Asymptotically Stable Motions of a Gyro in a Spinning Vehicle

An analysis of the motion of a single-axis rate gyroscope mounted in a space vehicle which is spinning with uncertain constant angular velocity xz about the spin axis of the gyro is presented. The nonlinearity in the equation of motion of the gimbal is retained. Using the Lyapunov approach, regions are obtained in the k-xz plane where k is the torsional spring constant, for asymptotic stability and for global asymptotic stability, and an estimate of the region of stability in state space is presented. Analytical relations for the selection of the gyro parameters are derived.     

Stability of Gyro with Harmonic Nonlinearity in Spinning Vehicle

A stability analysis of a single-axis rate gyroscope mounted in a space vehicle which is spinning with uncertain angular velocity ?z about the spin axis of the gyro is presented. The complete nonlinear equation of motion, which includes the fundamental and second harmonic nonlinear terms, arising due to ?z, is considered. For time-varying ?z(t), using the circle criterion, it is shown that the gimbal motion is globally asymptotically stable if the Nyquist plot of the linear transfer function of the gyro lies in the interior of a certain disk. For the case of uncertain constant ?z, using the Lyapunov approach, conditions for global asymptotic stability (GAS) and asymptotic stability are derived. Stable regions in parameter space of the gyro and state space are obtained. Analytical relations for the selection of gyro parameters are derived.     

Gyro Misalignment and Encoder Quantization Effects During Multi-Axis Evaluation of Strapdown Gyros

This paper presents a quantitative discussion of two error sources which affect the accuracy of data comparison between instrument outputs and reference angle computations during multi-axis evaluation of strapdown gyros. The error due to misalignment of gyro input axes is formulated in terms of closed-form solutions for typical relationships between the three table gimbal rotation histories. If the angular positions of the table gimbal axes are measured by shaft encoders, then any measurement has an uncertainty in the range from plus to minus one-half of the quantization level. It is shown that the effect of encoder quantization error on the computer transformed angles in the bodyfixed coordinate system can be divided into two parts: the initial uncertainty of the zero positions of the gimbals before table motion is begun, and all subsequent error contributions during table test. Typical data for gyro misalignment and encoder quantization error effects are presented.     

A new steering approach for VSCMGs with high precision

A new variable speed control moment gyro (VSCMG) steering law is proposed in order to achieve higher torque precision. The dynamics of VSCMGs is established, and two work modes are then designed according to command torque:control momentum gyro (CMG)/reaction wheel (RW) hybrid mode for the large torque case and RW single mode for the small. When working in the CMG/RW hybrid mode, the steering law deals with the gimbal dead-zone nonlinearity through compensation by RW sub-mode. This is in contrast to the conventional CMG singularity avoidance and wheel speed equalization, as well as the proof of definitely hyperbolic singular property of the CMG sub-mode. When working in the RW single mode, the motion of gimbals will be locked. Both the transition from CMG/RW hybrid mode to RW single mode and the reverse are studied. During the transition, wheel speed equalization and singularity avoidance of both the CMG and RW sub-modes are considered. A steering law for the RWs with locked gimbals is presented. It is shown by simulations that the VSCMGs with this new steering law could reach a better torque precision than the normal CMGs in the case of both large and small torques.     

基于扩张状态观测器的DGMSCMG框架伺服系统振动抑制方法

针对带有谐波减速器的双框架磁悬浮控制力矩陀螺(DGMSCMG)框架系统存在较低频率谐振点的问题,提出了一种基于扩张状态观测器(ESO)振动抑制的控制方法。在谐波减速器的输入端和输出端分别设计三阶扩张状态观测器,通过电机及负载端的角位置信号不但能够估计电机和负载的角速率,而且可以比较准确地估计到扭转刚度的非线性变化及外部扰动力矩引起的综合扰动,通过反馈及前馈补偿对综合扰动进行抑制。设计的基于扩张状态观测器的控制器抑制了框架伺服系统的振动、提高了框架的速率输出精度。仿真及实验结果表明了该控制算法是有效的并具有较强的鲁棒性。     

采用框架角受限控制力矩陀螺的航天器姿态机动控制

以框架角受限的金字塔构型控制力矩陀螺(CMG)为执行机构,研究了航天器欧拉姿态机动控制问题.考虑控制力矩及航天器角速度约束等因素,对已有的姿态机动控制律进行了改进,使其能实现绕欧拉轴的大角度姿态机动.同时考虑力矩陀螺框架角受限情况,通过适当加入空转指令对框架角进行重构,设计了复合控制形式的控制力矩陀螺操纵律,并通过过渡...     

