Fractional order tension control for stable and fast tethered satellite retrieval

The retrieval of a tethered satellite system is intrinsically unstable. This paper develops a new control strategy to retrieve the tethered satellite system stably and quickly using the fractional order control theory. The governing equation of the tethered satellite system and classic linear feedback tension control law were first reviewed and examined as a benchmark. Then, a new fractional order tension control law has been to avoid the tethered satellite winds around the main satellite near the end of retrieval by existing integer order tension control laws. The newly proposed control law has been discretized and implemented by the Laplace transform and Tustin operator. Unlike the existing integer order control laws, which are based on the feedback of current state and memoryless, the fractional order control law has the memory of previous states and thus controls the tether retrieval more smoothly while maintaining the retrieving speed. The effectiveness and advantage of the new fractional order tension control law is demonstrated numerically by comparing with its integer order counterpart. The results show that the new control law not only retrieves the subsatellite without winding around the main satellite, but also provides a better control performance with smaller in-plane libration angles.     

整星零动量小卫星偏置飞行姿态解耦控制

研究了采用反作用飞轮为执行机构的整星零动量卫星绕Ｘ轴大角度偏置飞行模式的姿态解耦控制问题。首先给出卫星姿态运动学和动力学模型，然后在控制作用中引入非线性项对姿态动力学模型线性化，进一步对线性模型进行状态反馈解耦和极点配置。最后，给出了数学仿真算例和仿真结果。     

Attractive manifold-based adaptive solar attitude control of satellites in elliptic orbits

The paper presents a novel noncertainty-equivalent adaptive (NCEA) control system for the pitch attitude control of satellites in elliptic orbits using solar radiation pressure (SRP). The satellite is equipped with two identical solar flaps to produce control moments. The adaptive law is based on the attractive manifold design using filtered signals for synthesis, which is a modification of the immersion and invariance (I&I) method. The control system has a modular controller–estimator structure and has separate tunable gains. A special feature of this NCEA law is that the trajectories of the satellite converge to a manifold in an extended state space, and the adaptive law recovers the performance of a deterministic controller. This recovery of performance cannot be obtained with certainty-equivalent adaptive (CEA) laws. Simulation results are presented which show that the NCEA law accomplishes precise attitude control of the satellite in an elliptic orbit, despite large parameter uncertainties.     

BTT导弹的最优导引规律

本文假定自动驾驶仪及弹体的动态特性为一阶环节,考虑了目标机动和导弹的姿态,用工作点线化方法,得到了以脱靶量和控制总能量为最小的二次型性能指标及以法向加速度和滚动角速度为控制变量的BTT导弹的最优导引规律。用简化模型进行了数值仿真计算,结果表明所推导的导引规律,可以拦截机动目标,具有良好的导引精度,有一定的工程实用价值。     

A fault-tolerant magnetic spin stabilizing controller for the JC2Sat-FF mission

This paper presents a spin-stabilization algorithm for the Japan Canada Joint Collaboration Satellite-Formation Flying (JC2Sat-FF) mission using magnetic actuation only. It is shown that under a reasonable assumption on the Earth’s magnetic field, the resulting control law is asymptotically stabilizing for an axisymmetric spacecraft, even under the failure of up to two magnetic torque rods and magnetic torque rod saturation. It is also stabilizing under quantization. The satellite motion remains stable under control outages, meaning that the error can be reduced by implementing the control intermittently. The effectiveness of the control law is demonstrated using a high fidelity attitude control system simulator for the JC2Sat-FF satellite.     

