Correlation-weighted least squares residual algorithm for RAIM

The Least Squares Residual (LSR) algorithm, one of the classical Receiver Autonomous Integrity Monitoring (RAIM) algorithms for Global Navigation Satellite System (GNSS), presents a high Missed Detection Risk (MDR) for a large-slope faulty satellite and a high False Alarm Risk (FAR) for a small-slope faulty satellite. From the theoretical analysis of the high MDR and FAR cause, the optimal slope is determined, and thereby the optimal test statistic for fault detection is conceived, which can minimize the FAR with the MDR not exceeding its allowable value. To construct a test statistic approximate to the optimal one, the Correlation-Weighted LSR (CW-LSR) algorithm is proposed. The CW-LSR test statistic remains the sum of pseudorange residual squares, but the square for the most potentially faulty satellite, judged by correlation analysis between the pseudorange residual and observation error, is weighted with an optimal-slope-based factor. It does not obey the same distribution but has the same non-central parameter with the optimal test statistic. The superior performance of the CW-LSR algorithm is verified via simulation, both reducing the FAR for a small-slope faulty satellite with the MDR not exceeding its allowable value and reducing the MDR for a large-slope faulty satellite at the expense of FAR addition.     

用于卫星导航多星故障识别的新方法

 通过分析广义似然比方法,指出该方法不能用于多星故障识别。为能够快速识别多颗故障卫星,提高卫星导航定位系统的可靠性,提出了一种可以用于多颗故障卫星识别的接收机自主完整性监测（RAIM）的新方法——假设验证法。该方法对所有可能的故障卫星组合进行假设验证,对每种假设的故障卫星组合计算出卫星伪距偏差,然后利用此偏差构造一个新的奇偶残差矢量,最后利用特定的故障识别准则进行判断。以识别2颗故障卫星和识别3颗故障卫星为例进行了计算机仿真,结果显示：假设验证法故障正确识别率高于85%,高于现有的可用于多星故障识别的最优奇偶矢量法,可以有效提高卫星导航系统的可靠性。同时,与最优奇偶矢量法相比,假设验证法不需要求取矩阵广义特征向量,计算量将减少90%以上。     

基于奇异值分解的接收机自主完好性监测算法

基于最小二乘法残差的接收机自主完好性监测（receiver autonomous integrity monitoring，RAIM）算法本质是一种基于伪距残差矢量的一致性监测算法，但由于残差矢量中各分量具有一定的关联性，掩饰了某些重要的不一致性信息。为了消除这种关联性，提出了一种基于奇异值分解的接收机自主完好性监测方法。在方法中利用奇异值分解对伪距观测矩阵中的观测系数矩阵进行分解，获得奇异值空间矢量和奇异值空间矩阵。基于奇异值空间矢量构造能够直接反映故障卫星偏差信息的检验统计量，从而可以简便地进行粗差监测，更好地满足完好性监测需求。鉴于实际中完好性故障包含运控系统故障、导航系统故障、信号传播异常以及地面接收处理故障等多类因素，以脉冲型和阶跃型两种故障方式进行基于奇异值分解的RAIM故障检测与识别，并开展仿真分析研究。结果表明，提出的方法能够正确检测、识别故障卫星，在特定参数下能够达到很好的故障识别率，即当误警概率设置为1×10-5/h、引入阶跃故障误差为25 m时，算法能够实现98.8%的故障识别率。     

GNSS最优载波相位平滑伪距研究

平滑常数是影响载波相位平滑伪距精度的关键参数,实际数据处理时主要依据经验设定平滑常数。这种主观设定过程缺乏理论依据,无法达到最优平滑效果。针对此问题,以适用于实时GNSS载波相位平滑伪距的经典Hatch递推滤波算法为基础,在连续时间域上分析了载波相位平滑伪距误差的主要构成,给出了总误差估算公式,分析了平滑常数对平滑精度的影响传导机制。进一步,采用令平滑总误差最小为目标的极值法推导给出了最优载波相位平滑常数的计算公式,给出了最优载波相位平滑伪距的完整处理步骤。最优平滑常数算法在数学意义上最优,大幅压缩了伪距测量误差,又不会引入过大的电离层发散误差。通过两个实际算例,证明了算法有效性。     

