Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver

This paper presents a new approach to vibration reduction of flexible spacecraft during attitude maneuver by using the theory of variable structure control (VSC) to design switching logic for thruster firing and lead zirconate titanate (PZT) as sensor and actuator for active vibration suppression. The spacecraft to be investigated is a hub with a cantilever flexible beam appendage, which can undergo a single axis rotation. The proposed control system includes the attitude controller acting on the rigid hub, designed by variable structure control technique, and the surface-bonded PZT patches for active vibration suppression of flexible appendages, designed by the positive position feedback (PPF) control technique. To avoid chattering, pulse-width pulse-frequency (PWPF) modulation is adopted for the thruster control, which makes the thrusters to be operated in a close to linear manner and also can suppress the relatively large amplitude vibrations excited by, for example, rapid maneuver. However, some residual micro-vibrations still exist due to the switching actions. Upon that, the technique of active vibration control using PZT is turned on to provide further vibration suppression of the residual micro-vibrations and fine tuning of the system performance. By combining the advantages of both these control strategies, an improved performance for vibration control in both the macro-and micro-senses can result. Both analytical and numerical results are presented to show the theoretical and practical merit of this approach.     

挠性航天器的退步直接自适应姿态跟踪控制

针对参数不确定的挠性航天器姿态跟踪控制问题,提出了一种退步直接自适应控制算法。首先验证了挠性航天器动力学子系统的近似严格正实性,并设计了具有理想控制性能的参考模型;然后对以姿态四元数描述的运动学子系统设计常系数输出反馈中间控制律,使航天器姿态四元数输出渐近跟踪参考模型输出;最后退一步,对具有参数不确定特性的动力学子系统,基于非线性直接自适应控制理论和Lyapunov稳定性理论,设计了退步直接自适应姿态跟踪控制器,并证明了闭环系统的稳定性。仿真结果表明,所提控制方法能有效抑制挠性附件的振动,对挠性航天器的控制是有效的。     

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.     

A composite control scheme for attitude maneuvering and elastic mode stabilization of flexible spacecraft with measurable output feedback

This paper treats the question of attitude maneuver control and elastic mode stabilization of a flexible spacecraft based on adaptive sliding mode theory and active vibration control technique using piezoelectric materials. More precisely, a modified positive position feedback (PPF) scheme is developed to design the PPF compensator gains in a more systematical way to stabilize the vibration modes in the inner loop, in which a cost function is introduced to be minimized by the feedback gains subject to the stability criterion at the same time. Based on adaptive sliding mode control theory, a discontinuous attitude control law is derived to achieve the desired position of the spacecraft, taking explicitly into account the mismatched perturbation and actuator constraints. In the attitude control law, an adaptive mechanism is also embedded such that the unknown upper bound of perturbation is automatically adapted. Once the controlled attitude control system reaches the switching hyperplane, the state variables can be driven into a small bounded region. An additional attractive feature of the attitude control method is that the structure of the controller is independent of the elastic mode dynamics of the spacecraft, since in practice the measurement of flexible modes is not easy or feasible. The proposed control strategy has been implemented on a flexible spacecraft. Both analytical and numerical results are presented to show the theoretical and practical merit of this approach.     

柔性航天器振动主动抑制及姿态控制

针对柔性航天器柔性附件振动主动抑制及姿态高精度快速稳定问题,研究了一种输入成形器（IS）-自适应有限时间干扰观测器（FDO）-有限时间积分滑模控制器综合的设计方法。首先,基于柔性模态的频率及阻尼信息,获得能够有效抑制柔性振动的输入成形器形式,并与系统参考输入进行卷积,得到期望参考输入;其次,基于航天器动力学模型,设计一种新型的自适应有限时间干扰观测器,避免了综合干扰上界必须已知的约束,且保证干扰估计误差有限时间收敛至零,实现对干扰及残余振动影响的快速精确估计;最后,基于观测器的估计值,设计多变量有限时间积分滑模控制器,保证对期望参考输入的高精度快速跟踪控制,并进行严格的稳定性证明。仿真结果表明,该综合设计策略能够保证柔性附件振动抑制75%,姿态稳定度达到10^-4数量级。     

Composite anti-disturbance position and attitude control for spacecrafts with parametric uncertainty and flexible vibration

The rendezvous and proximity operations with respect to a tumbling non-cooperative target pose high requirement for the position and attitude control accuracy of servicing spacecraft.However, multiple disturbances including parametric uncertainties, flexible vibration, and unknown nonlinear dynamics degrade the control performance significantly. In order to enhance the system anti-disturbance ability, this paper proposes a composite anti-disturbance control law for the spacecraft position and at...     

