Orbit determination of BDS-3 satellite based on regional ground tracking station and inter-satellite link observations

The BeiDou global navigation satellite system (BDS-3) has established the Ka-band inter-satellite link (ISL) to realize a two-way ranging function between satellites, which provides a new observation technology for the orbit determination of BDS-3 satellites. Therefore, this study presents a BDS satellite orbit determination model based on ground tracking station (GTS) observations and ISL ranging observations firstly to analyze the impact of the ISL ranging observations on the orbit determination of BDS-3 satellites. Subsequently, considering the data fusion processing, the variance component estimation (VCE) algorithm is applied to the parameter estimation process of the satellite orbit determination. Finally, using the measured data from China’s regional GTS observations and BDS-3 ISL ranging observations, the effects of ISL ranging observations on the orbit determination accuracy of BDS-3 satellites are analyzed. Moreover, the impact of the VCE algorithm on the fusion data processing is evaluated from the aspects of orbit determination accuracy, Ka-band hardware delay parameter stability, and ISL ranging observation residuals. The results show that for China’s regional GTSs, the addition of BDS-3 ISL ranging observations can significantly improve the orbit determination accuracy of BDS-3 satellites. The observed orbit determination accuracy of satellite radial component is improved from 48 cm to 4.1 cm. In addition, when the initial weight ratio between GTS observations and ISL ranging observations is not appropriate, the various indicators which include orbit determination accuracy, ISL hardware delay, and ISL observation residuals were observed to have improved after the adjustment of the VCE algorithm. These results validate the effectiveness of the VCE algorithm for the fusion data processing of the GTS observations and ISL ranging observations.     

基于最小约束系统的分布式协作定位研究

5G移动通信系统中,设备到设备的通信方式产生了节点间的信号测量,可用于提升无线定位的覆盖范围和定位精度。提出了一种基于最小约束系统的分布式协作定位方法,该方法首先利用已有算法估计节点参考位置,并据此构建最小约束确定网络的位置及朝向,然后在该约束下极大化由节点间测量引出的似然函数,获得位置估计。理论研究表明,该方法将由节点间测量确定的相对位置拟合到参考位置处,在参考位置等于真实位置时达到最优效果。仿真结果表明,该方法可有效提高定位精度,并具有分布式和可扩展等优点。     

小卫星侦察星座性能评估研究

针对小卫星侦察星座性能评估问题，从覆盖、成本和弹性三方面对小卫星侦察星座的性能指标进行研究，分别构建了考虑存储容量约束的覆盖能力评估模型、成本估计模型以及弹性能力评估模型。在覆盖能力评估模型中，将卫星存储容量作为约束条件，结合卫星覆盖几何模型分析了卫星对地侦察的工作条件，提出考虑存储容量的覆盖指标计算方法；通过小卫星成本模型(small satellite cost model,SSCM)对星座各分系统的成本进行估计；在弹性评估模型中，提出了星座性能损失率指标，并根据星座失效状态概率函数确定了不同失效状态下星座性能损失率的权重。将上述模型应用于SkySat和吉林一号星座的性能评估过程中，结果表明SkySat比吉林一号覆盖能力强、成本低，弹性差。提出的三个模型可用于评价星座优劣，为小卫星侦察星座的建设和性能评估工作提供参考。     

Novel finite-time attitude control of postcapture spacecraft with input faults and quantization

This paper investigates a novel finite-time attitude control method for the postcapture spacecraft with an unknown captured space target in the presence of input faults and quantization. First, a quasi fixed-time convergent performance function is developed to quantitatively characterize the attitude tracking performance. Then, a backstepping prescribed performance attitude controller is devised via using integral barrier Lyapunov function. Compared with the existing works, the fractional state feedback and discontinuous controller is directly avoided to achieve the fixed-time convergence rate. Namely, the proposed fixed-time controller is easily achieved online. Finally, two groups of illustrative examples are organized to validate the effectiveness and robustness of the proposed control method.     

谱估计理论在弹道数据参数化建模中的应用

针对高超声速飞行器防御作战中目标运动规律的描述问题，提出一种基于经典和现代谱估计理论的弹道数据参数化分析和建模方法。该方法将弹道数据视作非平稳随机信号，研究其变化规律：首先，通过线性消势法消除信号的线性趋势，将其转变为平稳信号，以便于进行谱估计；然后，采用Welch算法给出大致的谱图，结合该谱图和改进的协方差法确定自回归参数模型的阶数，以避免模型阶数选择准则引起的不确定性问题；最终，给出弹道数据的参数化模型。仿真结果表明，使用本文算法建立的弹道数据参数化模型与动力学模型具有较高的一 致性。     

Direction finding for two-dimensional incoherently distributed sources with Hadamard shift invariance in non-uniform orthogonal arrays

This paper proposes a novel algorithm for Two-Dimensional (2D) central Direction-of-Arrival (DOA) estimation of incoherently distributed sources. In particular, an orthogonal array structure consisting of two Non-uniform Linear Arrays (NLAs) is considered. Based on first-order Taylor series approximation, the Generalized Array Manifold (GAM) model can first be established to separate the central DOAs from the original array manifold. Then, the Hadamard rotational invariance relationships inside the GAMs of two NLAs are identified. With the aid of such relationships, the central elevation and azimuth DOAs can be estimated through a search-free polynomial rooting method. Additionally, a simple parameter pairing of the estimated 2D angular parameters is also accomplished via the Hadamard rotational invariance relationship inside the GAM of the whole array. A secondary but important result is a derivation of closed-form expressions of the Cramer-Rao lower bound. The simulation results show that the proposed algorithm can achieve a remarkably higher precision at less complexity increment compared with the existing low-complexity methods, which benefits from the larger array aperture of the NLAs. Moreover, it requires no priori information about the angular distributed function.     

