欠驱动刚体航天器姿态运动规划的遗传算法

研究欠驱动刚体航天器姿态的非完整运动规划问题．航天器利用3个动量飞轮可以控制其姿态和任意定位,当其中一轮失效,航天器姿态通常表现为不可控．在系统角动量为零的情况下,系统的姿态控制问题可转化为无漂移系统的运动规划问题．基于优化控制理论,提出了求解欠驱动刚体航天器的姿态运动控制遗传算法,并且数值仿真表明：该方法对欠驱动航天器姿态运动的控制是有效的．     

欠驱动航天器双飞轮—单喷气姿态最优控制原理及方法

欠驱动航天器的姿态控制能够增强航天器的可靠性.本文针对欠驱动航天器姿态控制, 从喷气姿态阻尼的角动量等效原理出发, 推导脉宽调制公式, 得到燃料消耗最小时给定姿态、非给定姿态两种情况下的喷气最优组合方案.同时, 为了实现喷气全局最优, 提出欠驱动飞轮姿态控制策略, 实现了运动航天器机动至预期姿态.进一步分析欠驱动飞轮航天器的姿态控制原理及稳定性, 提出了共面双飞轮-单喷气的配置方案, 通过双飞轮组合稳定航天器的角速度, 使得航天器到达预期姿态机动时燃料全局最省.结合绕两个旋转轴的姿态机动路径规划方法, 通过姿态机动时序关系的实时分配可实现航天器姿态机动与稳定控制.最后, 通过航天器姿态控制仿真和对比分析, 发现共面双飞轮-单喷气的欠驱动姿态阻尼及姿轨控制方案能够在较少硬件配置下实现对航天器的姿态控制, 且消耗燃料最少.     

基于飞轮的欠驱动航天器姿态控制器设计

在以飞轮作为姿态控制执行机构的航天器中,如果部分飞轮发生故障而使得航天器欠驱动时,姿态控制性能会急剧下降.本文对两个匕轮的刚性航天器,研究了姿态控制问题.在零动量的假设下,利用Backstepping方法,为欠驱动姿态控制系统设计了一个新型的姿态控制器.设计过程分两步进行:首先,根据姿态运动学模型,设计出可使航天器姿态全局渐近稳定的控制角速率;然后,根据姿态动力学模型,得到使航天器姿态全局渐近稳定的控制力矩.该控制器为非连续控制器,可使航天器姿态误差全局一致渐近收敛为零,并使系统具有良好的动态性能.计算机仿真表明,本文所设计出的控制器是可行的.     

基于反步法与动态控制分配的航天器姿态机动控制

针对存在未知转动惯量与外部干扰的航天器姿态机动控制问题,提出了一类基于反步法的鲁棒自适应控制器,并利用Lyapunov方法分析了系统的稳定性;考虑到作为执行机构的反作用飞轮存在冗余性,进一步提出了一种基于约束最优二次规划的动态控制分配算法来实现指令到期望飞轮的指令分配,克服传统伪逆法难以考虑飞轮动态特性、最大力矩等物理约束,并能有效的抑制姿态敏感器的测量噪声和测量异常值,实现控制力矩的平稳性.最后,将本文提出的控制方案应用于某型轮控刚体航天器的姿态机动任务中,仿真结果验证了本文提出方法的可行性、有效性.     

姿态变化一致有界的姿态稳定控制器设计

针对航天器姿态稳定控制问题, 设计一种迭代学习姿态控制器. 将连续非周期运动的姿态跟踪过程分解为队列重复运动, 采用前一周期的姿态跟踪误差修正后一周期的控制输入, 分别对未知参数和干扰构建有界迭代学习律, 给出航天器姿态稳定控制器, 并从理论上分析了闭环系统的渐近稳定性和姿态跟踪误差的一致有界性. 通过在轨捕获非合作目标过程中航天器姿态跟踪控制问题的数值仿真, 验证了迭代学习控制器的鲁棒性和强抗干扰性.

     

欠激励航天器姿态翻滚抑制的滑动控制

本文讨论了以非完整配置的单向推力器系统为执行机构时，刚性航天器姿态翻滚的镇定问题，一般来说，非完整的单向推力器系统在产生两维控制力矩时，常会在控制产生非零量。本文研究了一类特殊的有扰量情况－共面扰量降维完整配置时则性航天器姿态翻滚的镇定问题，通过状态变换将共面扰量控制问题转化为另一系统的零扰量控制问题，基于滑动控制律实现了姿态角速度的渐进镇定，仿真结果证实了所述方法的有效性。     

有向切换拓扑条件下多航天器分组姿态协同控制

针对有向切换拓扑条件下多航天器分组姿态协同控制问题,提出一种基于变量代换和矩阵分解的控制方法.首先,给出分组情况下系统Laplacian矩阵特征值的性质,并对航天器姿态模型进行变量代换,将非线性系统的分组姿态协同问题转化为线性系统的分组一致问题;然后,通过分解Laplacian矩阵,将分组一致问题转化为线性切换系统的稳定性问题,从而通过Lyapunov稳定性理论进行分析,给出系统拓扑的最小驻留时间;最后,对包含两个分组的系统进行仿真,结果表明了所提出控制方法的有效性.     

