Fuel-optimal deorbit scheme of space debris using tethered space-tug based on pseudospectral method

This paper proposes a fuel-optimal deorbit scheme for space debris deorbit using tethered space tug. The scheme contains three stages named respectively as dragging, maintenance and swinging. In the first stage, the tug, propelled by continuous thrust, tows deorbit to a transfer orbit with a tether. Then in the second stage, the combination of the tug and the debris flies unpowered and uncontrolled to a swing point on the transfer orbit. Finally, in the third stage, the tug is propelled at the swing point and the rotation speed of the tethered system increases such that the debris obtains enough velocity increment. The trajectory optimization of the first stage is established considering the total fuel consumption of the three stages, whereas the dynamic model is simplified for computation efficiency. The solution to the optimal problem is obtained using a direct method based on Gauss pesudospectral discretization. Then a model predictive controller is designed to track the open-loop optimal reference trajectories, reducing the states’ deviations caused by model simplification and ignorance of perturbations. Furthermore, it is proved that the fuel-optimal swing point is the apogee of the transfer orbit. The paper analyzes the fuel consumption of a typical scenario and demonstrates effectiveness of the proposed deorbit scheme numerically.     

利用受限张力的拖曳变轨欠驱动姿态稳定策略

在空间绳系拖曳变轨中,目标和平台形成一种哑铃型绳系系统,且仅依靠有限的平台推力和系绳张力来抑制系绳的摆动。针对此类输入受限的欠驱动控制问题,提出了一种利用受限张力的姿态稳定策略。首先,推导了组合体姿态动力学模型。然后通过数值求解姿态平衡方程得出理论面内姿态指令,再采用高斯伪谱法对其优化获得实际指令。最后,基于分层滑模理论设计欠驱动张力控制律,并嵌入抗饱和模块以缓解张力饱和。仿真表明空间平台能在正向有限的张力控制下,平滑地收放系绳使面内角和绳长跟踪实际姿态指令。此外,所提策略对目标体摆动和传感器误差也具有良好的鲁棒性。     

空间绳系机器人捕获目标后的面内自适应回收方法

在空间绳系机器人(TSR)捕获目标星后,操作机构与目标星形成质量、惯量和系绳连接点位置等参数未知的组合体,且系绳长度、偏角与组合体姿态严重耦合,控制输入严格受限,回收控制十分困难。针对其回收难题,综合考虑系绳长度、系绳偏角与组合体姿态,利用拉格朗日法建立了轨道面内的动力学模型,并基于动态逆理论设计了一种自适应抗饱和回收控制方法。首先,在对组合体质量、惯量与系绳连接点进行在线估计的基础上,设计一种自适应动态逆回收控制器;然后,设计辅助变量对控制输入进行补偿,解决控制输入受限问题;最后进行仿真验证。仿真结果表明,在线估计器能够快速有效地估计组合体动力学参数,回收控制系统能够利用受限的控制输入克服抓捕时刻的系绳偏角和组合体姿态扰动,并沿设计的回收轨迹实现稳定有效回收。     

Observer-based control for the platform of a tethered space robot

This paper addresses the attitude control problem of a space tethered robot platform in the presence of unknown external disturbance caused by a connecting elastic tether. The tether-generated unknown disturbance leads to tremendous challenges for attitude control of the platform. In this work, the perturbed attitude dynamics of the platform are derived with a consideration of the libration of the elastic tether, and then with the purpose of compensating the unknown disturbance, major attention is dedicated to develop a nonlinear disturbance observer based on gyros measurements, after which, an adaptive attitude scheme is proposed by combining the disturbance observer with a sliding mode controller. Finally, benefits from the observer based on an adaptive controller are validated by series of numerical simulations.     

空间绳系机器人逼近目标协调控制方法

 为了节省空间绳系机器人的末端执行装置在逼近目标卫星过程中推力器所使用的燃料,本文提出一种利用推力器、反作用轮及空间系绳的协调控制方法。首先利用二次型最优控制器(LQR)算法计算出末端执行装置逼近目标所需的理想轨道控制力,然后利用模拟退火算法将所需轨道控制力优化分配到推力器及空间系绳,同时利用时间延迟算法通过反作用轮补偿空间系绳产生的姿态干扰力矩。仿真结果表明,利用该协调控制方法能显著节省末端执行装置上推力器的燃料消耗,有效抑制空间系绳协调控制力产生的姿态干扰,使末端执行装置保持相对稳定的姿态。     

