航天器姿态的非线性鲁棒分散控制器设计

研究了具有外部干扰力矩及参数不确定性的航天器姿态控制问题。针对这类多输入-多输出的不确定非线性系统，基于一种非线性鲁棒分散控制理论，设计了结构简单而易于实现的控制器。该控制器中包含的积分环节可以补偿系统的各种未知因素，同时确保恒值调节系统不存在稳态误差。仿真结果表明：所设计的鲁棒分散控制器与非线性动态逆控制器相比，具有更优越的抗干扰能力和对模型不确定的适应能力。即使系统存在外部干扰及模型小确定性，仍可在闭环系统中实现精确的姿态控制。该控制器有效地提高了航天器姿态控制的鲁棒性和适应性。     

Nonlinear 6-DOF control of spacecraft docking with inter-satellite electromagnetic force

Compared to traditional docking systems, spacecraft docking with inter-satellite electromagnetic mechanism has distinct advantages. However, its 6-DOF control problem has not been adequately investigated. From our knowledge, this paper attempts to study the 6-DOF control problem for the first time. Based on the far-field electromagnetic force model and Hill's model, the dynamic model of translational motion is derived; using tracking control strategy, LQR method and estimate of Extended State Observer (ESO), an optimal and robust translational controller is designed to satisfy relative position/velocity requirements of soft docking. Representing the attitude of the docking spacecraft pair by unit quaternion, the attitude dynamic and kinematic models with quaternion expression are derived; using behavior-based coordinated control approach and ESO, a decentralized attitude controller is designed to simultaneously align one spacecraft with its absolute desired attitude and with the other spacecraft of the docking pair, requiring no angular velocity measurement and exhibiting better robust capability. The feasibility and performance of this proposed 6-DOF controller are validated by theoretical deduction and simulation results.     

受细胞膜放电模型启发的航天器姿态鲁棒控制

研究了具有模型参数不确定和受空间环境干扰影响的挠性航天器姿态大角度快速机动快速稳定控制问题,设计了一种受细胞膜放电模型启发的鲁棒姿态控制器。综合考虑挠性航天器的强非线性和强耦合特性,设计了对模型参数和环境干扰具有鲁棒性的姿态机动控制器。为了减小机动中姿态突变激发的挠性附件振动,基于细胞膜放电的动力学模型设计了一种改进的鲁棒控制器。当参数不确定范围和干扰有界时,所提鲁棒控制器可使闭环系统的解最终一致有界。最后,分析了控制器参数对姿态控制性能及所需能量的影响。数值仿真验证了所提鲁棒控制器用于姿态机动控制可以得到良好的效果。     

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.     

含模型不确定性和状态约束的航天器姿态鲁棒控制

针对严格反馈三轴稳定航天器姿态控制问题,在考虑航天器系统存在模型不确定性、未知外部扰动、系统存在时延情况下,提出了一种鲁棒控制方法。首先建立航天器误差运动学和动力学模型,使用神经网络对系统不确定性和未知扰动进行逼近、引入障碍李雅普诺夫函数对系统状态约束进行处理;然后利用反步法构造一种鲁棒自适应姿态控制器,通过李雅普诺夫方法证明闭环系统是最终一致有界的;最后,结合工程实际经验对系统已知时延进行前馈补偿。半物理仿真结果表明了所设计控制器的有效性和鲁棒性。     

挠性航天器的鲁棒多目标姿态控制器设计

航天器挠性附件的振动难以直接测量且对航天器的姿态控制精度产生不利影响。为解决这一问题,提出一种基于观测器的鲁棒多目标姿态控制系统设计方法,借助特征结构配置的参数化方法,给出了含有自由参向量的控制器以及观测器的完整参数化形式。通过对自由参向量的多目标优化选取,使控制系统具有良好的鲁棒性和干扰抑制能力,并避免了控制输出饱和现象的发生。对一个挠性航天器的设计实例表明了方法的有效性。
     

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.     

