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The Method of Dynamic Systems Reliability Modeling Based on Hybrid Theory and Interval Analysis

机译：基于混合理论和间隔分析的动态系统可靠性建模方法

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摘要

In engineering, the process of a dynamic system is formulated by a set of continuous variables and a set of discrete states and failure can be seen as the unexpected state in the process. Moreover, the discrete events and the continuous variables influence each other while the dynamic system is processing. On the other hand, the distributions of some system's parameters are hardly to obtain and it is also time-consumed to simulate the model even if the distribution is obtained due to the traditional sampling algorithms. These problems bring great difficulties in reliability modeling and analysis. In this paper, a method of non-probabilistic reliability modeling and analysis based on hybrid theory and interval analysis is proposed to solve the problems described above. Hybrid theory, which is proposed to solve the interaction between continuous and discrete and mainly applied in the field of control and computer, is utilized to build the reliability and performance integrated model. Interval analysis is utilized to describe the uncertainties. Combining with the advantages of hybrid theory and interval analysis, the method can be used to verify the reliability of system which is influenced by its continuous variable and discrete state. When the bounds on the uncertain information can be obtained readily, the method is particularly useful.
机译：在工程中，动态系统的过程由一组连续变量配制，并且一组离散状态和失败可以被视为过程中的意外状态。此外，在动态系统处理的同时，离散事件和连续变量彼此影响。另一方面，即使由于传统的采样算法而获得分布，某些系统参数的分布几乎没有获得并且也耗时以模拟模型。这些问题在可靠性建模和分析中带来了巨大困难。本文提出了一种基于混合理论和间隔分析的非概率可靠性建模和分析方法来解决上述问题。杂交理论，建议解决连续和离散和主要应用于控制和计算机领域之间的相互作用，用于构建可靠性和性能集成模型。间隔分析用于描述不确定性。结合混合理论和间隔分析的优点，该方法可用于验证由其连续变量和离散状态影响的系统的可靠性。当可以容易地获得不确定信息的界限时，该方法特别有用。

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