直连式三体绳系卫星姿态鲁棒最优跟踪控制

 针对存在参数不确定性以及外部有界干扰的直连式三体旋转绳系卫星系统姿态跟踪控制问题,提出了一种分布式鲁棒最优控制方法。该方法首先针对单体绳系卫星姿态模型,在不考虑参数不确定性和干扰的条件下,应用Hamilton-Jacobi-Bellman方程设计了最优控制器;接着,考虑到实际系统存在参数不确定性和干扰,采用自适应与鲁棒误差积分方法在线学习参数不确定性和有界干扰,与最优控制器结合设计了鲁棒最优控制器,使闭环系统满足了性能指标达到最小的要求,并应用Lyapunov稳定性定理证明了其闭环系统的渐近稳定性。进一步考虑到绳系卫星系统的运动同步性,将单体绳系卫星姿态控制器设计扩展至直连式三体绳系卫星姿态系统,设计了分布式鲁棒最优控制器。最后在MATLAB/Simulink平台上进行了仿真,验证了方法的可行性与有效性,表明其具有潜在的应用前景。     

Tethered dual spacecraft configuration: a solution to attitude control problems

A new dual spacecraft configuration comprising of two spacecraft halves judiciously connected through extremely short tethers is proposed. The simple tethered configuration induces stabilizing torques when subjected to attitude disturbances, thus ensuring 3-d pointing stability of both the satellite platforms. The enhanced system performance obtained using tethers enables a much greater flexibility in the choice of satellite mass distribution. Three particular TSS models involving parallel tethers, a `parachute-like' conical tether layout as well as a single tether connection have been considered. A detailed numerical response simulation shows that these modes of tether attachments bring about a radical change in the satellite attitude behavior from the nominal one involving relatively large librational amplitudes or instability to a virtually fixed desired orientation. Of these, the parachute configuration appears to be superior. The passive nature of the proposed mechanisms using tether lengths on the order of merely a couple of meters needed for small and medium size systems makes the concept particularly attractive for future space missions. Finally, it is felt that the proposed tethered dual satellite systems may offer a simple answer to three-axis attitude control problems.     

Electrodynamic forces in tethered satellite systems. I. Systemcontrol

Part I of this work deals with the use of electrodynamic forces for control of tethered satellite system. A system formed by two massive end-bodies connected to each other by a current carrying tether is to be kept in an Earth-pointing orientation by means of joint actions of thrusters on one of the end-bodies and electrodynamic forces acting on the tether     

面内轨道转移过程中的绳系系统摆振特性研究

轨道转移过程中的绳系系统处于非开普勒轨道,导致系统呈现复杂的动力学行为并影响着星体的飞行安全,因此研究系统摆振特性具有重要的理论和实际意义。针对复杂的非线性和强耦合问题,利用动量矩定理建立绳系系统姿态动力学方程,以切向常值加速度轨道转移为任务背景,给出了系统质心运动轨迹;通过分析面内摆角的静态分岔现象,推导了面内、面外摆角的一阶摆动解析解;引入经典的珠点模型,研究系绳纵向和横向的振动特性,并分析了系绳摆动与系绳振动之间的耦合关系。仿真结果表明:面内轨道转移过程中,面内、面外摆角以固定的频率绕平衡位置做往返摆动,摆动频率大小以及平衡位置的变化均与系绳长度、推力加速度和所处轨道密切相关,面内摆角摆动频率接近轨道角频率时会引起共振现象,系绳在轨道转移过程中会出现大幅度横向振动等现象。     

Nonlinear dynamics and station-keeping control of a rotating tethered satellite system in halo orbits

The dynamics of a rotating tethered satellite system （TSS） in the vicinity of libration points are highly nonlinear and inherently unstable. In order to fulfill the station-keep control of the rotating TSS along halo orbits, a nonlinear output tracking control scheme based on the θ- D technique is proposed. Compared with the popular time-variant linear quadratic regulator （LQR） controller, this approach overcomes some limitations such as on-line computations of the algebraic Riccati equation. Besides, the obtained nonlinear suboptimal controller is in a closed form and easy to implement. Numerical simulations show that the TTS trajectories track the periodic reference orbit with low energy consumption in the presence of both tether and initial injection errors. The axis of rotation can keep pointing to an inertial specific object to fulfill an observation mission. In addition, the thrusts required by the controller are in an acceptable range and can be implemented through some low-thrust propulsion devices.     