北斗接收机伪距与伪距率的计算及其误差补偿

接收机伪距与伪距率的计算和误差补偿是进行北斗系统应用开发的关键之一。本文利用北斗卫星播发的星历等导航电文数据,计算得到北斗卫星位置与速度等信息,对接收机伪距误差补偿,并计算得到伪距率。利用卫星的位置、速度,得到伪距和伪距率的误差值,验证了伪距和伪距率的有效性。     

飞行/推进系统分散控制优化设计及鲁棒性分析

以一种短距起降战斗机的飞行/推进综合控制系统设计为背景,对分散控制如何保持集中控制的性能和鲁棒性的问题提出利用优化的思想设计分散控制器.首先采用遗传算法设计集中控制器,作为分散控制的性能参考,然后给出具有接口变量的分散控制器设计方法,通过分析得出影响分散控制性能的关键因素,并通过数学推导得到以频率加权矩阵为设计参数的分散控制性能表达式,将分散控制器设计转化为优化问题,采用遗传算法求解得到分散控制器.分散控制器设计中同时用到了一种改进的平衡降阶方法.通过仿真和结构奇异值分析验证了这种优化设计方法可使分散控制达到集中式控制的性能和鲁棒性.      

Analysis of airborne GPS multipath effects using high-fidelity EM models

Airborne GPS systems are being upgraded to provide sufficient positioning accuracy to support automatic landing operations in low visibility conditions. This is made possible by differential GPS (DGPS), in which the errors common to the airborne receiver and ground station are removed by knowledge of the latter's precise location. However, errors specific to the airborne system remain, of which the dominant components are receiver noise and multipath. To support the assessment of the integrity of the signal in space, these residual errors are incorporated in a statistically based error model, designated as the "standard model." The standard model is defined as the standard deviation of a Gaussian distribution that overbounds the residual pseudo-range (PR) error. It relates the standard deviation of the overbounding distribution to the elevation angle of the satellite relative to the local level coordinate system. The international community is currently developing improved standards to enable DGPS systems to support landings in the worst visibility conditions (i.e., CAT III). As a part of this development, the standard model for multipath is being re-evaluated and an improved model is sought. In order to better characterize the residual multipath errors, tools for accurate calculation of the airframe scattering effects are needed. Development of such tools is the subject of this paper. A new method for accurately computing pseudo-range error, based on the use of high-fidelity EM models, is described. This approach provides new insight into the mechanisms causing multipath error.     

基于协同进化粒子群和Pareto最优解的卫星编队队形重构方法

针对卫星编队自主队形重构问题,提出了基于协同进化粒子群优化(CPSO)和Pareto最优解的求解方法.首先,使用Legendre伪谱法(LPM)将队形重构问题离散化为非线性规划(NLP)问题;其次,根据卫星编队的特点及碰撞规避的需要,使用CPSO算法对重构问题采用既独立又集中的求解方式,避免了传统优化方法对梯度的求解;...     

An alternative closed-form solution to the GPS pseudo-rangeequations

In the four satellite Global Positioning System (GPS) problem, the system of pseudo-range equations is shown to be equivalent to a system of two linear equations together with a range difference and pseudo-range equation. The formulation represents the user's position as the intersection of two planes and a hyperbola branch of revolution. The formulation is three-dimensional and includes almost all degenerate and special case geometries. It provides geometric insight into the characteristics of the solutions and resolves existence and uniqueness questions regarding solution of the pseudo-range equations     

基于能量最优的敏捷遥感卫星在轨任务规划

针对敏捷遥感卫星对多个离散观测点在轨自主任务规划问题,在考虑姿态运动方程耦合性的基础上,将问题分解为空间资源调度问题和连续最优控制问题,进而提出了一种结合伪谱法和遗传算法的混合求解算法。该算法针对基于行商问题(TSP)模型建立的空间资源调度问题模型,选用二维编码结构对观测顺序和相对观测时间进行实数编码,并采用遗传算法求解观测序列和观测时间;针对判断观测时间可行性时涉及的时间最优控制问题、以及姿态转移过程中涉及的最小能量消耗问题,将其归结为连续最优控制问题,并基于Gauss伪谱协态变量映射定理,采用Gauss伪谱法进行求解。通过与基于单纯遗传算法的规划算法进行对比试验,本文所提出的基于伪谱法和遗传算法的混合求解策略针对目标问题,在典型工况下姿态转移过程中能量消耗降低60%。     

