航天测控通信系统可靠性分析的Krylov子空间投影算法

基于Markov模型对航天测控通信系统进行可靠性分析的过程中,若系统中测控通信设备数量较多,模型中的状态空间随设备数量呈指数增长,将会导致数值计算困难.提出了一种基于Krylov子空间技术的可靠性分析方法,将大规模问题投影至小规模子空间中,求得问题的近似解.实验结果证明,Krylov子空间方法的计算速度及精度优于Ross方法和前向Euler法(forward Euler method,FEM).

Krylov subspace projection algorithm of reliability analysis of TT&C and communication system

Using Markov model to evaluate reliability of the tracking,telemetry and command(TT&C) and communication system is very difficult if there are many facilities in system,due to the fact that Markov modeling techniques suffer from the state explosion problem.In light of this,a reliability analysis method based on Krylov subspace is proposed;the main idea of this method is projecting the initial problem to a smaller subspace for the obtaining of an approximating result.Examples prove that the proposed method performs better than Ross method and Forward Euler Method,and it can achieve a good efficiency and accuracy.