A heuristic design method for attitude stabilization of magnetic actuated satellites

In this paper a heuristic design strategy for stabilizing the satellite attitude has been proposed. It is assumed that the satellite is actuated by a set of mutually perpendicular magnetic coils. Using well-known Lyapunov direct stability method it is shown that the proposed controller causes to a global asymptotic stable system for all near polar orbits. The design procedure is based on analyzing of the conceptual effects of magnetic coils on the satellite attitude motion. Considering these effects lead to some intuitive results which determine the global stabilizing control law. The performance and robustness of the designed controller against actuators saturation and quantization error have been verified using a real-time-hardware–software in-loop (RTHSIL) simulation results. These results show that the global stability can be achieved although some disturbances and restrictions exist. This stabilizing controller can be simply combined with a linear explicit model predictive controller (EMPC) to achieve a full three-axis control law.     

A heuristic design method for attitude stabilization of magnetic actuated satellites

In this paper a heuristic design strategy for stabilizing the satellite attitude has been proposed. It is assumed that the satellite is actuated by a set of mutually perpendicular magnetic coils. Using well-known Lyapunov direct stability method it is shown that the proposed controller causes to a global asymptotic stable system for all near polar orbits. The design procedure is based on analyzing of the conceptual effects of magnetic coils on the satellite attitude motion. Considering these effects lead to some intuitive results which determine the global stabilizing control law. The performance and robustness of the designed controller against actuators saturation and quantization error have been verified using a real-time-hardware–software in-loop (RTHSIL) simulation results. These results show that the global stability can be achieved although some disturbances and restrictions exist. This stabilizing controller can be simply combined with a linear explicit model predictive controller (EMPC) to achieve a full three-axis control law.     

基于磁力矩定向阻尼特性的卫星姿态磁控制

根据磁力矩在地磁场中的定向阻尼特性，提出了磁控重力梯度和有阻尼器的非重力梯度卫星姿态控制律。给出了卫星姿态运动方程，并证明采用两种方法控制卫星姿态的稳定性。根据地磁场强度变化规律选择控制系数。理论分析和仿真结果表明，基于磁力矩定向阻尼特性的卫星姿态磁控制方法简单、精度较高。     

A hybrid attitude controller consisting of electromagnetic torque rods and an active fluid ring

In this paper, a novel hybrid actuation system for satellite attitude stabilization is proposed along with its feasibility analysis. The system considered consists of two magnetic torque rods and one fluid ring to produce the control torque required in the direction in which magnetic torque rods cannot produce torque. A mathematical model of the system dynamics is derived first. Then a controller is developed to stabilize the attitude angles of a satellite equipped with the abovementioned set of actuators. The effect of failure of the fluid ring or a magnetic torque rod is examined as well. It is noted that the case of failure of the magnetic torque rod whose torque is along the pitch axis is the most critical, since the coupling between the roll or yaw motion and the pitch motion is quite weak. The simulation results show that the control system proposed is quite fault tolerant.     

以VSCMG为执行器的航天器姿态机动自适应动态滑模控制

针对刚体航天器姿态机动控制问题,结合变速控制力矩陀螺(VSCMG)执行器的特性,提出一种自适应动态滑模控制律,提高了姿态机动控制的扰动抑制能力和鲁棒性。此控制律采用自适应方法对扰动力矩进行估计,通过给出控制力矩变化率并对其积分得到控制力矩,以此削弱切换控制的抖振对控制力矩时间连续性的影响,从而改善系统的动态性能。仿真分析显示该控制律能够在扰动力矩作用下实现刚体航天器的快速姿态机动,并且有效减弱了滑模控制的抖振现象。     

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.     

基于能量最优解析解的飞轮磁卸载方法

为改善传统卫星飞轮磁卸载,提出了一种基于能量最优解析解的磁卸载法。根据在轨卫星所处地磁场强度的变化规律,将卫星磁力矩器产生的磁矩作傅里叶级数展开,按卫星飞行一圈所需卸载的角动量由最优控制理论求出三轴磁矩的解析解。证明了该卸载法的稳定性,估算了干扰力矩及其作用,讨论了轨道倾角的影响,并给出了小倾角时的修正飞轮卸载控制律。理论分析和仿真结果表明,该飞轮卸载法简单且节能,效果明显优于传统的磁卸载法。     