INTEGRATED GPS/INS OF PSEUDO-RANGE DELTA-RANGE SEMI-PHYSICAL SIMULATION'S RESEARCH

In order to further study the performance of tightly integrated navigation system of GPS/INS, a semi-physical simulation of tightly coupled system has been done based on the data gathered from the experiment of integrated system of GPS and INS. The closed-loop Kalman Filter and U-D discompose algorithm have been used. The simulation results associated to four integrated models of pseudo-range, delta-range, pseudo-range and delta-range alternation, and pseudo-range and delta-range synthesis have been provided, and the actual effects of variously integrated models have been analyzed. The results show that the pseudo-range and delta-range synthesis coupled model is the most effective to improve the coupled system performance and the individual delta-range coupled model had better be avoided in application.     

Position Error Bound Calculation for GNSS using Measurement Residuals

In safety-of-life applications of satellite navigation, the protection level (PL) equation translates what is known about the pseudo-range errors into a reliable limit on the positioning error. The current PL equations for satellite-based augmentation systems (SBAS) rely on Gaussian statistics. This approach is very practical: the calculations are simple and the receiver computation load is small. However, when the true distributions are far from Gaussian, such a characterization forces an inflation of the PLs that degrades performance. This happens in particular with errors with heavy tail distributions or for which there is not enough data to evaluate the distribution density up to small quantiles. We present a way of computing the optimal protection level when the pseudo-range errors are characterized by a mixture of Gaussian modes. First, we show that this error characterization adds a new flexibility and helps account for heavy tails without losing the benefit of tight core distributions. Then, we state the positioning problem using a Bayesian approach. Finally, we apply this method to PL calculations for the wide area augmentation system (WAAS) using real data from WAAS receivers. The results are very promising: vertical PLs are reduced by 50% without degrading integrity.     

基于INS/GNSS紧耦合组合的逐步诱导式欺骗检测算法研究

传统惯性辅助GNSS欺骗信号检测方法对小于纯惯导误差漂移的逐步拉偏不敏感。针对这一问题,提出了一种基于INS/GNSS紧耦合组合的逐步诱导式欺骗信号检测方法。基于短时间内纯惯性导航结果和短时间惯导系统位置误差传播模型,利用惯导提供的位置和速度对伪距和伪距率时间序列进行预测估算,并结合伪距、伪距率实际测量结果,分别构造位置/伪距和速度/伪距率时间序列模型做参数拟合。基于真实信号得到的模型参数都是由惯导系统误差造成的,具有一致性;而基于逐步诱导式欺骗信号得到的模型参数还与欺骗策略的设定、载体飞行轨迹的观测以及干扰源的位置有关,具有不一致性。通过对比模型参数可判别欺骗信号的存在,对于真实信号,采用紧耦合组合导航修正INS输出;对于欺骗信号,继续惯性导航并采取相应措施。最后,根据逐步诱导式欺骗原理进行实验仿真,验证了算法的可行性和有效性。     

INTEGRATED GPS/INS OF PSEUDO-RANGE DELTA-RANGE SEMI-PHYSICAL SIMULATION'S RESEARCH

In order to further study the performance of tightly integrated navigation system of GPS/INS, a semi-physical simulation of tightly coupled system has been done based on the data gathered from the experiment of integrated system of GPS and INS. The closed-loop Kalman Filter and U-D discompose algorithm have been used. The simulation results associated to four integrated models of pseudo-range, delta-range, pseudo-range and delta-range alternation, and pseudo-range and delta-range synthesis have been provided, and the actual effects of variously integrated models have been analyzed. The results show that the pseudo-range and delta-range synthesis coupled model is the most effective to improve the coupled system performance and the individual delta-range coupled model had better be avoided in application.     