基于Riccati方程解的再入飞行器制导律设计

提出一种再入飞行器纵向制导律设计方法。首先对纵向运动方程沿着实际轨道线性化,然后利用线性最优调节器原理设计制导律。在每个制导周期内求解代数R iccati方程,利用其正定解构造反馈控制律,与标准轨道的控制量叠加后形成全量控制,用于实际再入轨道的制导。仿真结果表明,所设计的制导律对再入初始偏差具有较强的鲁棒性,同时它也能较好地补偿由于气动参数和大气密度摄动造成的航程误差,从而保证落点精度。     

一种非线性最优导弹制导律

以质点飞行器的非线性运动方程为基础，研究了导弹拦截目标问题。运用线化变换理论和线性二次型微分对策理论，导出了导弹和目标的最优控制策略，对导弹最优策略进行了综合分析，给出了一种可以实时实现的最优制导律。并以某型中远程地－空导弹的气动数据和数学模型为基础，进行了全弹道拦截数字仿真，仿真结果表明：该制导律在减少终端脱靶量方面比空间比例导引的效果好。     

Estimation of residual microaccelerations on board an artificial earth satellite in the monoaxial solar orientation mode

The mode of monoaxial solar orientation of a designed artificial Earth satellite (AES), intended for microgravitational investigations, is studied. In this mode the normal line to the plane of satellite’s solar batteries is permanently directed at the Sun, the absolute angular velocity of a satellite is virtually equal to zero. The mode is implemented by means of an electromechanical system of powered flywheels or gyrodynes. The calculation of the level of microaccelerations arising on board in such a mode, was carried out by mathematical modeling of satellite motion with respect to the center of masses under an effect of gravitational and restoring aerodynamic moments, as well as of the moment produced by the gyrosystem. Two versions of a law for controlling the characteristic angular momentum of a gyrosystem are considered. The first version provides only attenuation of satellite’s perturbed motion in the vicinity of the position of rest with the required velocity. The second version restricts, in addition, the increase in the accumulated angular momentum of a gyrosystem by controlling the angle of rotation of the satellite around the normal to the light-sensitive side of the solar batteries. Both control law versions are shown to maintain the monoaxial orientation mode to a required accuracy and provide a very low level of quasistatic microaccelerations on board the satellite.     

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。     

绳系卫星的一种新型高阶滑模控制器设计

针对绳系卫星轨道转移控制问题,给出绳系卫星在轨机动模型并将面内运动处理为典型的欠驱动形式;为实现对面内摆角的跟踪控制,定义滑模面并建立积分链系统,设计一种新型高阶滑模系绳张力控制律,得到无抖振控制量,这种控制律在保证高精度跟踪的前提下,有效避免了控制抖振现象;关于滑模面的高阶滑模运动建立后,在平衡点对闭环系统线性化,根据劳斯判据,闭环系统在平衡点是局部渐近稳定的。最后,通过仿真分析,验证了所提出控制算法的有效性。     

编队飞行小卫星相对姿态控制研究

以四元数作为定位参数对编队飞行小卫星进行相对姿态控制。首先给出了以误差四元数作为反馈量 ,基于参考卫星的相对姿态控制律 ,其次 ,研究了由若干颗相同卫星组成的编队卫星 ,在卫星姿态达到指定的方位时 ,相互之间也要满足一定要求的相对姿态控制律。最后进行了仿真计算 ,说明了两种相对姿态控制的有效性和可行性     

Stochastic control of pitch motion of satellites using stabilizing flaps

The modelling, analysis and synthesis of an attitude control system for low orbit artificial satellites using stabilizing flaps are presented. The function of the system is to maintain the satellite aligned with the local vertical. The aerodynamic forces on the satellite are modelled assuming free molecular flow using the kinetic theory of gases. The control system development is considered through the application of stochastic control concepts. The satellite motion is described by the equations of motion based on Newtonian formulation. Starting from the separation principle, a sequential procedure is developed in which the state estimation and control problems are handled simultaneously. State estimate is provided by Kalman filter using the information about the position of the satellite and of the flaps. The controller acts on satellite in real time, and the stabilizing flaps are the only control elements.     

Spin-axis pointing of a magnetically actuated spacecraft

Attitude regulation proves to be a challenging problem, when magnetic actuators alone are used as attitude effectors, since they do not provide three independent control torque components at each time instant. In this paper a rigorous proof of global exponential stability is derived for a magnetic control law that leads the satellite to a desired spin condition around a principal axis of inertia, pointing the spin axis toward a prescribed direction in the inertial frame. The technique is demonstrated by means of numerical simulation of a few example maneuvers. An extensive Monte Carlo simulation is performed for random initial conditions, in order to investigate the effect of changes in control law gains.     