基于变惯量反作用飞轮的小卫星大角度姿态机动控制研究

研究以变惯量反作用飞轮作为执行机构的小卫星的大角度姿态机动控制问题。变惯量反作用飞轮是一种新型的动量交换装置,不仅可以通过改变飞轮转速输出力矩,还可以通过改变其转动惯量实现大范围的力矩输出。文中建立了带有变惯量反作用飞轮的星体姿态动力学方程,设计了姿态控制律和飞轮的操纵律。仿真结果表明,与一般反作用飞轮相比,当小卫星大角度机动时变惯量飞轮的转速更不容易饱和,且力矩的输出范围变宽,可以同时满足小卫星高精度稳定和快速大角度姿态机动的双重要求。     

帆板转动时卫星姿态的非线性控制

当帆板转动时，卫星姿态因系统质量特性的改变和帆板驱动力矩的作用而发生扰动，本文采用一种具有鲁棒性的非线性控制方法，实现了高精度的卫星姿态控制。     

微型固体推进器阵列与磁力矩器联合姿态控制方法

针对传统皮纳卫星姿态控制系统中磁力矩器输出力矩小、姿态控制响应慢等问题,提出一种微型固体推进器阵列与磁力矩器联合姿态控制方法,提高了控制精度,缩短了控制周期,并利用Lyapunov稳定性理论证明了算法的稳定性。首先建立微型固体推进器阵列优化点火模型,然后给出其补偿控制时间设置方法,并推导出大角速度阻尼控制律和辅助速度阻尼控制律,同时设计了基于混合系统模型的姿态捕获联合控制律,最后通过仿真验证了速度阻尼联合控制律和姿态捕获联合控制律的有效性。仿真结果表明,相较于传统的纯磁控方法,联合控制方法能够有效提高控制精度,大幅度缩短控制周期。     

根据线性迭加理论实现微小卫星姿态磁控制

根据地磁力矩定向阻尼特性和线性迭加理论,提出仅用磁力矩器实现对地指向微小卫星三轴姿态稳定的控制律。推导了采用迭加补偿,并考虑附加磁矩影响时改进的卫星姿态动力学方程。理论分析和仿真结果表明,该控制律简单、姿态控制精度高。     

Stability and control of electrodynamic tethers for de-orbiting applications

Electrodynamic tethers provide a very promising propulsion system for de-orbiting of spent upper stages or LEO satellites. In this application, the Lorentz force generated by the interaction between the current in the wire and the geomagnetic field produces an electrodynamic drag leading to a fast orbital decay. The attractiveness of tether system lies especially in their capability to operate with uncontrollable satellites and in the modest mass requirement.The need for significant along-track forces leads however to the onset of an undesirable torque which, if not controlled, may drive the system into a dangerous instability. The electrodynamic torque determines in-plane and out-of-plane librations whose amplitude depends upon the current in the wire, mass distribution and system dimensions. Even more important, this torque is modulated along the orbit due to the changing magnetic field and ionospheric plasma density, giving rise to forced oscillations. The counteracting (and stabilizing) gravity-gradient torque is generally to small to ensure stability in typical, strongly non-symmetrical mass distributions, where a massive satellite or upper stage is attached at the lower end and a light electron collecting device (or passive ballast mass) is deployed a few kilometers above. Reducing the electron current or increasing the mass at the upper end are both unattractive solutions.In this paper we show how the electrodynamic torque pumps energy into the system (finally leading to large librations angles) and indicate that many proposed configurations are intrinsically unstable. Our results point out the need for a control strategy. Fortunately, the librations amplitudes can be limited by acting on the current flowing in the wire. Our model of a rigid, conductive tether shows that a control based upon timely current switch-off, using energy criteria, is indeed effective and simple to implement. The resultant duty-cycles are satisfactory and affect only marginally the de-orbiting times.     

Satellite dynamics under the influence of gravitational and aerodynamic torques. A study of stability of equilibrium positions

The dynamics of the rotational motion of a satellite, moving in the central Newtonian force field under the influence of gravitational and aerodynamic torques, is investigated. The paper proposes a method for determining all equilibrium positions (equilibrium orientations) of a satellite in the orbital coordinate system for specified values of aerodynamic torque and the major central moments of inertia; the sufficient conditions for their existence are obtained. For each equilibrium orientation the sufficient stability conditions are obtained using the generalized energy integral as the Lyapunov function. The detailed numerical analysis of the regions where the stability conditions of the equilibrium positions are satisfied is carried out depending on four dimensionless parameters of the problem. It is shown that, in the general case, the number of satellite’s equilibrium positions, for which the sufficient stability conditions are satisfied, varies from 4 to 2 with an increase in the value of the aerodynamic torque magnitude.     

