基于新型终端滑模的航天器执行器故障容错姿态控制

针对受干扰的刚体航天器冗余执行器存在故障与控制受限的姿态跟踪控制问题,提出一类基于新型指数形式的非奇异快速滑模面（ENFTSM）与趋近律的姿态容错控制器设计方法。当部分推力器发生故障时,假设剩余推力器具有输出饱和特性且能提供足够推力保证航天器执行任务,相比一般终端滑模控制器,本文设计的控制器不仅能使系统状态以更快的速度到达平衡点,且不需要在线对执行器故障信息进行检测和分离。基于Lyapunov方法证明本文设计的控制器能保证闭环系统稳定,且能有效地抑制外部干扰、控制受限和执行器故障等约束。最后对提出的控制算法进行了数值仿真,其结果表明了该控制器的有效性。     

考虑输入饱和的航天器相对运动鲁棒自适应控制

 研究了在输入饱和约束条件下的航天器相对运动的姿态和轨道一体化控制问题。首先,基于单位对偶四元数给出了航天器6自由度相对运动的数学模型,利用误差对偶四元数来描述航天器的相对姿态和相对位置。接着,针对输入饱和问题,提出了一种对航天器模型参数不确定性和外部有界干扰具有较强鲁棒性的自适应控制器,并通过李雅普诺夫方法从理论上严格证明了整个闭环系统的全局渐近稳定性。最后,通过数值仿真来验证设计方法的有效性和可行性,并且与其他方法进行了比较,结果表明设计的方法能够抑制输入饱和的问题,在性能上具有更快的收敛速度和更强的鲁棒性。     

基于新型终端滑模的航天器执行器故障容错姿态控制简

 针对受干扰的刚体航天器冗余执行器存在故障与控制受限的姿态跟踪控制问题,提出一类基于新型指数形式的非奇异快速滑模面（ENFTSM）与趋近律的姿态容错控制器设计方法。当部分推力器发生故障时,假设剩余推力器具有输出饱和特性且能提供足够推力保证航天器执行任务,相比一般终端滑模控制器,本文设计的控制器不仅能使系统状态以更快的速度到达平衡点,且不需要在线对执行器故障信息进行检测和分离。基于Lyapunov方法证明本文设计的控制器能保证闭环系统稳定,且能有效地抑制外部干扰、控制受限和执行器故障等约束。最后对提出的控制算法进行了数值仿真,其结果表明了该控制器的有效性。     

推力器故障的刚体航天器自适应变结构容错控制

 针对刚体航天器存在未知惯量参数、推力器故障以及控制受限的姿态控制问题,提出了一类自适应变结构容错控制方法,显式地引入推力器输出的饱和幅值,以确保控制输出在其要求界的范围内;同时,引入控制参数在线自适应调整技术,提高了控制律对参数、干扰以及故障变化的自适应能力;对设计者而言,推力器故障信息不需要进行在线检测和分离。此外,进一步考虑存在推力偏差对系统性能的影响,设计控制器参数使得闭环系统对这类推力偏差具有L₂增益稳定性。最后,将设计的控制器应用于航天器的姿态机动控制,仿真结果表明该控制器能有效地抑制外部干扰、参数不确定性和推力器各种故障的约束,在完成姿态机动的同时,保证其控制输出满足饱和受限界的要求。     

Autonomous attitude coordinated control for spacecraft formation with input constraint,model uncertainties,and external disturbances

To synchronize the attitude of a spacecraft formation flying system, three novel autonomous control schemes are proposed to deal with the issue in this paper. The first one is an ideal autonomous attitude coordinated controller, which is applied to address the case with certain models and no disturbance. The second one is a robust adaptive attitude coordinated controller, which aims to tackle the case with external disturbances and model uncertainties. The last one is a filtered robust adaptive attitude coordinated controller, which is used to overcome the case with input con- straint, model uncertainties, and external disturbances. The above three controllers do not need any external tracking signal and only require angular velocity and relative orientation between a spacecraft and its neighbors. Besides, the relative information is represented in the body frame of each spacecraft. The controllers are proved to be able to result in asymptotical stability almost everywhere. Numerical simulation results show that the proposed three approaches are effective for attitude coordination in a spacecraft formation flying system.     

