Boundedness of Formation Configuration for Nonlinear Three-body Dynamics

The configuration boundedness of the three-body model dynamics is studied for Sun-Earth formation flying missions. The three-body formation flying model is built up with considering the lunar gravitational acceleration and solar radiation pressure. Because traditional linearized dynamics based method has relatively lower accuracy, a modified nonlinear formation configuration analysis method is proposed in this paper. Comparative studies are carried out from three aspects, i.e., natural formation configuration with arbitrary departure time, initialization time and formation configuration boundedness, and specific initialization time for bounded formation configuration. Simulations demonstrate the differences between the two schemes, and indicate that the nonlinear dynamic method reduces the error caused by the model linearization and disturbance approximation, and thus provides higher accuracy for boundedness analysis, which is of value to initial parameters selection for natural three-body formation flying.      

Optimal H∞ robust output feedback control for satellite formation in arbitrary elliptical reference orbits

A two degree-of-freedom signal-based optimal H_∞ robust output feedback controller is designed for satellite formation in an arbitrary elliptical reference orbit. Based on high-fidelity linearized dynamics of relative motion, uncertainties introduced by non-zero eccentricity and gravitational J2 perturbation are separated to construct a robust control model. Furthermore, a distributed robust control model is derived by modifying the perturbed robust control model of each satellite with the eigenvalues of the Laplacian matrix of the communication graph, which represent uncertainty in the communication topology. A signal-based optimal H_∞ robust controller is then designed primarily. Considering that the uncertainties involved in the distributed robust control model have a completely diagonal structure, the corresponding analyses are made through structured singular value theory to reduce the conservativeness. Based on simulation results, further designs including increasing the degrees of freedom of the controller, modifying the performance and control weighted functions, adding a post high-pass filter according to the dynamic characteristics, and reducing the control model are made to improve the control performance. Nonlinear simulations demonstrate that the resultant optimal H_∞ robust output feedback controller satisfies the robust performance requirements under uncertainties caused by non-zero eccentricity, J2 perturbation, and varying communication topology, and that 5 m accuracy in terms of stable desired formation configuration can be achieved by the presented optimal H_∞ robust controller. In addition to considering the widely discussed uncertainties caused by the orbit of each satellite in a formation, the optimal H_∞ robust output feedback control model presented in the current work considers the uncertainties caused by varying communication topology in the satellite formation that works in a cooperative way. Other new improvements include adopting a new method to more accurately describe and analyze the effects of the higher-order J2 perturbation, combining all the uncertainties into a diagonal structure, and utilizing a structured singular value to synthesize and analyze the controller.     

基于卫星自旋的纯引力轨道万有引力干扰抑制

一个称为“内卫星”的验证质量块位于外卫星的内部空腔中,不与外卫星接触而自由飞行,由于外卫星的屏蔽,其不受大气阻力、太阳光压等干扰作用,沿着纯引力轨道飞行。外卫星会对内卫星产生万有引力作用,是内卫星纯引力轨道的主要残余干扰。根据卫星相对运动动力学方程,建立了万有引力干扰对内卫星纯引力轨道影响的分析模型;基于将外卫星绕轨道面法向旋转以调制万有引力的策略,建立了外卫星自旋对万有引力干扰影响的抑制模型。以内编队纯引力飞行系统为例,对比计算了外卫星有无自旋时万有引力干扰对内卫星纯引力轨道的影响。基于模型的分析表明,外卫星自旋能够显著抑制万有引力干扰对内卫星纯引力轨道的长期影响;实例计算表明,万有引力干扰的天长期影响能够降低5~7个数量级。     

High-precision single-input control of relative motion in spacecraft formation

A Newton-type method is proposed to improve the accuracy of control for relative motion of two satellites in close formation. We assume that the deputy satellite is equipped with a passive attitude control system that provides one-axis stabilization, and one or two orbit control thrusters are installed along the stabilized axis. Previous studies show that it is possible to construct periodic relative trajectories both in case of passive magnetic and spin stabilization. However, the accuracy of the numerically obtained control is quite low due to modeling errors caused by linearization of the equations of relative motion. Therefore, a correction procedure is required to compensate for nonlinear effects. To this end we suggest a recently developed algorithm based on the Newton method for solving nonlinear systems with geometric constraints. Being implemented, this algorithm allows decreasing the modeling error by up to ten times. The previously found control and trajectory of the linearized system are used as initial approximations.     

