道交会预设性能控制

以平动点轨道的交会对接为研究背景,基于高阶积分链微分器和预设性能控制理论提出了一种仅需相对位置信息的平动点轨道近程交会控制律。首先利用高阶积分链微分器估计两航天器的相对速度状态,并设计预设性能控制器使得两航天器的相对运动状态在预设的边界内渐近收敛到期望状态。然后利用李雅普诺夫函数证明相对运动状态存在扰动时控制器的稳定性。该方法为闭环控制,且与模型无关,容易在线操作。仿真结果表明,在平动点轨道航天器存在未知扰动以及导航制导等不确定的情况下,利用所提交会控制律能够实现追踪航天器与目标航天器交会任务的高精度实时控制,具有较强鲁棒性。     

Decentralized coordinated control for multiple spacecraft formation maneuvers

We investigate the decentralized coordinated control problem by looking into local information exchange among formation flying spacecraft regarding formation maneuvers. The nonlinear dynamics that describes the motion of formation flying spacecraft relative to a reference spacecraft is considered for the general case, in which the reference spacecraft is in an ideal elliptical orbit. With the novel use of consensus algorithms combined with behavior-based control, coordinated formation controllers are proposed for three schemes: (i) with full state feedback; (ii) without velocity measurements; (iii) and with external disturbances and parametric uncertainty. The three algorithms used in the schemes can achieve both formation maneuvering and formation keeping, as well as consider actuator saturation. Numerous simulations demonstrate the effectiveness of the proposed control schemes.     

基于有向图的航天器编队鲁棒自适应姿态协同跟踪控制

针对一组有向通讯拓扑关系的编队航天器的协同控制问题,考虑航天器的模型不确定性(指惯量不确定性)以及受到的外部干扰的影响,设计了分布式自适应协同姿态跟踪控制器,使得各航天器姿态协同的同时跟踪时变的期望姿态。首先,针对由MRP参数描述的航天器误差动力学方程,选取了包含相对误差项以及绝对误差项的滑模面,将模型不确定项和外界干扰项作为整体处理,基于Lyapunov稳定性理论给出了非回归项的自适应算法和分布式协同跟踪控制律的设计方法,以使得各航天器协同收敛到期望的姿态,最后通过仿真验证了该算法的有效性、可行性。     

编队InSAR相对姿态控制

编队InSAR要求较高的相对姿态指向精度和地面观测重合度。根据相对姿态控制要求，提出了编队InSAR相对姿态计算的方法，从而确定从星的期望姿态。在此基础上，设计了两种非全状态反馈控制器及相应的角速度滤波器：半状态反馈控制器和角速度滤波器，输出反馈控制器和滤波器，进行相对姿态控制。数值仿真结果表明两种方法均可满足编队InSAR相对姿态控制要求。     

轨道交会、悬停及绕飞控制的解析解方法

面向航天器交会对接、编队伴飞以及在轨操控等空间应用的需求,分别对近圆、椭圆轨道上航天器间的相对运动进行了分析与建模,在常值推力作用假设下进行了相对运动的解析求解。采用模型预测的方法获得航天器相对位置和相对速度的预期偏差。通过广义逆变换构造关于预期偏差的最小范数、最小二乘全状态反馈控制器。提出了一种普遍适用于近圆、椭圆轨道,可以实现轨道交会、相对悬停保持和循迹绕飞,对相对位置和相对速度进行同步控制的高精度、高稳定度相对制导律。仿真结果校验了方法的可行性和有效性。     

基于气浮台的编队飞行地面试验建模与鲁棒控制器设计

为分析验证卫星编队飞行涉及的相对导航、制导与控制以及星间通信等问题,搭建了编队飞行的地面试验系统,采用了一块3m×4.5m的气浮平台和具有两个平动自由度和一个转动自由度的卫星仿真器分别来模拟低阻力的空间环境和编队飞行的卫星,相对导航采用了视觉相机和室内GPS两种方案,星间通信则通过蓝牙进行模拟。推导了描述仿真器间相对运动的包含参数不确定性的动力学模型,并基于此模型设计了带极点配置的鲁棒H∞控制算法,通过姿态同步和构型保持等仿真实验重点对编队飞行的相对导航、星间通信和相对状态控制进行分析验证,对实际的编队任务具有一定的参考和指导意义。     