考虑输入饱和与姿态角速度受限的航天器姿态抗退绕控制

 针对航天器姿态控制过程中同时存在输入饱和与姿态角速度受限的问题,提出了一种新型的姿态控制设计方法。该方法在保证系统渐近稳定的前提下,能够显式地给出输入力矩和姿态角速度的最大幅值,并通过引入一个时变锐度参数来增强系统对外部干扰的抑制能力;在此基础上,进一步考虑了由于四元数的冗余性所导致的退绕问题,设计了一组新的姿态偏差函数和偏差向量,使得控制器在满足上述约束的同时还具有抗退绕的优点。仿真结果表明,所提算法能够同时满足输入饱和与姿态角速度受限的约束,并且在较大外部干扰的情况下表现出了很强的鲁棒性,同时成功地规避了退绕现象。该算法为存在多重约束的航天器姿态控制问题提供了一个新的思路和解决方案,具有很好的实际应用价值。     

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.     

考虑输入饱和的固定翼无人机自适应增益滑模控制

针对复杂环境下的固定翼无人机飞行控制问题，考虑输入饱和以及复杂外界干扰的影响，提出一种基于自适应滑模控制方法的固定翼无人机飞行控制策略。首先，对固定翼无人机模型进行介绍，将模型分为姿态子系统和速度子系统；其次，针对姿态子系统和速度子系统的特点以及控制需求，分别采用自适应多变量螺旋滑模和自适应快速超螺旋滑模设计姿态控制器和速度控制器，该策略无需设计干扰观测器对外界干扰进行估计，仍然可以实现固定翼无人机对姿态参考指令和速度参考指令的有限时间精确跟踪，并基于Lyapunov的稳定性分析方法证明了闭环系统的稳定性。最后，对本文所提出的控制策略进行了仿真验证，结果表明该控制策略具有良好的控制性能。     

Robust attitude coordinated control for spacecraft formation with communication delays

In this paper,attitude coordinated tracking control algorithms for multiple spacecraft formation are investigated with consideration of parametric uncertainties,external disturbances,communication delays and actuator saturation.Initially,a sliding mode delay-dependent attitude coordinated controller is proposed under bounded external disturbances.However,neither inertia uncertainty nor actuator constraint has been taken into account.Then,a robust saturated delay dependent attitude coordinated control law is further derived,where uncertainties and external disturbances are handled by Chebyshev neural networks (CNN).In addition,command filter technique is introduced to facilitate the backstepping design procedure,through which actuator saturation problem is solved.Thus the spacecraft in the formation are able to track the reference attitude trajectory even in the presence of time-varying communication delays.Rigorous analysis is presented by using Lyapunov-Krasovskii approach to demonstrate the stability of the closed-loop system under both control algorithms.Finally,the numerical examples are carried out to illustrate the efficiency of the theoretical results.     

Sliding mode and shaped input vibration control of flexible systems

In this paper, the vibration reduction problem is investigated for a flexible spacecraft during attitude maneuvering. A new control strategy is proposed, which integrates both the command input shaping and the sliding mode output feedback control (SMOFC) techniques. Specifically, the input shaper is designed for the reference model and implemented outside of the feedback loop in order to achieve the exact elimination of the residual vibration by modifying the existing command. The feedback controller, on the other hand, is designed based on the SMOFC such that the closed-loop system behaves like the reference model with input shaper, where the residual vibrations are eliminated in the presence of parametric uncertainties and external disturbances. An attractive feature of this SMOFC algorithm is that the parametric uncertainties or external disturbances of the system do not need to satisfy the so-called matching conditions or invariance conditions provided that certain bounds are known. In addition, a smoothed hyperbolic tangent function is introduced to eliminate the chattering phenomenon. Compared with the conventional methods, the proposed scheme guarantees not only the stability of the closed-loop system, but also the good performance as well as the robustness. Simulation results for the spacecraft model show that the precise attitudes control and vibration suppression are successfully achieved.     

