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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。
In the process of reliability analysis of aerospace measurement and control communication system based on Markov model, if the number of measurement and control communication devices in the system is large and the state space in the model increases exponentially with the number of devices, numerical calculation will be difficult. A reliability analysis method based on the improved Krylov subspace technology is proposed. The method uses the Arnoldi process to construct the orthogonal basis and adopts the differential recursive form similar to the ordinary differential equation. The local truncation error of the algorithm is analyzed and the calculation formula of iterative step length is proposed. Experimental results show that the improved Krylov subspace method simplifies the complexity of the problem and improves the reliability analysis accuracy and accuracy of the measurement and control communication system.