椭圆轨道交会、悬停与绕飞的全状态反馈控制

面向大椭圆轨道航天器交会对接、编队伴飞以及在轨操控等空间应用的需求,对大椭圆轨道上航天器间的相对运动进行了分析与建模,采用幂级数法分别在脉冲推力和常值推力作用两种情况下对系统进行了近似求解。通过对系统解的变换以及对系统状态的重构,给出了大椭圆轨道上的三种交会制导律。脉冲推力作用假设下的脉冲制导类似近圆轨道的Hill制导方法。常值推力作用假设下的全状态反馈制导律则在交会制导、相对悬停和循迹绕飞控制的过程中实现了对相对位置和相对速度的同步控制。通过构造新的系统状态,改进的变系数全状态反馈制导律提高了相对速度的制导精度,降低了相对制导过程中的最大轨控加速度。三种制导律的制导效果通过数学仿真进行了校验和比较,文中给出的方法实现了椭圆轨道上相对交会制导、悬停保持和循迹绕飞控制。     

控制受限的编队航天器鲁棒自适应控制

研究了考虑控制受限的编队航天器鲁棒自适应轨道跟踪控制问题。针对航天器编队飞行系统中控制受限、外部扰动和模型不确定性的情况,利用反步控制方法和指令滤波设计提出了一种鲁棒自适应控制策略。指令滤波器用于补偿控制受限对于控制器的影响,同时设计了自适应律对未知参数进行估计,并且利用Lyapunov稳定性理论分析了闭环系统的渐近稳定性。和滑模控制等传统鲁棒控制不同,所设计的鲁棒自适应控制器是连续的,更便于航天器编队飞行系统的实现。仿真结果表明所设计的控制器既能实现高精度的编队飞行跟踪控制,又能保证控制受限的要求。     

欠驱动航天器编队重构的切换神经网络控制

针对圆轨道欠驱动航天器编队重构问题,将传统的自适应神经网络控制器和自适应滑模控制器相结合,设计了一种切换神经网络控制器,用以跟踪由伪谱法求解得到的航天器编队重构的最优开环控制轨迹。自适应神经网络控制器在活跃区域内工作,利用径向基神经网络(RBFNNs)近似动力学系统中的不确定项,自适应滑模控制器在活跃区域外工作,利用自适应律来估计近似误差上界,并采用李雅普诺夫方法证明了闭环系统稳定性。数值仿真结果表明切换神经网络控制器可在欠驱动条件下实现编队重构,与线性滑模控制器相比,实现了控制器快速、高精度、强鲁棒等控制性能。     

Decentralized sliding-mode control for spacecraft attitude synchronization under actuator failures

This paper examines attitude synchronization and tracking problems with model uncertainties, external disturbances, actuator failures and control torque saturation. Two decentralized sliding mode control laws are proposed and analyzed based on algebraic graph theory. Using Barbalat׳s Lemma, it is shown that the control laws guarantee each spacecraft approaches the desired time-varying attitude and angular velocity while maintaining attitude synchronization among the other spacecraft in the formation. The first controller is designed in the presence of model uncertainties, external disturbances, and actuator failures. The results are extended to the case with control input saturation in the second controller. Both control laws do not require online identification of failures. Numerical simulations are presented to show the effectiveness of the proposed attitude synchronization and tracking approaches.     

Sun–Earth L2 point formation control using polynomial eigenstructure assignment

A nonlinear controller based on polynomial eigenstructure assignment (PEA) is presented for the control of Sun–Earth L₂ point formation flying. The relative motion dynamics is formulated as a nonlinear equation and rewritten as a Quasi-Linear Time-Varying (QLTV) model. Using a coprime factorization of the desired closed-loop transfer function, the PEA controller structure is calculated by representing the controller gains as polynomials. During the implementation of spacecraft formation flying, the PEA method is extended from Linear Time-Invariant (LTI) and Linear Parameter-Varying (LPV) models to a QLTV model to produce a closed-loop system with invariant performance over a wide range of conditions. To ensure system performance, the analytic stability analysis of the closed-loop system is developed and a position keeping controller for MIMO formation flying is designed using a decoupling method to achieve the desired performance. Finally, a simulation is carried out to validate the controller performance for the formation flying.     