空间绳系组合体的继电型控制离轨策略

为了使空间绳系组合体更好地完成空间碎片清理任务,提出一种更接近工程实际应用的继电型推力（Bang-Bang）离轨控制策略。利用带有差动间隙的Bang-Bang控制策略,实现绳系组合体切向的继电式推力加速;设计了一种全新的被动式卷扬机构,以避免在使用继电式推力离轨的过程中多次开关发动机对绳系组合体带来的负面影响;针对径向推力设计了输入受限的滑模控制器,且最终控制指令同样以继电式推力形式实现,抑制了离轨过程中绳系组合体的面内摆动。数值仿真结果显示,继电型推力能够实现与连续推力近似的效果,能够将绳系组合体的摆动角度抑制在一个较小的范围内;整个离轨控制策略能够使得空间绳系组合体在保持姿态稳定的前提下将空间碎片拖曳到坟墓轨道。     

惯性参数不确定的自由漂浮空间机器人自适应控制研究

针对自由漂浮空间机器人系统惯性参数不确定问题,提出一种笛卡儿空间内的自适应轨迹跟踪控制方法。采用扩展机械臂模型建立了自由漂浮空间机器人关节空间动力学方程,进而推导笛卡儿空间中的自由漂浮空间机器人动力学方程。在基于逆动力学法的自由漂浮空间机器人自适应控制器设计中,利用标称控制器离线固定控制参数与补偿控制器在线补偿方法,既可以保证惯量矩阵可逆,又可以使控制参数实时估计。采用Lyapunov方法的稳定性分析表明系统是稳定且渐进收敛的。最后,应用该控制方法对两杆平面自由漂浮空间机器人进行了仿真研究。仿真结果显示自由漂浮空间机器人末端执行器在笛卡儿空间具有良好的轨迹跟踪能力。     

Robust Hybrid Control for Ballistic Missile Longitudinal Autopilot

This paper investigates the boost phase’s longitudinal autopilot of a ballistic missile equipped with thrust vector control. The existing longitudinal autopilot employs time-invariant passive resistor-inductor-capacitor (RLC) network compensator as a control strategy, which does not take into account the time-varying missile dynamics. This may cause the closed-loop system instability in the presence of large disturbance and dynamics uncertainty. Therefore, the existing controller should be redesigned to achieve more stable vehicle response. In this paper, based on gain-scheduling adaptive control strategy, two different types of optimal controllers are proposed. The first controller is gain-scheduled optimal tuning-proportional-integral-derivative (PID) with actuator constraints, which supplies better response but requires a priori knowledge of the system dynamics. Moreover, the controller has oscillatory response in the presence of dynamic uncertainty. Taking this into account, gain-scheduled optimal linear quadratic (LQ) in conjunction with optimal tuning-compensator offers the greatest scope for controller improvement in the presence of dynamic uncertainty and large disturbance. The latter controller is tested through various scenarios for the validated nonlinear dynamic flight model of the real ballistic missile system with autopilot exposed to external disturbances.     

系留气球升空过程的动态模拟

采用有限元方法,建立了系留气球的多质点动力学模型,研究了风场中某型系留气球的动态升空过程。模型中将柔性大变形的系留绳离散成若干绳段,各绳段假设为质量集中在端点的阻尼弹簧,各节点的运动由相应绳段的重力、气动力和张力确定。通过数值模拟给出并分析了系留气球轨迹、系留绳释放速度、张力、长度、形状和水平漂移距离等参数的变化规律。与国外典型算例进行对比,结果表明该模型对系留气球升空过程中的参数变化有较好的预测能力,对系留气球的释放控制有一定的指导作用。     

基于数据驱动的变循环发动机多变量自适应控制算法研究

本文针对变循环发动机包线范围大,自适应控制需求高的问题,在增广线性二次型调节器(ALQR)基础上,提出一种基于数据驱动的自适应ALQR(DA-ALQR)控制算法。构建了多变量系统自适应控制准则函数,以梯度下降法对控制器参数进行调整,借助基于数据驱动的动态线性化建模方法,递推进行输出对输入梯度的近似计算,实现了对ALQR控制参数的自适应调整。仿真结果表明,所设计的DA-ALQR控制器参数随发动机状态变化得到了有效调整,相较于ALQR控制算法,闭环系统动态性能得到了大幅度提升,推力在单外涵模式表现出较快的响应速度,在双外涵模式表现出更小的超调,转速同样表现出了超调减小和响应速度加快特性,验证了所提出方法的有效性。     

Capture and detumbling control for active debris removal by a dual-arm space robot