Adaptive control and stabilization of elastic spacecraft

This work treats the question of large angle rotational maneuver and stabilization of an elastic spacecraft (spacecraft-beam-tip body configuration). It is assumed that the parameters of the system are completely unknown. An adaptive control law is derived for the rotational maneuver of the spacecraft. Using the adaptive controller, asymptotically decoupled control of the pitch angle of the space vehicle is accomplished, however this maneuver causes elastic deformation of the beam connecting the orbiter and tip body. For the stabilization of the zero dynamics (flexible dynamics), a stabilizer is designed using elastic mode velocity feedback. In the closed-loop system including the adaptive controller and the stabilizer, reference pitch angle trajectory tracking and vibration suppression are accomplished. Simulation results are presented to show the maneuver capability of the control system     

Control and stabilization of nonlinear uncertain elastic roboticarm

An approach is presented to the control of an uncertain nonlinear flexible robot arm (PUMA-type) with three rotational joints. The third link is assumed to be elastic. A torquer control law, which is a function of the trajectory error, is derived for controlling the joint angles. The knowledge of the system dynamics is not required for the derivation of the controller. This controller includes a reference model to generate command joint angle trajectories, and a dynamic system in the feedback path which requires only joint angle and rate for feedback. The torquer controller asymptotically decouples the elastic dynamics into two subsystems, representing the transverse vibration of the elastic link in two orthogonal planes. For the damping of the elastic vibration, a force control law using modal velocity feedback is synthesized. Simulation results are presented to show that the combination of the torque and force control law accomplishes reference joint angle trajectory tracking and elastic mode stabilization despite the uncertainty in the system     

挠性飞行器姿态机动脉冲调宽控制系统设计

大挠性充液飞行器喷气姿态控制系统设计是一个复杂和关键的问题,为了抑制挠性振动,设计形状输入信号,选取双曲正切作为平滑函数,并和Bang-Bang控制对比研究.喷气脉冲调制采用工程上易于实现的脉冲调宽（PWM）设计方法,结合积分死区原理设计脉冲宽度,对具有挠性充液动力学特性的对象进行控制,抑制了振动模态和晃动模态,实现了平滑机动控制.通过数学仿真表明,形状输入法和合理的脉冲调宽逻辑可以有效抑制大挠性飞行器姿态机动控制过程中的挠性振动.     

喷嘴为执行机构的空间飞行器基于误差四元数的非线性姿态跟踪控制

研究带喷嘴空间飞行器在姿态跟踪机动时的多轴耦合非线性姿态控制问题。姿态运动学和动力学用误差四元数描述。通过线性变换将误差四元数动力学方程转换成 4个摄动双积分系统 ,并基于此摄动双积分系统设计了开关控制器。由误差四元数及其导数构成的抛物型开关函数决定了控制器中的逻辑。文章考虑了最短的姿态捕获路径、外部干扰抑制、和不确定参数补偿问题。控制器允许力矩矩阵为非对称 ,从而使喷气执行机构的安装有更好的灵活性。由于不需要目标的加速度反馈 ,控制器可用于对机动目标的跟踪。用相平面方法分析了闭环系统的鲁棒稳定性。仿真结果验证了控制方案的可行性     

Design of dynamic dissipative compensators for flexible spacestructures

Control system design is considered for attitude control and vibration suppression of flexible space structures. The problem addressed is that of controlling both the zero-frequency rigid-body modes and the elastic modes. Model-based compensators, which employ observers tuned to the plant parameters, are first investigated. Such compensators are shown to generally exhibit high sensitivity to the knowledge of the parameters, especially the elastic mode frequencies. To overcome this problem, a class of dynamic dissipative compensators is next proposed which robustly stabilize the plant in the presence of unmodeled dynamics and parametric uncertainties. An analytical proof of robust stability is given, and a method of implementing the controller as a strictly proper compensator is described. Methods of designing such controllers to obtain optimal performance and robust stability are presented. Numerical and experimental results of application of the methods are presented, which indicate that dynamic dissipative controllers can simultaneously provide excellent performance and robustness     

Modeling and flapping vibration suppression of a novel tailless flapping wing micro air vehicle

This paper establishes and analyzes a high-fidelity nonlinear time-periodic dynamic model and the corresponding state observer for flapping vibration suppression of a novel tailless Flapping Wing Micro Air Vehicle(FWMAV), named NPU-Tinybird. Firstly, a complete modeling of NPU-Tinybird is determined, including the aerodynamic model based on the quasi-steady method, the kinematic and dynamic model about the mechanism of flapping and attitude control,combined with the single rigid body dynamic mod...     