太阳帆航天器姿态控制技术综述

太阳帆作为一种无工质消耗的新型航天器推进技术,逐渐受到国内外航天界的广泛关注。文章首先综述了太阳帆航天器控制技术的发展现状,重点分析了太阳帆航天器姿态控制技术的特点和难点;其次,按照执行机构的不同,分别介绍了近年来国内外航天领域提出的多种太阳帆航天器姿态控制方案,针对各个方案的优缺点加以分析;最后,对该领域未来的发展前景进行了展望。     

大型挠性航天器的鲁棒模型预测姿态控制

针对大型挠性航天器的三轴姿态控制问题,考虑了控制输入约束,设计了鲁棒模型预测姿态控制器。首先,将模型预测控制应用到不考虑扰动的标称挠性航天器系统中,通过求解优化问题推导预测控制律,从而得到三轴姿态的标称轨迹。然后,为有效处理大型挠性附件振动对中心刚体姿态造成的扰动,针对带有扰动的挠性航天器实际姿态控制系统,设计由最优状态与实际系统状态的误差构成的辅助反馈控制器,使实际系统状态维持在以标称轨迹为中心的“管道”(Tube)不变集内,并驱使实际系统状态到达标称轨迹上,最终沿着标称轨迹到达平衡点。仿真结果表明,在鲁棒模型预测控制的作用下,实现了姿态角的快速精确跟踪,有效地处理了由大挠性附件振动对中心刚体姿态产生的扰动,增强了系统的鲁棒性。     

测量不确定的充液航天器自适应鲁棒容错控制

针对三轴稳定充液航天器控制系统中同时存在外部未知干扰,参数不确定,测量不确定和执行器部分失效故障的鲁棒容错姿态机动控制问题进行研究。首先将部分充液贮箱内的晃动液体燃料等效为粘性球摆模型,采用动量矩守恒定律推导出航天器的刚-液耦合动力学方程。然后将变结构控制策略结合范数自适应估计算法设计了自适应鲁棒容错控制器,其中设计的范数自适应控制算法用于有效估计由测量不确定产生的集总扰动的未知上界;自适应估计算法则用于有效估计贮箱内的液体晃动位移变量。提出的控制策略不依赖精确的故障信息,并且在故障信息值不确定的情况下可以实现期望的姿态机动任务。基于Lyapunov稳定性分析方法证明了容错闭环系统状态变量的一致最终有界性。采用数值方法验证了所提控制方法的有效性和鲁棒性。     

多航天器反步滑模SO(3)协同控制

针对多航天器系统的姿态协同控制问题，基于特殊正交群(Special Orthogonal Group, SO(3))提出了滑模协同控制设计方法。结合有向通信拓扑，建立了多航天器SO(3)姿态模型。在此基础上研究了SO(3)上协同误差形式，提出了适用于协同控制器构造的SO(3)指令设计方法。为了解决姿态奇异问题，根据SO(3)姿态特性引入补偿项并设计了相应的滑模面，进一步采用反步法完成了SO(3)协同控制器设计，同时给出稳定性分析过程。提出的反步滑模方法保证了协同控制器在整个姿态空间内的适用性，使得多航天器系统能够实现稳定的姿态协同。文中采用两组多航天器系统仿真校验了所提协同方法的有效性。     

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.     

Maneuver planning of a rigid spacecraft with two skew control moment gyros

The attitude maneuver planning of a rigid spacecraft using two skew single-gimbal control moment gyros (CMGs) is investigated. First, two types of restrictions are enforced on the gimbal motions of two skew CMGs, with each restriction yielding continuous control torque along a principal axis of the spacecraft. Then, it is proved that any axis fixed to the spacecraft can be pointed along an arbitrary inertial direction by at most two sequent rotations around the two actuated axes. Given this fact, a two-step eigenaxis rotation strategy, executing by the two single-axis torques respectively, is designed to point a given body-fixed axis along a desired direction. Furthermore, a three-step eigenaxis rotation strategy is constructed to achieve an arbitrary rest-to-rest attitude maneuver. The rotation angles required for the single-axis pointing and arbitrary attitude maneuver schemes are all analytically solved. Numerical examples are presented to demonstrate the effectiveness of the proposed algorithms.     

含不确定性的绳系卫星姿态的鲁棒最优控制

针对绳长变化的旋转二体绳系卫星姿态跟踪控制问题,提出了一种分布式鲁棒最优控制方法。首先针对单体绳系卫星姿态模型,在假设模型精确和不存在干扰的条件下,设计基于HamiltonJacobiBellman方程的最优控制器;进一步考虑到实际系统存在参数不确定性和干扰,采用自适应方法和鲁棒误差积分方法隐式学习参数不确定性和有界干扰,与最优控制器结合设计鲁棒最优控制器,并应用Lyapunov稳定性定理证明其闭环系统的渐近稳定性。其次,根据绳系卫星系统的运动同步性,将单体绳系卫星姿态控制器设计扩展至二体绳系卫星系统,设计二体绳系卫星姿态系统的分布式鲁棒最优控制器。最后在Matlab/Simulink平台上进行仿真验证,结果表明了所设计控制器的可行性与有效性。     