空间站伴随卫星的相对运动控制

研究了空间站伴随卫星在绕飞和回收阶段的相对位置与速度控制。基于C-W方程提出了伴随卫星的脉冲控制和滑模-开关控制两种绕飞控制方法,给出了控制模型并进行了比较。另设计了用于伴随卫星回收控制的模糊控制器,给出了模糊控制规则。仿真结果表明:两种绕飞控制法简便易行,适于工程应用。与一般模糊控制方法相比,此控制器利用了航天器自身的动力学特性,可使燃料更省。     

轨道机动的时间-能量综合最优控制

围绕航天器快速精确轨道机动问题,探讨在持续小推力作用下,航天器轨道机动中时 间和能量综合最优控制的技术和方法。基于Pontryagin最小(大)值原理,针对目标轨道为平 面和空间椭圆的情况,推导了时间-能量综合最优控制的Hamilton正则方程组、终端条件 、横截条件和最优控制的表达式,应用数值方法求解正则微分方程组的两点边值问题,得到 了最优控制的数值解,包括最小时间、最小能量、最优轨道、最优控制时变曲线和最优反馈 控制曲线等,实现轨道机动最优控制的精确数值模拟。从数值结果的对比分析中得出了一些 有意义的结论,可供工程实际参考。
     

挠性航天器控制系统的最优综合

本文研究了挠笥航天器控制系统的最优综合设计问题，给出了系统最优时控制律和执行机构与传感器配置应满足的非线性方程，而且在这一设计过程中通过使用特征值灵敏度约束，明显降低了控制系统对执行机构和传感器安全误差的敏感性，克服了轨迹敏感性约束和单纯使用特征值灵敏度指标的不足。     

Spacecraft attitude maneuver using two single-gimbal control moment gyros

In this paper, arbitrary rest-to-rest attitude maneuver problems for a satellite using two single-gimbal control moment gyros (2SGCMGs) are considered. Although single-gimbal control moment gyros are configured in the same manner as the traditional pyramid-array CMG, only two CMGs are assumed to be available. Attitude maneuver problems are similar to problems involving two reaction wheels (RWs) from the viewpoint of the number of actuators. In other words, the problem treated herein is a kind of underactuated problem. Although 2SGCMGs can generate torques around all axes, they cannot generate torques around each axis independently. Therefore, control methods designed for a satellite using two reaction wheels cannot be applied to three-axis attitude maneuver problems for a satellite using 2SGCMGs. In this paper, for simplicity, maneuvers around the x- and z-axes are first considered, and then a maneuver around the y-axis due to the corning effect resulting from the maneuver around the x- and z-axes is considered. Since maneuvers around each axis are established by the proposed method, arbitrary attitude maneuvers can be achieved using 2SGCMGs. In addition, the maneuvering angles around the z- and x-axes, which are required in order to maneuver around the y-axis, are analytically determined, and the total time required for maneuvering around the y-axis is then analyzed numerically.     

Attitude dynamics of a pendulum-shaped charged satellite

In this paper, we investigate the possibility of the use of the Lorentz force, which acts on charged satellite when it is moving through the magnetic field, as a means of satellite attitude control. We first derive the equations of attitude motion of charged satellite and then investigate the stability of the motion. Finally we propose an attitude control method using the Lorentz force. Our method requires moderate charge level for future Lorentz-augmented satellite.     

基于大气阻力实时辨识的Drag-free卫星最优控制研究

研究了基于大气阻力实时辨识的Drag-free卫星最优控制。将Drag-free卫星和其内部的验证质量等效为两颗内、外编队卫星并建立动力学方程,推导了基于卫星和验证质量的相对运动状态观测值反演大气阻力的算法。建立了状态最优调节器模型,采用动态规划求解经典的二次型最优控制。对低轨圆轨道Drag-free卫星的仿真计算结果表明方法的求解精度较高,计算消耗较小。