平均相对运动方程及其在卫星编队构型维持中的应用

针对近地轨道卫星相对运动过程中的周期变化特性,利用轨道周期平均方法给出了平均相对运动方程,并在此基础上设计了两种编队构型维持策略.首先,推导出以轨道根数差分表示的平均相对运动方程,该方程能有效消除相对运动的周期性变化.其次,针对大气阻力摄动和J2项摄动,利用轨道平均根数的线性化递推公式,给出了平均相对运动轨迹的预报方程,通过事先预报编队飞行的平均轨迹,为编队构型设计和保持控制提供参考依据.最后通过数学仿真对两种编队构型维持策略进行了验证.     

基于相对方位信息和单间距测量的多智能体编队协同控制

由多个载体组成的多智能体系统对复杂环境具有更高的适应性,能够完成传统单个载体无法完成的任务。针对多智能体编队集结与队形移动跟踪问题,提出了一种改进的多智能体编队协同控制新算法。首先,以拒止环境下跟随智能体仅能通过光学传感器测量相对方位信息为任务背景,针对"领导者——第一跟随者"结构的多智能体编队,提出了基于相对方位信息与单间距测量的控制器,使得第一跟随者智能体可以追随移动的领导者智能体,并且可以通过改变与领导者智能体的间距对编队整体队形进行缩放控制。其次,提出一种了改进的分布式控制律,使得其他跟随者智能体可以仅通过两个相对方位信息完成编队飞行。然后,根据Lyapunov第二方法,构建了系统的能量函数,验证了所提出算法的稳定性。最后,通过数值仿真实验对所提算法进行了验证。仿真结果表明,基于该控制律多智能体系统能够完成编队集结、队形缩放和编队飞行的任务。     

小展弦比飞翼大迎角状态空间气动力建模

现代军机大迎角区域性能对空中作战优势的建立有着重要影响,针对大迎角区域建立合适的数学模型对于飞行仿真、稳定性分析和控制律设计都有着重要作用,并且对于解决飞行安全问题和研究飞机失速和尾旋问题具有重要意义。针对小展弦比飞翼标模的迟滞特性,对状态空间模型进行改进,应用大振幅强迫振荡试验数据建立了非定常气动力模型,采用风洞典型机动模拟试验验证状态空间模型的有效性和适用性。结果表明：本文发展并改进的状态空间模型能够准确预测小展弦比飞翼标模不同机动下的非定常气动力特性,具有较强的工程实用性。     

Fixed-time position coordinated tracking control for spacecraft formation flying with collision avoidance

In this paper, the fixed-time stability of spacecraft formation reconfiguration (position tracking) is studied. Firstly, a novel nonsingular terminal sliding mode surface is designed and based on which a fixed-time coordinated controller is designed to keep the closed-loop system states have a finite settling time bounded by some predefined constants. Secondly, another nonsingular terminal sliding mode surface is designed by combining the artificial potential function and the aforementioned sliding surface, which meets the mutual distance constraint during transition process among spacecraft when it is bounded. Then another coordinated controller with fixed-time observer considering mutual distance constraint is presented, which guarantees the closed-loop system states stable also in bounded settling time. Finally, simulation results are shown to validate the correctness of the proposed theorems. It is worth mentioning that the control schemes also work even though there is a properly limit on the control input.     

共面伴飞相对运动椭圆相位最省燃料控制问题

针对伴随微纳卫星资源受限,轨控需实现最省燃料控制的现实问题,基于Hill方程和二元函数极值理论,研究了共面编队伴飞卫星的最省燃料相位控制策略。分析结果表明：当需要改变的相位为锐角、ΔV<05nb横向控制对相对运动椭圆相位改变效率最高,ΔV=05nb|cosΘ|控后相位为相对运动椭圆左右点,同时将相对运动椭圆短半轴控小;以伴随卫星绕参考卫星共面伴飞相位控制为例,应用这一理论求解了控制策略。     

基于准则的大展弦比飞翼气动设计

从设计实际出发,为切实提高气动性能,开展了大展弦比飞翼无人机(UAV)的气动设计及分析研究.在设计分析过程中,依据飞翼无人机的特征,提出了气动设计准则;基于设计准则,采用更新设计的策略,结合变可信度数值模拟、代理模型优化方法构建了优化设计框架;针对飞翼无人机开展了参数化表达、无限插值网格自动生成以及多轮更新优化,得到了优化推荐构型;应用γ-Re_θt转捩模型方法对优化构型的气动性能进行了细致地验证分析.研究结果表明:通过气动设计,飞翼无人机设计构型很好地契合了设计准则,其巡航升阻比相比最初的原始构型提高了14%,γ-Re_θt转捩模型能较细致地分析大展弦比飞翼的流动特征.