编队飞行航天器测量通信一体化系统的交互链路技术

实现航天编队飞行需要有测量系统测定队列成员的相对位置、姿态和时间,还需要通信系统在编队成员间交换工程数据和科学实验数据。测量系统和通信系统都是实现航天编队飞行的核心技术。基于卫星导航技术,将卫星导航接收机、伪卫星发射机、伪码扩频序列通信和测距链路及相关数据处理模块组合,组成射频收发器,可以构成完成上述功能的测量和通信一体化系统。文中根据国外已有的实践经验阐明射频收发器设计中的交互链路设计技术,包括关于链路拓扑的考虑是采用星形网络还是网形网络;采用相控阵波束形成、分路多路径接收和多用户检测技术;采用半双工码分多址的多路传输体制和打包的信号结构;既可用兼用GPS和交互链路的相对导航,也可只用交互链路测距实现相对定位导航;在编队内外的星间通信乃至星地通信中引入移动IP功能等。航天器本身必须具备适应空间环境的耐辐射能力。     

A novel single thruster control strategy for spacecraft attitude stabilization

Feasibility of achieving three axis attitude stabilization using a single thruster is explored in this paper. Torques are generated using a thruster orientation mechanism with which the thrust vector can be tilted on a two axis gimbal. A robust nonlinear control scheme is developed based on the nonlinear kinematic and dynamic equations of motion of a rigid body spacecraft in the presence of gravity gradient torque and external disturbances. The spacecraft, controlled using the proposed concept, constitutes an underactuated system (a system with fewer independent control inputs than degrees of freedom) with nonlinear dynamics. Moreover, using thruster gimbal angles as control inputs make the system non-affine (control terms appear nonlinearly in the state equation). This necessitates the control algorithms to be developed based on nonlinear control theory since linear control methods are not directly applicable. The stability conditions for the spacecraft attitude motion for robustness against uncertainties and disturbances are derived to establish the regions of asymptotic 3-axis attitude stabilization. Several numerical simulations are presented to demonstrate the efficacy of the proposed controller and validate the theoretical results. The control algorithm is shown to compensate for time-varying external disturbances including solar radiation pressure, aerodynamic forces, and magnetic disturbances; and uncertainties in the spacecraft inertia parameters. The numerical results also establish the robustness of the proposed control scheme to negate disturbances caused by orbit eccentricity.     

考虑执行器安装偏差时航天器姿态稳定的控制分配

针对存在执行机构安装偏差和外干扰的航天器姿态控制问题,提出一类基于反步法的自适应滑模控制策略,该方法在实现姿态控制快速性和高精度的同时,能有效地避免因执行机构安装偏差引起的不确定性所导致的控制奇异现象。在此基础上,考虑到执行机构冗余特性,进一步提出一种基于能量最优约束二次规划的动态控制分配算法来完成期望指令到执行机构的指令分配,克服了传统伪逆法难以考虑的控制力矩位置和速度约束,减少了系统功耗,实现了分配后控制力矩的平稳性和能量最优。最后,将提出的控制方案应用于某型轮控刚体航天器的姿态稳定任务中,仿真结果验证了提出方法的可行性、有效性。     

挠性航天器混合H2/H∞输出反馈姿态控制（英文）

研究一类带有挠性附件的航天器的H2/H∞输出反馈姿态控制问题,所涉及的挠性航天器由刚性本体和挠性附件构成。由于挠性附件的振动和航天器本体姿态运动的耦合,再加之振动模态难以测量,对挠性航天器的姿态控制带来困难。针对该问题提出了基于H2/H∞理论的动态输出反馈控制器设计方法。动态输出反馈在模态变量不能测量的前提下也能有效控制航天器本体姿态,而H∞控制器具有很好的抗干扰能力,能有效抑制空间环境干扰力矩和模型不确定性对控制系统稳定性的影响。和纯H∞输出反馈控制算法相比,基于H2/H∞的设计同时提高系统的动态性能。数值仿真验证了所设计的控制方法对挠性航天器具有很好的姿态控制效果。     