Very large space structures: Non-linear control and robustness to structural uncertainties

Very Large Space Structures (VLSS) are challenging systems to be controlled, due to their high flexibility. In particular, rapid attitude maneuvers can determine great oscillations on the flexible elements of a spacecraft (solar wings, antennas, booms). On account of this, in the last decades many researchers have developed different strategies to effectively damp the elastic vibrations by means of active vibration devices (such as piezo-electric patches) or by means of robust control algorithms. The approach suggested in this paper is different, since neither additional devices nor complex control laws are introduced. In fact, the complete model of the system (including rigid, elastic and orbital dynamics, coupled with control actions) is controlled by the non-linear attitude controller named state dependent Riccati equation, which will be based on a simplified version of the spacecraft model. The task to reduce the mutual interaction between rigid attitude and flexible dynamics is entirely transferred to a modification of the desired trajectory that must be tracked. This command shaping technique is based on the knowledge of the parameters (inertial and elastics) of the VLSS. Unfortunately these parameters are not always exactly known and, however, they may change over the time. On account of this a Monte Carlo analysis has been also performed, showing the robustness of the proposed control strategy to the structural uncertainties. The numerical simulations prove that this strategy, based on the joint application of two well-known yet simple techniques, produces accurate and robust results.     

Robust attitude stabilization of spacecraft subject to actuator failures

A robust nonlinear control scheme is developed to stabilize the 3-axis attitude of the spacecraft for cases where there is no control available on either roll or yaw axis. The stability conditions for robustness against unmatched uncertainties and disturbances are derived to establish the regions of asymptotic 3-axis attitude stabilization. The properties of the proposed sliding surface are investigated to obtain the domains of sliding mode for the closed-loop system. 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.     

一种挠性航天器的对偶四元数姿轨耦合控制方法

为解决复杂的挠性航天器的姿轨控制问题,对于挠性航天器的姿轨耦合动力学建模与控制展开研究。基于对偶四元数原理,推导给出一套挠性航天器的姿轨一体化动力学模型。此种模型能够紧凑描述航天器的轨道和姿态,且能够自动引入航天器平动、转动与挠性附件振动三者之间的关联耦合作用。基于此模型设计了一种自适应位置姿态跟踪控制器,该控制器能够在航天器质量特性参数未知的情况下,对其位置和姿态进行轨迹跟踪控制,并使位置和姿态误差收敛。该自适应控制器还可对航天器上挠性附件对系统的耦合作用进行估计,进而在控制输出中对其进行补偿,提高卫星控制系统的稳定性。通过仿真对控制律进行校验,结果表明该控制律对挠性航天器控制效果良好,具有一定的工程应用参考价值。     

航天器姿态跟踪系统的非线性鲁棒自适应控制

研究有未知惯量矩阵和干扰力矩的刚体航天器姿态跟踪。对此类多输入多输出、不确定非线性系统,提出了一种非线性鲁棒自适应控制策略,用Lyapunov直接法分析了闭环系统稳定性。理论分析表明,该控制器不仅保证闭环系统一致最终有界稳定,航天器姿态跟踪误差收敛至系统平衡点的一个较小领域,而且使闭环系统对航天器惯量参数有自适应能力,对有界干扰力矩具鲁棒性。仿真结果表明：所设计的非线性鲁棒自适应控制器有效。     

飞行器再入姿态双环滑模控制及其逻辑选择

应用滑模控制设计了一种飞行器再入姿态控制方法,这个控制器应用两环的滑模控制方案,可以获得对角速度及角度的同时跟踪并具有较好的鲁棒性和解耦性能。针对飞行器再入姿态的动力面与反作用混合控制的特点,运用优化控制选择配置算法把控制力矩指令配置为末端受动器的控制指令,分别由动力面与反作用致动器执行。再入姿态仿真验证了该方法的精度、鲁棒性以及解耦的跟踪性能及有效性。     

基于鲁棒自适应反步法的航天器姿态跟踪控制

针对存在未知惯量矩阵和外干扰的刚体航天器姿态跟踪,提出了一种鲁棒自适应控制方法。综合自适应反步法和非线性L2增益干扰抑制方法,用自适应反步法构造系统的Lyapunov函数,获得了具L2增益的鲁棒自适应控制器,以保证姿态跟踪误差系统为一致最终有界稳定,确保估计的航天器惯量参数的有界性,并使从外干扰输入到评价输出的L2增益不大于给定值。仿真结果验证了方法的有效性和可行性。