Gyro Motion Boundedness under Uncertain Angular Acceleration about Vehicle Output Axis

An analysis of the motion of a single-axis rate gyroscope mounted in a space vehicle which has uncertain time-varying acceleration and deceleration ?x(t) about the output axis of the gyro is presented. Using a Lyapunov function, a condition for boundedness of the gyro motion is derived. It is shown that by a proper selection of the parameters of the gyro, its motion can be forced to remain in a small neighborhood (called region of ultimate boundedness) of the origin in ? - ? plane after a certain finite interval of time for any bounded uncertain ?x(t). Analytical relations for the selection of gyro parameters to keep the error caused in the measurement of the input rate due to ?x within desirable limits are derived.     

大型航天器SGCMG系统基于模糊决策的操纵律设计研究

作为航天器制导、导航和控制系统的执行部件，单框架控制力矩陀螺是较为理想的大型航天器姿控系统的选择，但是单框架控制力矩陀螺系统（ＳＧＣＭＧ）存在严重的奇异现象，增加了操纵律的设计与开发的难度。本文对ＳＧＣＭＧ系统的奇异性进行了分析，利用模糊决策的思想确定了奇异测度，根据奇异测度梯度搜索法设计了基于模糊决策的ＳＧＣＭＧ系统操纵律。仿真试验表明该方法有效地保证了系统能够回避可避的奇异状态，为大型航天器操纵律设计提供了新的思路。     

Gyro Motion Boundedness under Uncertain Vehicle Spin and Acceleration

An analysis is presented of the motion of a single axis rate gyroscope mounted in a space vehicle, which is simultaneously accelerating and spinning about the output and spin axis, respectively, of the gyro. The time-varying acceleration and deceleration ?x(t) and the spin rate ?z(t) of the vehicle are unknown but bounded functions of time t. It is shown that the motion of the gyro remains bounded if the bound ?*2 on the uncertainty in ?z(t) does not exceed some threshold ?*2 and that this threshold depends on the various parameters of the gyro. Furthermore, by a proper selection of the gyro parameters, its motion can be forced to remain in a small neighborhood (called region of ultimate boundedness) of the origin in ?-? plane after a certain finite interval of time for any bounded uncertain ?x(t) and ?z(t). Analytical relations are derived for the selection of gyro parameters to keep the error caused in the measurement of the input rate due to ?x and ?z within any given limit.     

光纤陀螺惯导稳定平台与旋转调制方法

光纤陀螺仪在随机误差方面表现出极佳的性能优势,但受限于其标度因数不理想的现实。针对航海用长航时、高精度光纤陀螺惯导系统的使用需求,设计了基于光纤陀螺数字信号实现载体三维角运动隔离的同时完成惯性测量装置的旋转调制功能,可有效减小光纤陀螺标度因数误差与载体运动角速度的耦合误差,同时充分发挥光纤陀螺随机游走小的精度优势。理论仿真验证了光纤惯导稳定平台加旋转调制方法的优越性和可行性,为光纤陀螺惯导系统在高精度导航领域中的应用提供了技术基础。     

Analysis of dynamics of a passive line-of-sight stabilization system with four-axis gimbal suspension

A mechanical model of the line-of-sight stabilization system for the optical device mounted on a movable carrier vehicle is considered. The nonlinear Lagrange equations of motion for a four-axis gimbal suspension are derived. Requirements on design and parameters for the passive line-of-sight shock absorption system of the optoelectronic payload are worked out.     

Precise Attitude Stabilization of a Large Orbiting Telescope Coupled to a Crew Compartment

Computer simulation results are presented for the planar equations of motion of an attitude-stabilized orbiting telescope passively coupled to a manned service module. This coupling is provided through a set of soft springs and a two-axis gimbal aligned with the telescope center of mass. Principal nonlinearities in the suspension system and the telescope control system are included. The simulation indicates preliminary nary feasibility of this operational mode.     

