摘要
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)。
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.
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
2012年第4期63-67,共5页
Journal of National University of Defense Technology
基金
国家自然科学基金资助项目(71071159)
关键词
系统可靠性
MARKOV
KRYLOV子空间
航天测控通信系统
reliability analysis
Markov process
Krylov subspace
tracking, telemetry and command （TT＆C） and communication system
作者简介
作者简介：闫华（1983-），男，甘肃临潭人，博士研究生，E—mail：yanhua_8304@163．com；
武小悦（通信作者），男，教授，博士，博士生导师，E-mail：xiaoyuewucn@yahoo．com．cn
