An optimal synchronous trajectory tracking controller was developed for multi-axis systems. The position synchronization error on each axis was defined as the position difference between this axis and the following ax...An optimal synchronous trajectory tracking controller was developed for multi-axis systems. The position synchronization error on each axis was defined as the position difference between this axis and the following axes. The following error of each axis, the synchronization error, and its derivative were considered in the cost function. A Riccati equation was deduced from the Hamilton-Pontryagin equation. The optimal control law was set up from the Riccati equation solution. Simulations of a two-axis system show that the synchronization error can be significantly reduced and the synchronization performance can be adjusted based on the parameters in the cost function.展开更多
针对北斗2导航卫星之间通过星间链路进行距离测量和时间同步以实现星座自主导航功能,提出了一种动态环境下基于伪码高精度距离测量和时间同步技术。它根据狭义相对论中光速不变基本原理,扩展了静态环境下双向测距和时间同步(Two-Way Ran...针对北斗2导航卫星之间通过星间链路进行距离测量和时间同步以实现星座自主导航功能,提出了一种动态环境下基于伪码高精度距离测量和时间同步技术。它根据狭义相对论中光速不变基本原理,扩展了静态环境下双向测距和时间同步(Two-Way Ranging and Time Transmit,TWRTT)技术,使之适用于北斗2导航卫星这样的动态环境之下。理论、仿真以及工程可实现性分析表明:利用该技术,北斗2导航卫星星间测距精度可达厘米级,时间同步精度优于1ns。展开更多
基金Supported by the National Natural Science Foundation of China(No. 50577037)
文摘An optimal synchronous trajectory tracking controller was developed for multi-axis systems. The position synchronization error on each axis was defined as the position difference between this axis and the following axes. The following error of each axis, the synchronization error, and its derivative were considered in the cost function. A Riccati equation was deduced from the Hamilton-Pontryagin equation. The optimal control law was set up from the Riccati equation solution. Simulations of a two-axis system show that the synchronization error can be significantly reduced and the synchronization performance can be adjusted based on the parameters in the cost function.
文摘针对北斗2导航卫星之间通过星间链路进行距离测量和时间同步以实现星座自主导航功能,提出了一种动态环境下基于伪码高精度距离测量和时间同步技术。它根据狭义相对论中光速不变基本原理,扩展了静态环境下双向测距和时间同步(Two-Way Ranging and Time Transmit,TWRTT)技术,使之适用于北斗2导航卫星这样的动态环境之下。理论、仿真以及工程可实现性分析表明:利用该技术,北斗2导航卫星星间测距精度可达厘米级,时间同步精度优于1ns。