Nonlinear control and stability analysis of spacecraft attitude recovery

The problem of automated attitude recovery of rigid and flexible spacecraft is investigated using feedback linearization control and a novel approach for generating the control error signal based on quaternion addition. The attitude and flexible dynamics equations for a class of spacecraft is presented. The resulting nonlinear and coupled equations of the system are implemented into a high-fidelity user-friendly simulation environment. The simulator is used for the investigation of attitude recovery of flexible spacecraft using the feedback linearization approach. Since the flexible spacecraft is underactuated, the input-output linearization technique was specifically used to break up the system into two distinct parts, namely 1) an external linearizable system for which a linear controller can be easily implemented, and 2) an internal nonlinear unobservable system for which the associated zero dynamics is shown to be asymptotically stable for two representative cases. The overall closed-loop stability of the flexible spacecraft is analyzed rigorously and shown to be asymptotically stable using Lyapunov's method     

太阳帆航天器动力学建模与求解

 太阳帆航天器动力学建模与求解是姿态控制与结构振动抑制的基础,具有重要的理论与工程意义。针对带有控制杆和控制叶片的太阳帆航天器,进行结构的合理简化。应用矢量力学基本原理,推导出考虑弹性振动的太阳帆航天器姿态动力学方程,再对其进行简化,分别得到基于控制叶片和控制杆的两类太阳帆航天器的姿态动力学方程,联立太阳帆支撑杆振动方程,结合非约束模态的定义对运行于超地球同步转移轨道的太阳帆航天器动力学方程进行了求解及分析,结果表明所建立的太阳帆动力学模型可准确地描述柔性太阳帆航天器的动力学特性。     

航天器有限时间输出反馈姿态控制

研究在角速度不可测时航天器的有限时间姿态控制问题。基于有限时间控制技术,提出了由修正Rodrigues参数进行姿态描述的航天器输出反馈姿态控制算法。首先设计了单个航天器的输出反馈姿态控制器,在没有角速度反馈时也能够保证航天器姿态在有限时间内调节到期望姿态。之后,设计了无需绝对角速度和相对角速度信息的多航天器分布式输出反馈姿态控制器。使用Lyapunov理论和图论,对闭环系统全局有限时间稳定性进行了严格的证明。最后对提出的控制算法进行了数值仿真,其结果验证了所设计的航天器输出反馈控制算法的可行性和有效性。     

柔性结构振动控制的多尺度特征结构配置

对复杂柔性结构系统提出了一种多尺度特征结构配置方法,以实现结构振动的多尺度主动控制。通过反馈控制力改变结构的振动模态,使系统中不同敏感性部件的受扰振动以不同的速度趋于稳定,使敏感（关键）部件的振动能量快速迁移从而保证系统高精度的性能要求,同时使非敏感（非关键）部件的振动降低到允许范围。      

STUDY ON ACTIVE CONTROL FOR A FLEXIBLE BEAM UNDER THE CONDITION OF ZERO GRAVITY

The structure/controlling coupling system is akind of dynamic feedback system in which the me-chanical load and the actuator/controller interact.Because of the influence of inertia,while the com-mon elastic structure is in rigid motion ( or largemotion) ,there inevitably exists a kind of elastic vi-bration ( or small motion) superimposed on thelarge motion.This is the phenomenon of rigid- e-lastic coupling of the motion of an elastic body.Consequently,to study the problem of the motionstabilit…     

Detumbling and reorientation maneuvers and stabilization of NASASCOLE system

The questions of rotational maneuver and vibration stabilization of the NASA Spacecraft Control Laboratory Experiment (SCOLE) system is considered. The mathematical model of the SCOLE system includes the rigid body dynamics as well as the elastic dynamics representing transverse and torsional deformations of the elastic beam connecting the orbiter and end body (reflector). For the rotational maneuver, a new control law (orbiter control law) is derived using an orbiter input torque vector. Detumbling and reorientation maneuvers of the SCOLE system are accomplished using this control law; however, this excites the elastic modes of the beam. The orbiter control law asymptotically linearizes the flexible dynamics. Using the linearized model, a linear feedback control law is designed for vibration suppression. An observer is designed for estimating the state variables using sensor outputs which are also used for the synthesis of the control law. Simulation results are presented to show that in the closed-loop system detumbling and reorientation maneuvers can be accomplished and the effect of control and observation spillover is insignificant     

宏观机敏机构的振动主动控制

研究了具有压电作动器与应变传感器的柔性连杆机构的振动主动控制问题。应用复模态理论对宏观机敏机构的动力学方程进行解耦,建立了包含系统噪声与观测噪声的受控系统状态空间表达式,并分别设计了离散LQG状态反馈控制器与离散Kalma。滤波器。宏观机敏机构的在线振动控制实验表明,柔性连杆的应变峰值降低了80％,机构的动力学性能得到了显著改善。     

高阶柔性结构系统振动控制中加权函数的选择

 总结了混合灵敏度H_∞控制算法中加权函数阵的选择方法,提出了一种新的选择加权函数矩阵的思想。以某悬臂梁为研究对象,将混合灵敏度H_∞控制方法应用在高阶柔性结构的振动主动控制问题中,完成了两输入两输出结构振动控制的控制器设计和算法仿真。结果表明,通过本方法选择加权函数矩阵,可在满足鲁棒稳定性的前提下,使外部干扰得到有效抑制,减振效果良好。