Solving quaternion kinematical differential equations(QKDE) is one of the most significant problems in the automation, navigation, aerospace and aeronautics literatures. Most existing approaches for this problem neith...Solving quaternion kinematical differential equations(QKDE) is one of the most significant problems in the automation, navigation, aerospace and aeronautics literatures. Most existing approaches for this problem neither preserve the norm of quaternions nor avoid errors accumulated in the sense of long term time. We present explicit symplectic geometric algorithms to deal with the quaternion kinematical differential equation by modelling its time-invariant and time-varying versions with Hamiltonian systems and adopting a three-step strategy. Firstly,a generalized Euler's formula and Cayley-Euler formula are proved and used to construct symplectic single-step transition operators via the centered implicit Euler scheme for autonomous Hamiltonian system. Secondly, the symplecticity, orthogonality and invertibility of the symplectic transition operators are proved rigorously. Finally, the explicit symplectic geometric algorithm for the time-varying quaternion kinematical differential equation, i.e., a non-autonomous and non-linear Hamiltonian system essentially, is designed with the theorems proved. Our novel algorithms have simple structures, linear time complexity and constant space complexity of computation. The correctness and efficiencies of the proposed algorithms are verified and validated via numerical simulations.展开更多
传统的实时动态(Real Time Kinematic,RTK)定位技术通过数传电台在基准站与流动站之间传输差分数据,这样传输距离有限并且容易受到外界因素的干扰,从而影响定位精度。提出以S5PV210微处理器为核心,在Linux嵌入式平台下采用3G无线通信技...传统的实时动态(Real Time Kinematic,RTK)定位技术通过数传电台在基准站与流动站之间传输差分数据,这样传输距离有限并且容易受到外界因素的干扰,从而影响定位精度。提出以S5PV210微处理器为核心,在Linux嵌入式平台下采用3G无线通信技术在流动站与CORS中心建立数据链,实现了一种实用的RTK定位技术。介绍了终端机的系统结构及工作原理,阐述了硬件模块和软件系统的实现方法。该系统具有数据传输稳定、定位精度高、实用性强等特点。测试结果表明,该终端运行稳定并可以达到厘米级的定位精度。展开更多
双提梁机组协调控制系统利用对称布置的双频载波相位RTK-GPS(Real-Time Kinematic difference Global Position System)接收机完成对提梁机位置、航向位姿信息的测量,通过卡尔曼滤波与里程计融合,消除坐标定位信息的波动,提高位姿测定...双提梁机组协调控制系统利用对称布置的双频载波相位RTK-GPS(Real-Time Kinematic difference Global Position System)接收机完成对提梁机位置、航向位姿信息的测量,通过卡尔曼滤波与里程计融合,消除坐标定位信息的波动,提高位姿测定的精度;单机采用基于CAN(Controller Area Network)总线的网络控制系统,机组间数据传输采用无线网络,构成混合网络控制系统;采用基于双闭环的同步控制策略实现对两提梁机的同步协调控制.实际应用结果表明,两提梁机间相对位置偏差不超过0.1 m,相对航向角度偏差不超过0.1°.展开更多
基金supported by the Fundamental Research Funds for the Central Universities of China(ZXH2012H005)supported in part by the National Natural Science Foundation of China(61201085,51402356,51506216)+1 种基金the Joint Fund of National Natural Science Foundation of China and Civil Aviation Administration of China(U1633101)the Joint Fund of the Natural Science Foundation of Tianjin(15JCQNJC42800)
文摘Solving quaternion kinematical differential equations(QKDE) is one of the most significant problems in the automation, navigation, aerospace and aeronautics literatures. Most existing approaches for this problem neither preserve the norm of quaternions nor avoid errors accumulated in the sense of long term time. We present explicit symplectic geometric algorithms to deal with the quaternion kinematical differential equation by modelling its time-invariant and time-varying versions with Hamiltonian systems and adopting a three-step strategy. Firstly,a generalized Euler's formula and Cayley-Euler formula are proved and used to construct symplectic single-step transition operators via the centered implicit Euler scheme for autonomous Hamiltonian system. Secondly, the symplecticity, orthogonality and invertibility of the symplectic transition operators are proved rigorously. Finally, the explicit symplectic geometric algorithm for the time-varying quaternion kinematical differential equation, i.e., a non-autonomous and non-linear Hamiltonian system essentially, is designed with the theorems proved. Our novel algorithms have simple structures, linear time complexity and constant space complexity of computation. The correctness and efficiencies of the proposed algorithms are verified and validated via numerical simulations.
文摘传统的实时动态(Real Time Kinematic,RTK)定位技术通过数传电台在基准站与流动站之间传输差分数据,这样传输距离有限并且容易受到外界因素的干扰,从而影响定位精度。提出以S5PV210微处理器为核心,在Linux嵌入式平台下采用3G无线通信技术在流动站与CORS中心建立数据链,实现了一种实用的RTK定位技术。介绍了终端机的系统结构及工作原理,阐述了硬件模块和软件系统的实现方法。该系统具有数据传输稳定、定位精度高、实用性强等特点。测试结果表明,该终端运行稳定并可以达到厘米级的定位精度。
文摘双提梁机组协调控制系统利用对称布置的双频载波相位RTK-GPS(Real-Time Kinematic difference Global Position System)接收机完成对提梁机位置、航向位姿信息的测量,通过卡尔曼滤波与里程计融合,消除坐标定位信息的波动,提高位姿测定的精度;单机采用基于CAN(Controller Area Network)总线的网络控制系统,机组间数据传输采用无线网络,构成混合网络控制系统;采用基于双闭环的同步控制策略实现对两提梁机的同步协调控制.实际应用结果表明,两提梁机间相对位置偏差不超过0.1 m,相对航向角度偏差不超过0.1°.
