航天测控通信系统可靠性分析的改进Krylov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。提出了一种基于改进Krylov子空间技术的可靠性分析方法，该方法利用Arnoldi过程构造正交基，并采用了类似于常微分方程求解的差分递推形式。分析了算法的局部截断误差，提出了算法迭代步长的计算公式。实验结果证明，改进的Krylov子空间方法简化了问题复杂度，提高了测控通信系统的可靠性分析效率和精度。

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

Using Markov approach to evaluate the reliability of the spaceflight tracking, telemetry and command (TT&C) and communication system is very difficult due to Markov modeling techniques to suffer from the state explosive problem, if there are many components in the system. An improved reliability analysis method based on Krylov subspace is proposed, in which the Arnoldi process is used to construct orthogonal basis and an integration scheme in recursive form is adopted. The local truncation error is analyzed and the method of choosing step size is given. Examples prove that the proposed method reduces the problem complexity and achieves a good efficiency and accuracy.