Abstract:

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.