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.     

卫星大型旋转载荷动平衡控制应用研究

卫星携带的转动体的动不平衡对星体产生非期望的干扰力矩,进而影响卫星姿态,为此在卫星高品质运动控制中必须对转动体的动平衡特性进行控制。本文在建立卫星多挠性体姿态动力学模型的同时,分析了动平衡检测在转动体残余干扰力矩分析中的应用,提出了大型旋转载荷动平衡控制方法和流程,最后通过实际工程应用情况,验证了该动平衡控制方法和流程的实用性和有效性。     

预警卫星前馈复合控制研究

预警卫星在轨工作期间,星载扫描相机将对关注区域进行南北往复扫描,凝视相机对发现的目标进行跟踪探测。文章以美国天基红外系统为背景,研究了相机扫描运动对星体产生干扰力矩作用下的姿态稳定控制问题,在星体反馈控制基础上增加了相机扰动的前馈补偿控制。针对扰动力矩大于执行机构最大输出力矩的问题,基于动量矩守恒定律,设计了用于补偿相机扰动力矩的前馈控制器,实现了卫星姿态的反馈控制加前馈补偿的复合控制方法。仿真结果表明该方法能够较有效地抑制相机运动引起的姿态扰动。     

基于IGRF地磁场模型的航天器地磁干扰力矩数值仿真

航天器长期在轨运行期间,空间磁场与其自身磁矩相互作用的累积,会对航天器的姿态造成较大影响,加重姿态控制系统负担,降低航天器的可靠性。文章分别针对航天器轨道计算及地磁场模型的使用,对航天器地磁干扰力矩数值的仿真进行了系统的研究,最终得到航天器在轨运行时地磁干扰力矩计算仿真方法。     

基于T-H方程的卫星轨迹模型参考输出跟踪控制方法

当目标卫星沿椭圆轨道运行时,描述追踪星与目标星相对运动的线性化方程为T-H方程。将描述航天器相对运动的T-H方程变换为周期系统的状态空间形式,并给出卫星轨迹跟踪控制问题的数学描述。基于周期系统的参量Lyapunov方法和模型参考跟踪控制理论,提出了卫星轨迹跟踪控制器的设计方法。利用该方法设计了带有收敛速率保障的反馈镇定控制器和具有自由参数的前馈控制器。对追踪星相对目标星悬停任务进行了数值仿真,仿真结果表明提出的控制方案是有效的。     

应用变速控制力矩陀螺的卫星姿态机动的非线性控制

研究了以变速控制力矩陀螺(VSCMG)作为执行机构的卫星多目标快速机动的控制问题。首先建立了带有多个变速控制力矩陀螺的航天器姿态动力学模型,采用修正的罗德里格斯参数(MRP)描述姿态运动。在考虑执行机构饱和、机动速率限制、控制带宽限制等情况下,设计了基于Lyapunov理论的非线性姿态反馈控制器。针对外部干扰会使控制力矩陀螺的框架角偏移其标称值的情况,采取磁补偿控制来保持框架角在一定范围变化。以采用VSCMG为执行机构的某卫星为例进行了数值仿真,仿真结果验证了提出的非线性姿态反馈控制器的有效性,采取的磁补偿控制也很好地抑制了变速控制力矩陀螺框架角的偏移。     

Unloading law for a LEO spacecraft with two-gimbals solar array

The purpose of this paper is to present a modified cross-product unloading law that can be used to provide an open-loop compensation control design to counteract the predominant effects of the gravity gradient torque. The modified cross-product unloading law, is successfully applied to a three-axis stabilized, nadir-pointed LEO spacecraft with two-gimbals solar array. The variation of the two solar array orientations can significantly change the spacecraft's moment of inertia during the nominal operation mode, which can produce significant momentum accumulation in the roll–yaw body plane and cause large yaw pointing error. A rigorous study of momentum management performance capability has been conducted by using a high-fidelity performance simulation software that contains models of four environmental disturbance torque (gravity gradient, aerodynamic, solar, and magnetic). The simulation results show that the proposed momentum unloading control law has enabled a substantial reduction in the maximum accumulated roll momentum, which results in improving the pointing accuracy of the LEO spacecraft enormously.