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.     

基于旋转高频信号注入法的内置式永磁同步电机低速段转子位置检测及其误差补偿

旋转高频信号注入法注入信号较为稳定,且位置估计过程不依赖电机参数,因而十分适用于内置式永磁同步电机(IPMSM)的零、低速转子位置检测。针对传统高频信号注入法无法辨别磁极的问题,用电压方波注入法检测磁极,结合有限元软件仿真,来合理选取方波电压幅值和时长,有效缩短了磁极判断耗时。分析了滤波器和信号离散化对位置估计精度的影响,提出在低速段可用线段拟合带通滤波器中心频率处的相频特性曲线,推导所需补偿角度与电机转速的关系。在理论分析的基础上,采用基于DSP28335的样机平台进行试验,结果表明磁极判断过程稳定,耗时较短,补偿后的位置估计值相比补偿前有明显改善,调速过程中系统动态性能良好。     

基于离散反电动势估计的永磁同步电机无速度传感器控制

针对高速永磁同步电机(PMSM)的无速度传感器控制问题,提出了一种基于离散反电动势估计的PMSM无速度传感器控制策略。实施离散反电动势估计的设计有三点:首先,设计了离散dq电流观测器以消除反电动势估计中的电感交叉耦合效应;然后,设计了延迟补偿模型以补偿数模转换引起的电压误差,同时设计了较为精确的离散模型,以克服由数字实现导致的估计反电动势和实际反电动势之间的偏差;最后,开展了高速PMSM驱动试验,试验结果验证了所提出的高速PMSM无速度传感器控制方案的性能。     

Satellite proximate interception vector guidance based on differential games

This paper studies the proximate satellite interception guidance strategies where both the interceptor and target can perform orbital maneuvers with magnitude limited thrusts. This problem is regarded as a pursuit-evasion game since satellites in both sides will try their best to capture or escape. In this game, the distance of these two players is small enough so that the highly nonlinear earth-centered gravitational dynamics can be reduced to the linear Clohessy-Wiltshire (CW) equations. The system is then simplified by introducing the zero effort miss variables. Saddle solution is formulated for the pursuit-evasion game and time-to-go is estimated similarly as that for the exo-atmospheric interception. Then a vector guidance is derived to ensure that the interception can be achieved in the optimal time. The proposed guidance law is validated by numerical simulations.     

带角度约束的多飞行器编队协同拦截制导律设计

针对多枚飞行器协同拦截同一目标的问题,在最优控制与时间调整相结合的基础上,设计了一种带有时间约束与角度约束的协同制导律。首先,在初始时刻(或中段制导结束时刻),根据初始状态及终端角度约束情况,以指定策略为编队中的各飞行器分配拦截角度。其次,采用线性化最优控制的设计方法,解算带有拦截角度约束的最优导引指令。最后,在求解针对运动目标的飞行器剩余时间估计的基础上,根据一致性的方法推导时间调整项的导引指令。仿真结果表明,在典型背景下,设计的制导律能够使多枚飞行器以特定的编队构型协同拦截同一目标,从而有效提高拦截概率。