Anti-disturbance attitude control of combined spacecraft with enhanced control allocation scheme

In this paper, we propose a novel anti-disturbance attitude control law for combined spacecraft with an improved closed-loop control allocation scheme. More specifically, a saturated approach is adopted to guarantee the global asymptotic stability under control input saturation. To enhance the robustness of the system, a nonlinear disturbance observer is constructed to compensate the disturbances caused by inertial parameter uncertainty and unmodeled dynamics. Next, the quadratic programming algorithm is used to obtain an optimal open-loop control allocation scheme, where both energy consumption and actuator saturation have been considered in the allocation of the virtual control command. Then, a modified closed-loop control allocation scheme is proposed to reduce the allocation error under the actuator uncertainty. Finally, stability analysis of the closed-loop system with the proposed allocation scheme is provided. Simulation results confirm the effectiveness of the proposed control scheme.     

SE(3)上航天器姿轨耦合固定时间容错控制

针对相对运动航天器姿轨一体化控制问题,考虑执行器故障和控制输入饱和的影响,提出了一种基于滑模的模糊自适应固定时间容错控制方法。首先,在李群SE（3）的框架下建立并推导相对运动航天器姿轨一体化误差动力学模型;其次,引入执行器故障和控制输入饱和的问题,采用双幂次快速终端滑模面,并结合模糊自适应方法设计了固定时间稳定的容错控制器,可以实现执行器故障情况下相对运动航天器的高精度快速跟踪控制;然后,运用Lyapunov方法证明了系统的稳定性,该控制器不仅能不依赖于系统的初始状态实现滑模趋近和到达阶段的固定时间稳定性,而且由于采用模糊逼近方法结合自适应更新策略可以实时高精度地估计系统的总扰动信息,因此可以达到快速高精度的容错控制目标;最后,对所提出的的控制方法进行数值仿真分析,结果验证了该方法的有效性和可行性。     

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.     

Robust adaptive compensation control for unmanned autonomous helicopter with input saturation and actuator faults

This paper studies a robust adaptive compensation Fault Tolerant Control(FTC) for the medium-scale Unmanned Autonomous Helicopter(UAH) in the presence of external disturbances,actuator faults and input saturation.To improve the disturbance rejection capacity of the UAH system in actuator healthy case, an adaptive control method is adopted to cope with the external disturbances and a nominal controller is proposed to stabilize the system.Meanwhile, compensation control inputs are designed to reduce the negative effects derived from actuator faults and input saturation.Based on the backstepping control and inner-outer loop control technologies, a robust adaptive FTC scheme is developed to guarantee the tracking errors convergence.Under the presented FTC controller, the uniform ultimate boundedness of all closed-loop signals is ensured via Lyapunov stability analysis.Simulation results demonstrate the effectiveness of the proposed control algorithm.     

航天器自适应快速非奇异终端滑模容错控制

针对存在外部干扰、转动惯量矩阵不确定、控制器饱和以及执行器故障的航天器姿态跟踪控制问题,提出了基于自适应快速非奇异终端滑模的有限时间收敛控制方案。通过引入能够避免奇异点的具有有限时间收敛特性的快速非奇异终端滑模面,设计了满足多约束的有限时间姿态跟踪容错控制器,并利用参数自适应方法使控制器设计不依赖于系统惯量信息和外部干扰的上界。此外,所设计的控制器显式考虑了执行器输出力矩的饱和幅值特性,使航天器在饱和幅值的限制下完成姿态跟踪控制任务,并且无须进行在线故障估计。Lyapunov稳定性分析表明：在外部干扰、转动惯量矩阵不确定、控制器饱和以及执行器故障等约束条件下,所设计的控制器能够保证闭环系统的快速收敛性,而且对控制器饱和与执行器故障具有良好的容错性能。数值仿真校验了该控制器在姿态跟踪控制中的优良性能。     

