在单轴旋转惯导系统中,z向旋转轴陀螺漂移由于不能被旋转调制成影响系统导航性能的主要误差因素。另外,为了缓解对准过程中对准精度与对准时间的矛盾,在有限的对准时间内最大程度的保证对准精度并能够辨识出z轴陀螺漂移,该文提出了一种...在单轴旋转惯导系统中,z向旋转轴陀螺漂移由于不能被旋转调制成影响系统导航性能的主要误差因素。另外,为了缓解对准过程中对准精度与对准时间的矛盾,在有限的对准时间内最大程度的保证对准精度并能够辨识出z轴陀螺漂移,该文提出了一种静基座条件下,基于时间正逆向解算算法并通过增加航向角量测量,利用最小二乘法进行参数辨识的快速对准方法。该算法不仅能缩短对准时间,还能快速估计z轴陀螺漂移,提高导航精度。以现有的单轴旋转光纤陀螺惯导系统进行试验,结果表明,误差补偿后,系统定位精度提高了约24%,定位误差小于2 n mile/12 h。展开更多
A new algorithm for constructing an inverse of a multivariable linear system is presented. This algorithm makes the constructing an inverse of the higher order matrices into searching for the equivalent normal form o...A new algorithm for constructing an inverse of a multivariable linear system is presented. This algorithm makes the constructing an inverse of the higher order matrices into searching for the equivalent normal form of the lower order matrices. Consequently, the calculation is more simple efficient and programmed than previous methods. Another result of the paper is that the lower reduced inverse system is obtained, by selecting special bases of the observable space of the original systems, it reveals the effect of the observability of the original systems on the order of the inverse systems.展开更多
A coupled system of singularly perturbed convection-diffusion equations is considered. The leading term of each equation is multiplied by a small positive parameter, but these parameters may have different magnitudes....A coupled system of singularly perturbed convection-diffusion equations is considered. The leading term of each equation is multiplied by a small positive parameter, but these parameters may have different magnitudes. The solutions to the system have boundary layers that overlap and interact. The structure of these layers is analyzed, and this leads to the construction of a piecewise-uniform mesh that is a variant of the usual Shishkin mesh. On this mesh an upwind difference scheme is proved to be almost first- order accurate, uniformly in both small parameters. We present the results of numerical experiments to confirm our theoretical results.展开更多
文摘在单轴旋转惯导系统中,z向旋转轴陀螺漂移由于不能被旋转调制成影响系统导航性能的主要误差因素。另外,为了缓解对准过程中对准精度与对准时间的矛盾,在有限的对准时间内最大程度的保证对准精度并能够辨识出z轴陀螺漂移,该文提出了一种静基座条件下,基于时间正逆向解算算法并通过增加航向角量测量,利用最小二乘法进行参数辨识的快速对准方法。该算法不仅能缩短对准时间,还能快速估计z轴陀螺漂移,提高导航精度。以现有的单轴旋转光纤陀螺惯导系统进行试验,结果表明,误差补偿后,系统定位精度提高了约24%,定位误差小于2 n mile/12 h。
文摘A new algorithm for constructing an inverse of a multivariable linear system is presented. This algorithm makes the constructing an inverse of the higher order matrices into searching for the equivalent normal form of the lower order matrices. Consequently, the calculation is more simple efficient and programmed than previous methods. Another result of the paper is that the lower reduced inverse system is obtained, by selecting special bases of the observable space of the original systems, it reveals the effect of the observability of the original systems on the order of the inverse systems.
基金This research is supported by the National Natural Science Foundation of China(Grant No. 10301029, 10241003).
文摘A coupled system of singularly perturbed convection-diffusion equations is considered. The leading term of each equation is multiplied by a small positive parameter, but these parameters may have different magnitudes. The solutions to the system have boundary layers that overlap and interact. The structure of these layers is analyzed, and this leads to the construction of a piecewise-uniform mesh that is a variant of the usual Shishkin mesh. On this mesh an upwind difference scheme is proved to be almost first- order accurate, uniformly in both small parameters. We present the results of numerical experiments to confirm our theoretical results.