卫星授时与时间传递技术进展

近年来,卫星导航技术发展迅速.卫星导航系统以精密时间测量技术为基础,实现了伪距测量,进而实现定位.同时,卫星导航系统还提供了高精度授时功能.综述了卫星导航系统的授时和时间频率传递技术、基于通信卫星的授时技术以及双向卫星时间频率传递(TWSTFT)技术等.随着我国北斗卫星导航系统(BDS)的建成和提供服务,BDS授时应用研究正在快速发展.基于BDS/GNSS多系统的精密单点定位(PPP)时间传递技术已成为重点研究方向,未来将会应用于国际时间比对.同时,随着卫星通信技术尤其是低轨通信卫星技术的快速发展,低轨通信卫星授时会成为一个有潜力的研究方向.     

能量法和加权残值法的联合应用——构造有限元的新途径

 本文将能量法和加权残值法结合起来(记为EWR方法),构造非协调位移元,特点是(1)做法简便——用加权残值法来放松单元间位移连续条件。可使能量泛函中不再包含不协调位移引起的能量贡献项,于是单元只有位移一类变量。(2)使用可靠——由于将加权残值法与能量泛函统一考虑.权残方程可赋予明确的物理意义。一方面。适当选择权函数,权残方程的满足就意味着非协调元收敛准则的满足。另一方面,变换权函数,可将现有各种位移型单元纳入EWR方法的统一形式中。     

基于气压高度辅助的机载自主完好性监测算法

卫星接收机自主完好性监测是指根据用户接收机的多余观测值监测用户定位结果的完好性,其目的是在导航过程中检测出发生故障的卫星,并保障导航定位精度。针对卫星接收机自主完好性监测算法可用性不足的问题,结合机载实际导航系统配置,提出了一种基于气压高度表辅助的机载自主完好性监测算法。综合利用卫星导航系统及气压高度表观测信息,建立联合系统的观测模型,推导了基于多解分离的完好性监测及保护级别计算方法。仿真结果表明,相比于传统的接收机自主完好性监测算法,该算法在可见星为5颗时仍能识别故障卫星。该算法具有更好的故障检测能力及可用性,能有效提高卫星导航系统的完好性监测性能,从而保证卫星导航系统的精度和可靠性。     

空间环境对超低轨道卫星轨迹规划的影响

针对超低轨道卫星受空间环境影响显著,对特定目标的轨迹规划难度大的问题,分析了经验大气模型中空间环境参数预报的预报误差以及空间环境参数预报对轨迹规划的影响.在目前空间环境参数预报的误差特性的基础上,建立了轨道控制量和空间环境参数双变量的轨迹评估规划的算法,通过轨迹规划评估后选取最优轨迹规划方案.该算法能够很好地适应空间环境参数的变化,降低空间环境参数预报误差带来的轨道控制风险.目前,该算法已在某超低轨道卫星的轨迹规划中得到成功应用,对需要考虑空间环境因素影响的较低轨道卫星的轨迹规划与控制具有一定的借鉴意义.     

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。     

适于低轨卫星IP网络的单核共享树组播算法(英文)

为了解决低轨卫星IP网络中现有典型源组播算法的信道资源浪费问题,本文提出了一套单核共享树组播算法,即核心群合并共享树(CCST)和加权核心群合并共享树(w-CCST)算法。CCST 算法包括动态近似中心(DAC)选核方法和核心群合并组播路径构建方法。DAC方法专为周期、规律运动的低轨卫星网络提出,不需要复杂的星上计算。在核心群合并方法中,以核节点作为初始核心群,通过核心群和剩余组成员的最短路径方法逐步扩展直至整棵组播树构建完成,从而使得组播树的树代价最小,大大提高了网络的带宽利用率和组播传输效率。w-CCST 算法中所提出的加权因子可以调整树代价和端到端传播时延之间的折衷程度,因此,可以通过调整加权因子来适度增大树代价、降低端到端传播时延以支持某些端到端时延要求苛刻的实时组播业务。最后,与低轨卫星 IP 网络中典型算法进行了性能比较,仿真结果说明,CCST 算法的平均树代价比其它算法显著降低,w-CCST 算法的平均端到端传播时延小于 CCST 算法。