Event-triggered adaptive control for attitude tracking of spacecraft

Plug-and-play technology is an important direction for future development of spacecraft and how to design controllers with less communication burden and satisfactory performance is of great importance for plug-and-play spacecraft. Considering attitude tracking of such spacecraft with unknown inertial parameters and unknown disturbances, an event-triggered adaptive backstepping controller is designed in this paper. Particularly, a switching threshold strategy is employed to design the event-triggering mechanism. By introducing a new linear time-varying model, a smooth function, an integrable auxiliary signal and a bound estimation approach, the impacts of the network-induced error and the disturbances are effectively compensated for and Zeno phenomenon is successfully avoided. It is shown that all signals of the closed-loop system are globally uniformly bounded and both the attitude tracking error and the angular velocity tracking error converge to zero. Compared with conventional control schemes, the proposed scheme significantly reduces the communication burden while providing stable and accurate response for attitude maneuvers. Simulation results are presented to illustrate the effectiveness of the proposed scheme.     

利用受限张力的拖曳变轨欠驱动姿态稳定策略

在空间绳系拖曳变轨中,目标和平台形成一种哑铃型绳系系统,且仅依靠有限的平台推力和系绳张力来抑制系绳的摆动。针对此类输入受限的欠驱动控制问题,提出了一种利用受限张力的姿态稳定策略。首先,推导了组合体姿态动力学模型。然后通过数值求解姿态平衡方程得出理论面内姿态指令,再采用高斯伪谱法对其优化获得实际指令。最后,基于分层滑模理论设计欠驱动张力控制律,并嵌入抗饱和模块以缓解张力饱和。仿真表明空间平台能在正向有限的张力控制下,平滑地收放系绳使面内角和绳长跟踪实际姿态指令。此外,所提策略对目标体摆动和传感器误差也具有良好的鲁棒性。     

基于有向图的航天器编队飞行自适应姿态协同控制

在有向通信拓扑下研究了编队航天器自适应姿态协同控制问题。针对航天器编队飞行系统中存在外部扰动和模型不确定性的情况,通过选取包含相对姿态误差和绝对姿态误差的辅助变量,提出了一种鲁棒自适应控制策略。提出了自适应律估计转动惯量矩阵和扰动上界等未知参数,并且利用Lyapunov稳定性理论分析了闭环系统的渐近稳定性。与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。最后通过仿真验证了该控制策略能够实现高精度的编队飞行跟踪控制。     

航天器有限时间自适应姿态跟踪容错控制

非刚体航天器存在时变的惯量、执行器完全失效或衰退故障以及外界干扰的情况,提出一种有限时间自适应姿态跟踪容错控制方法。首先,基于有限时间理论和自适应方法,设计惯量不确定性自适应估计项和外界干扰参数自适应估计项进行系统补偿,克服惯量不确定性和抑制外界干扰;然后,基于容错控制和双幂次方法,设计一种自适应有限时间姿态跟踪容错控制算法,并且利用Lyapunov稳定性理论证明所提算法能够保证航天器姿态跟踪系统实际有限时间稳定;最后,对仿真结果进行验证。结果表明:所提有限时间姿态跟踪容错控制方法是有效的。     

基于循环追踪控制的卫星编队构形调整控制律设计

卫星编队控制问题中，分布式控制优于主从式控制，在编队控制中应用日益广泛。提出了一种基于循环追踪算法的分布式控制策略，分析了该方法的优势。由于循环追踪算法存在编队中心由初始几何中心固定并与运动过程无关的弱点，引进了虚拟灯塔导引进行联合控制实现编队中心可变。建立了三维空间相对运动数学模型，设计非线性循环追踪算法与虚拟灯塔导引联合控制律，对全员联合控制与单星联合控制其余卫星采用非线性循环追踪控制两种方案的计算结果进行比较。结果表明，全员联合控制律的控制方案优于仅单星采用联合控制的方案，两种方案均可实现卫星编队按指定构形运动。