CG伪谱法在欠驱动航天器姿态机动最优控制中的应用

使用Chebyshev-Gauss(CG)伪谱法研究带动量轮和推力器的欠驱动航天器姿态最优控制问题.基于欧拉姿态角和动量矩定理导出两类航天器姿态运动模型,采用Clenshaw-Curtis积分近似得到性能指标函数中的积分项,应用重心拉格朗日插值逼近状态变量和控制变量,将连续最优控制问题离散为具有代数约束的非线性规划(NLP)问题,通过序列二次规划(SQP)算法求解.数值仿真结果表明,对两类欠驱动航天器的姿态机动最优控制均能达到设计控制要求,得到的姿态最优曲线与验证得到的曲线几乎完全重叠.     

飞轮安装偏差的过驱动航天器有限时间姿态控制

针对反作用飞轮安装存在偏差的过驱动航天器姿态跟踪问题, 提出一种有限时间姿态补偿控制策略. 通过设计自适应滑模控制器保证实现对不确定性转动惯量与外部干扰的鲁棒控制, 同时实现对飞轮安装偏差的补偿控制, 并应用Lyapunov 稳定性理论证明了该控制器能够在有限时间内实现姿态跟踪控制. 最后, 将该控制器应用于某型航天器的姿态跟踪控制, 仿真结果验证了所提出方法的有效性.     

非合作交会对接的姿态和轨道耦合控制

航天器与非合作目标进行交会对接时,要求控制器能保证二者不发生碰撞.然而,针对航天器非合作交会对接中的避碰问题,还没有成熟的控制策略.本文以服务航天器体坐标系为参考坐标系建立航天器相对姿态轨道耦合运动模型,利用滑模控制设计了一种姿态轨道耦合控制器实现交会对接.通过利用人工势函数理论和基于蔓叶线的虚拟障碍物模型,控制器可以严格地保证服务航天器运行在安全区域内部,避免与目标航天器碰撞.通过李雅普诺夫理论可以证明系统在控制器的作用下是渐近稳定的.数值仿真进一步说明了所提出的控制器的有效性.     

Nonlinear attitude and shape control of spacecraft with articulatedappendages and reaction wheels

Three-dimensional attitude and shape control problems are studied for a class of spacecraft with articulated appendages and reaction wheels. A number of special cases of such attitude control problems have been studied previously. We provide a unified formulation and a comprehensive set of results for planning of attitude and shape maneuvers of a spacecraft, assuming that joint actuators and reaction wheels provide a sufficiently rich set of inputs. The development is based on a nonlinear, drift-free, control model that characterizes the attitude and shape change dynamics, assuming zero angular momentum of the system. Controllability results are presented for the general case, and specialized results are identified for interesting multibody spacecraft configurations. These results are made explicit by providing computable formulas for the Lie brackets in terms of the spacecraft geometry, mass properties, and shape. Constructive motion planning approaches are described to achieve spacecraft attitude and shape change maneuvers. A distinct feature of these approaches is that they require only simple computations, as is desirable for online implementation. Emphasis is given to the interplay between the shape change dynamics and the attitude change dynamics in achieving the maneuver planning objectives     

Momentum unloading excessive reaction-wheel system of a spacecraft

Wide use of electromechanical actuators in attitude control systems of spacecraft is intimately connected with improvement of these actuators using unloading methods—relieving excessive momentum. As applied to electromechanical actuators of the type of reaction wheels, the problem of unloading momentum for the case of excessive flywheel system is studied. The key feature of the work is the use of arbitrary parameters in the general solution of the undefined system of linear algebraic equations as additional control parameters. For the minimum excessive flywheel system and magnetorquers of the unloading system creating the additional external moment, control algorithms are synthesized which guarantee asymptotic stability of the zero solution to model equations describing the flywheel motion. The performance of the proposed algorithms and specific features of the process of unloading momentums of the flywheels are studied, as exemplified by the controlled motion of the spacecraft in stabilization of the regime of three-axial orbital orientation.     

A basic attitude instability of spacecraft with imperfect momentum wheels

On a few occasions, spacecraft with momentum wheels have exhibited an undesired, and at first unexplained, attitude wobble. The present paper suggests a possible cause and also suggests that with the present trend in momentum wheel design using magnetic wheel bearings, the problem may get worse.A momentum wheel in practice will run in bearings which comply to the loads placed on them, to a very tiny extent. The compliance will be reduced to zero by the bearing reaction forces precessing the wheel back to its undeflected position. However, in doing so the combination of the very small compliance angle with the angular velocity of the spacecraft will cause an energy flow which will enhance the nutation of the spacecraft which caused the deflection in the first place.     

Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models

In this paper, we study the attitude control problem for spacecraft with gas jet or momentum exchange actuators, using the recent nonlinear geometric control theory. We give necessary and sufficient conditions for controllability of the system in the case that the gas jet actuators yield one, two, or three independent torques. In the case of momentum exchange devices, controllability is studied with three independent actuators, and controllability is shown to be impossible with fewer devices. The former conditions with gas jet actuators are presented in three equivalent ways, and an equivalence is established with an earlier condition by Baillieul. The local controllability problem is also studied in the case of gas jet actuators yielding two independent torques. Using these results, an algorithm stabilizing the controllable system around an equilibrium state and trajectory is outlined, as proposed by Hermes. In the situations considered, however, the linearized systems are not controllable.     

Attitude-based dynamic and kinematic models for wheels of mobile robot on deformable slope

Deformable slope is a type of terrain that wheeled mobile robots (WMRs) and ground unmanned vehicles (GUVs) may have to traverse to accomplish their mission tasks. However, the associated terramechanics for wheels with arbitrary posture is rarely studied. In this paper, based on wheel attitude, dynamics of the wheel–terrain interaction for a rigid wheel on deformable slope is investigated. Through introducing the angular geometry of wheel attitude into terramechanics theory, a generalized dynamic model is developed, involving two inclination angles of slope and three attitude angles of wheel steering axis. Two representative cases are studied: the wheel runs straight forward and perpendicular to the slope, and the wheel is in a steering maneuver with an inclined steering axis. A generalized kinematic model for wheel–terrain contact point and wheel center is also provided, which analytically explicates that trajectory of wheel motion is coupled with wheel attitude while driven by angular rates. The proposed attitude-based models are valid for arbitrary wheel–terrain geometry and can lead to control purpose directly. Effectiveness of the models is confirmed by simulating the influences from attitude to wheel mechanics and motion.     

Time-optimal reorientation for rigid satellite with reaction wheels

This article introduces a time-optimal reorientation manoeuvre controller with saturation constraints on both reaction wheels’ torques and angular momentum. The proposed control scheme consists of two parts. The first part is an open-loop time-minimum reorientation trajectory generated by the Legendre pseudospectral method. Actuator dynamics, saturations on control torques and angular momentums of reaction wheels are taken into account in generating the open-loop optimal trajectory. The second part is a closed-loop tracking control law to track the optimised reference trajectory based on attitude error dynamics with reaction wheel dynamics. Numerical simulations show that reaction wheel dynamics play an important role in attitude manoeuvres. The proposed controller performs better for rest-to-rest reorientation manoeuvre than other existing methods.     

Switched Modeling and Task–Priority Motion Planning of Wheeled Mobile Robots Subject to Slipping

This study is devoted to the modelling and control of Wheeled Mobile Robots moving with longitudinal and lateral slips of all wheels. Due to wheel slippage we have to deal with systems with changing dynamics. Wheeled Mobile Robots can be thus modeled as switched systems with both autonomous switches (due to wheel slippage) and smooth controls (due to control algorithm). It is assumed that the slipping is counteracted by the slip reaction forces acting at contact points of the wheels with the ground. A model of these reaction forces, borrowed from the theory of automotive systems, has been adopted and included into the Lagrangian dynamic equations of the robot. A framework for designing motion planning schemes devoid of chattering effects for systems with changing dynamics is presented. A task–priority motion planning problem for wheeled mobile robots subject to slipping is addressed and solved by means of Jacobian motion planning algorithm based on the Endogenous Configuration Space Approach. Performance of the algorithm is presented in simulations of the Pioneer 2DX mobile platform. The robot dynamics equations are derived and 4 variants of motion are distinguished. The motion planning problem is composed of two sub-tasks: robot has to reach a desired point in the task space (proper motion planning) and the motion should minimize either the control energy expendinture or the wheel slippage. Performance of the motion planning algorithm is illustrated by a sort of the parking maneuver problem.     

Steady motions of gyrostat satellites and their stability

The steady motions of a rigid body rotating about its maximum principal axis of inertia, while the radius vector lies in the direction of its minimum principal axis of inertia, is known to be stable in the sense of Lyapunov. Due in part to their stowed configuration in launch vehicles, however, satellites typically have an initial rotation about their minimum principal axis of inertia. Such rotation may be unstable in the presence of some dissipations. This paper investigates the effect of momentum wheels on the stability of steady motions. It is proved that the momentum wheels increase the effective moment of inertia of the gyrostat-satellite system about some desired axis. Stability of the steady rotation about the desired axis can be established only for the case when the moment of inertia of the axis aligned with the radius vector is smaller than that of the axis of linear momentum. A new set of stability criteria is obtained which includes the effects of the coupling between the orbital and attitude dynamics and may be useful in the design of attitude control systems for large spacecraft in low Earth orbit