Spacecraft formation flying: A review and new results on state feedback control

This paper presents a review of previous work within the field of spacecraft formation flying, including modeling approaches and controller design. In addition, five new approaches for tracking control of relative translational motion between two spacecraft in a leader–follower formation are derived. One PD controller with feedback linearisation is derived and shown to result in an exponentially stable equilibrium point of the closed loop system. Four nonlinear controllers are derived and proved by using Lyapunov theory and Matrosov's theorem to leave the closed loop system uniformly globally asymptotically stable. Results from the simulation of the system with the derived controllers are presented, and compared with respect to power consumption and tracking performance.     

基于归一化神经网络的航天器自适应姿态跟踪控制

针对以变速控制力矩陀螺（VSCMGs）为姿态控制执行机构的航天器在同时考虑惯性参数和执行机构不确定性情况下的姿态跟踪控制问题,提出了一种基于归一化神经网络的自适应姿态跟踪控制方法。设计一个非线性反馈控制器作为航天器姿态控制的基本控制器,利用归一化神经网络设计补偿控制器,用以在线估计和消除包含系统不确定参数的未知不确定函数的影响,避免了标准自适应控制方法需要进行大量不确定参数估计的缺陷。采用神经网络输入归一化技术,简化了闭环系统复杂的稳定性分析过程。理论分析证明了闭环系统的稳定性和姿态跟踪误差的收敛性。仿真结果表明,所提出的控制方法能满足航天器在惯性参数和执行机构不确定性及外干扰存在情况下的高精度姿态跟踪控制要求。
     

航天器集群构形控制的虚拟弹簧阻尼网络方法

针对航天器集群质心相对运动构形控制问题,提出了一种基于虚拟弹簧阻尼网络的分布式控制方法。航天器间以虚拟的弹簧阻尼器相互连接,弹簧的原长根据期望的相对运动构形来设定。各航天器的控制输入是与其相连的所有弹簧阻尼器的合力。在线性动力学模型和拓扑结构连通且固定的假设下,基于代数图论的方法推导出了闭环系统稳定性条件。对近地轨道上100个航天器形成格点相对运动构形和20个航天器形成时变距离的椭圆构形的实例进行了仿真,考虑了轨道摄动的影响,结果表明,集群通过虚拟弹簧阻尼网络控制可实现期望构形,并能达到厘米量级的构形保持控制精度。该控制方法不改变集群的质心,只需施加很小的控制加速度;仅基于局部的邻居交互,能够适应大规模集群对分布式控制的要求。     

零角动量欠驱动航天器逆最优稳定控制律设计

研究轮控式零角动量欠驱动航天器姿态最优稳定控制问题。考虑到该类型航天器不存在定常光滑稳定控制律的特点,通过Lyapunov直接法和Backstepping方法设计了一种非线性不连续反馈控制律,同时得到控制Lyapunov函数（CLF）,并由此得到逆最优稳定控制律。该控制律可以避开求解Hamilton-Jacobi方程,最小化某一代价函数,同时具有扇形稳定裕度,对输入不确定性具有一定的鲁棒性。数学仿真结果表明,所设计的非线性不连续反馈控制律能够使姿态渐近稳定至平衡点,并具有最优性,以及在转动惯量存在不确定性时,扇形稳定裕度使系统具有一定的鲁棒性。     

Fuel-optimal eccentricities for precise formation keeping of spacecraft on Keplerian orbits

In this paper, the problem of precise relative position keeping associated with the formation flying of two spacecraft is discussed. Taking into account of the applications to astronomic observation, the relative position of spacecraft is controlled to be precisely retained on a part of an orbit rather than on the entire orbit; moreover, the relative position is retained in the inertial coordinates rather than in the local vertical local horizontal coordinates. The fuel-optimal eccentricities are computed for each length of control time. Then, it is shown that the fuel-optimal eccentricity is close to 1 when the control time is shorter than approximately 90% of the orbit period; on the contrary, the fuel-optimal eccentricity is in the neighborhood of 0 when the control time is close to the orbit period. Moreover, several analytic expressions including the propellant consumptions at the eccentricities of 0 and 1 are obtained.