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研究了基于不确定马尔科夫模型的多包传输网络化系统故障检测问题.通过引入传输矩阵形式,部分转移概率矩阵元素未知的马尔科夫跳系统模型被用来描述相邻采样周期不同数据包传输时的相关特性.基于获得的模型,利用李雅普若夫方法和随机分析技巧,建立了线性矩阵不等式形式充分条件,所得扩展的误差系统满足随机稳定性和H∞扰动水平.特别的,本文的结论可以包含经典马尔科夫模型和切换模型作为其特例.最后通过仿真例子说明了所用方法的有效性.
This paper studies fault detection of multi-packet transmission networked systems based on uncertain Markov model. By introducing the form of transmission matrix, Markov hop system model with unknown part transition probability matrix elements is used to describe the different data packets Based on the model obtained, the Lyapunov method and stochastic analysis techniques are used to establish the sufficient condition of the form of linear matrix inequalities, and the resulting extended error system satisfies the stochastic stability and H∞ disturbance level.In particular, the conclusion of this paper The classical Markov model and the switching model can be included as special cases.Finally, the simulation examples show the effectiveness of the proposed method.