InfraRed Astronomy Satellite Swarm Interferometry (IRASSI): Overview and study results

The far-infrared (FIR) regime is one of the few wavelength ranges where no astronomical data with sub-arcsecond spatial resolution exist yet. Neither of the medium-term satellite projects like SPICA, Millimetron or OST will resolve this malady. For many research areas, however, information at high spatial and spectral resolution in the FIR, taken from atomic fine-structure lines, from highly excited carbon monoxide (CO) and especially from water lines would open the door for transformative science. These demands call for interferometric concepts. We present here first results of our feasibility study IRASSI (Infrared Astronomy Satellite Swarm Interferometry) for an FIR space interferometer. Extending on the principal concept of the previous study ESPRIT, it features heterodyne interferometry within a swarm of five satellite elements. The satellites can drift in and out within a range of several hundred meters, thereby achieving spatial resolutions of <0.1 arcsec over the whole wavelength range of 1–6 THz. Precise knowledge on the baselines will be ensured by metrology methods employing laser-based optical frequency combs, for which preliminary ground-based tests have been designed by members of our study team. We first give a motivation on how the science requirements translate into operational and design parameters for IRASSI. Our consortium has put much emphasis on the navigational aspects of such a free-flying swarm of satellites operating in relatively close vicinity. We hence present work on the formation geometry, the relative dynamics of the swarm, and aspects of our investigation towards attitude estimation. Furthermore, we discuss issues regarding the real-time capability of the autonomous relative positioning system, which is an important aspect for IRASSI where, due to the large raw data rates expected, the interferometric correlation has to be done onboard, in quasi-real-time. We also address questions regarding the spacecraft architecture and how a first thermomechanical model is used to study the effect of thermal perturbations on the spacecraft. This will have implications for the necessary internal calibration of the local tie between the laser metrology and the phase centres of the science signals and will ultimately affect the accuracy of the baseline estimations.     

基于EKF的主动雷达寻的制导状态估计与最优控制研究

针对主动雷达寻的制导问题,进行了非线性系统状态估计和最优制导律的研究,并进行了目标机动情况下的仿真验证。利用主动雷达给出的带有噪声的观测信息,设计了寻的制导系统扩展卡尔曼滤波器,估计弹目相对运动状态信息。基于最优控制理论,按照需用过载和脱靶量最小设计了线性二次型最优制导律。仿真结果表明,所设计的主动雷达寻的制导系统滤波器和最优制导律能有效对付机动目标,满足飞行器控制要求。     

无人飞行器集群仅测距初始相对位姿确定方法研究CSCD

针对全球导航卫星系统(GNSS)拒止环境下无人飞行器集群成员间的相对定位问题,研究了一种基于机载惯性测量单元(IMU)、气压高度计与数据链测距组合的初始相对位姿求解算法。首先,在高度计稳定输出较为精确的高度信息的前提下,将飞行器的三维运动解耦成二维水平运动,给出了三维加速度和角速度、测距信息的水平坐标系投影等效模型。在此基础上,以待求量相对位置和航向角的非线性形式构造了新的待求状态量,并将相对位置和航向角的非线性求解问题转化成了新状态量的线性模型最小二乘求解问题。然后,通过引入递推最小二乘算法(RLS),建立了该相对位姿求解算法的实时输出递推形式,有效降低了机载在线计算的负载。接着,对所提算法进行了可观测性分析,并给出了使系统状态量不可观测的几种相对运动形式。最后,对所提算法进行了数值仿真实验,仿真结果表明,该算法能够有效、快速求解初始相对位姿,位置误差在初始相对距离的10%以内,航向角误差在初始相对角度的1%以内。     

Passive localization by a single moving observer using TOA only with unknown SRI: Observability analysis and algorithm

Passive localization by a single moving observer using Time of Arrival (TOA) only with an unknown Signal Repetition Interval (SRI) is investigated in this paper. Observability analysis is performed first. The observability condition for uniquely determining the emitter position and SRI is derived. The conditional Cramer-Rao Lower Bound (CRLB) is also analyzed. It is found that the ambiguity of the SRI integer of the first TOA does not affect the theoretical estimation precision of the emitter position and SRI. A Reference-Fixed Differential TOA (RFDTOA)-based Iterative Maximum Likelihood Estimator (IMLE) is proposed, which only needs O(M) computational operations. Theoretical analysis and simulation results show that the Mean Square Error (MSE) of the proposed algorithm could attain the CRLB with moderate Gaussian measurement noise.