Active debris removal (ADR) technology is an effective approach to remediate the proliferation of space debris, which seriously threatens the operational safety of orbital spacecraft. This study aims to design a controller for a dual-arm space robot to capture tumbling debris, including capture control and detumbling control. Typical space debris is considered as a non-cooperative target, which has no specific capture points and unknown dynamic parameters. Compliant clamping control and the adaptive backstepping-based prescribed trajectory tracking control (PTTC) method are proposed in this paper. First, the differential geometry theory is utilized to establish the constraint equations, the dynamic model of the chaser-target system is obtained by applying the Hamilton variational principle, and the compliance clamping controller is further designed to capture the non-cooperative target without contact force feedback. Next, in the post-capture phase, an adaptive backstepping-based PTTC is proposed to detumble the combined spacecraft in the presence of model uncertainties. Finally, numerical simulations are carried out to validate the feasibility of the proposed capture and detumbling control method. Simulation results indicate that the target detumbling achieved by the PTTC method can reduce propellant consumption by up to 24.11%.     

Line-of-sight pointing stability for "drifting" satellites

Explored here is the feasibility of a new attitude control approach for satellites in high altitude elliptic orbits, in order to compensate for the effect of longitudinal periodic drift relative to the ground station. A simple attitude control technique using tethers has been proposed for achieving the fixed apparent satellite orientation with respect to the ground segment of the space mission. Combining the proposed feedback tether length control law with the analytically developed open-loop control policy results in a significant improvement of the controller performance. To illustrate implementation of the proposed concept, the particular case of 24 h elliptic orbits has been considered. A high degree of satellite pointing along the drifting line-of-sight made possible even with modest tether lengths makes the concept particularly attractive.     

Parameterization and adaptive control of space robot systems

In space application, robot system are subject to unknown or unmodeled dynamics, for example, in the tasks of transporting an unknown payload or catching an unmodeled moving object. We discuss the parameterization problem in dynamic structure and adaptive control of a space robot system with an attitude-controlled base to which the robot is attached. We first derive the system kinematic and dynamic equations based on Lagrangian dynamics and the linear momentum conservation law. Based on the dynamic model developed, we discuss the problem of linear parameterization in term of dynamic parameters, and find that in joint space, the dynamics can be linearized by a set of combined dynamic parameters; however, in inertial space linear parameterization is impossible in general. Then we propose an adaptive control scheme in joint space, and present a simulation study to demonstrate its effectiveness and computational procedure. Because most takes are specified in inertial space instead of joint space, we discuss the issues associated to adaptive control in inertial space and identify two potential problem: unavailability of joint trajectory because the mapping from inertial space trajectory is dynamic-dependent and subject to uncertainty; and nonlinear parameterization in inertial space. We approach the problem by making use of the proposed joint space adaptive controller and updating the joint trajectory by the estimated dynamic parameters and given trajectory in inertial space     

超机动飞机的非线性动态逆控制

讨论了应用非线性动态逆进行超机动飞机飞行控制系统的设计。对快变量角速率进行非线性逆控制器的设计,由此来稳定纵向短周期运动,并通过气动舵面与推力矢量的融合,来改善大迎角范围的侧向响应,对慢变量姿态角进行非线性逆控制器的设计可使飞行员控制飞机慢运动。     

变循环发动机模态转换建模及控制规律设计方法研究

为了实现变循环发动机快速可靠的模态转换,本文发展了变循环发动机模态转换过渡态模型及控制规律设计方法。在变循环发动机动态数值仿真程序的基础上,针对模态选择阀与涵道引射器这两个模态转换过程中的关键变几何部件,建立了高精度的气流突扩局部损失模型。首次提出了可考虑模态选择阀堵塞对发动机性能影响的模态选择阀堵塞模型,消除了由于模型不精确造成的模态转换参数波动。在建立的变循环发动机数学模型的基础上,提出了基于直接推力控制技术的模态转换控制规律设计方法,考虑了变循环发动机的8个可调参数,采用差分进化算法对模态转换过程进行了优化。结果表明,本文提出的模态转换控制规律设计方法可以实现变循环发动机快速平稳的模态转换,双外涵转单外涵的参数变化规律与单外涵转双外涵的参数变化规律基本类似,推力在0.6秒就稳定在目标推力值,其余参数大多在1.4秒之后才趋于稳定。本文提出的变循环发动机模态转换控制规律设计方法还可应用于常规航空发动机的加/减速过渡态控制规律设计中。