陀螺动力学系统计算机仿真

推导出了适于计算机仿真的陀螺完整运动方程式并给出了仿真曲线,可看出在外力矩作用下陀螺仪从起动到稳定这一段时间内的转动角速度和转角的变化规律。通过降低陀螺转速并减小外力矩,使无锁紧机构的陀螺仪消除起动时的剧烈抖动而达到平稳起动的目的。     

An Algorithm Providing All-Attitude Capability for Three-Gimballed Inertial Systems

This paper describes an algorithm which protects a three-gimballed inertial system against gimbal lock while preserving the inertial reference. One sample of the gimbal angles and gimbal angle rates for a torque-free dynamic vehicle provides the information needed to determine whether or not gimbal lock will occur at some later time. When gimbal lock is imminent, the inertial platform is commanded to a new "safe" orientation, and knowledge of the inertial reference is updated accordingly. By iterating this process gimbal lock protection is extended to a vehicle subjected to torques. The results of digital simulations using the Apollo Primary Guidance, Navigation and Control System as a model are presented for various dynamic situations.     

风洞虚拟飞行模型机与原型机动力学特性分析

在低速风洞虚拟飞行试验系统中,采用三自由度（3-DOF）球铰支撑动力学相似缩比飞机模型,在气动力矩作用下试验模型可绕质心自由转动。这种带约束的运动与具有六自由度（6-DOF）的真实大气飞行存在差别,鉴于此,对各影响因素逐个剖离并进行了数值模拟和对比分析。结果表明：位移约束使两者间的动力学特性产生较明显的差异,缩比的影响符合相似准则规律,机构摩擦、模型重心与支撑点不重合影响较小,常值干扰力矩对模型的初始响应有一定影响。对比分析结果可以用于指导风洞虚拟飞行试验的开展,并有助于完善风洞虚拟飞行试验技术及其拓展应用。     

大载荷摆动情况下飞行器姿态控制研究(英文)

天文观测卫星的主敏感器安装在一个具有二自由度、并直接与卫星平台相连的万向支架上。因敏感器的质量和长度不能忽略,故卫星姿态及其质心位置、转动惯量等结构参数将因敏感器与卫星间的角运动而发生改变,因此大载荷摆动情况下的飞行器姿态控制是本文研究的重点。本文根据动量矩定理推导出了存在内部相对运动的二刚体动力学模型,卫星系统的转动惯量将由该模型确定。由卫星的当前及其期望姿态四元数,构建出描述卫星姿态偏差的拟欧拉角;对拟欧拉角进行规范化处理,以保证三通道所对应的拟欧拉角分量分别由控制力矩的3个分量所控制。之后,提出了基于拟欧拉角的姿态开关控制律,该控制律可保证三通道所对应的相轨迹可沿开关线滑向坐标原点(其期望状态)。仿真结果表明,即使是在结构不对称和三通道严重耦合的情况下,该控制律也能保证卫星姿态可以得到较好的控制。     

水平风洞中开展飞机尾旋特性研究的理论分析

以某飞机尾旋特性为例,在水平风洞中利用具有3自由度的模型支撑装置开展飞机尾旋特性研究并进行理论分析;将基于3自由度装置的建模仿真结果与传统的6自由度飞行仿真、立式风洞尾旋试验结果进行对比,结果显示,三者具有较好的一致性;利用3自由度支撑装置开展飞机尾旋特性研究还可获得飞机尾旋进入和发展阶段的运动参数,可实现尾旋进入、发展及改出的全过程模拟。同时,研究了支撑装置曲杆惯量、机构摩擦和质心偏离等因素对飞机尾旋特性试验结果的影响,结果表明在曲杆及飞机模型设计时,需严格控制曲杆惯量和质心偏移,机构摩擦对试验结果的影响不大。     

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.     

惯性平台离心试验的力学分析

惯性平台离心试验是平台例行试验项目之一。本文叙述:(1)惯性平台组合的运动分解;(2)惯性力的分布;(3)惯性力对外框架轴之矩Mx的表达式;(4)Mx与离心机臂长成反比;(5)达朗贝尔原理的应用。     

Calibration of Precision Gimbaled Pointing Systems

Corrections of pointing data provided by gimbal readout transducers can be used to compensate for the errors that arise because of gimbal misalignments and inaccuracies in transducer readout. This paper reviews the sources of pointing error in precision gimbaled pointing systems and describes the techniques for determining them. In particular, a method of calibration that is suitable for systems in which constraints on gimbal travel preclude the use of conventional calibration procedures is presented, and the pointing readout accuracy that can be achieved by this method is evaluated.