基于隐马尔可夫的网络控制系统稳定性分析(英文)

Stability analysis of networked control systems based on hidden Markov models

讨论了一类具有随机通信时延的网络控制系统的建模及稳定性分析,其中网络诱导时延受控于一概率分布未知的马尔可夫链,其概率分布可通过Baum-Welch算法计算。基于隐马尔可夫模型理论,将采用状态反馈的闭环网络控制系统建模成跳变线性系统,给出了这类网络控制系统随机稳定的充分条件,并将状态反馈控制器的求解问题转化为线性矩阵不等式的解的问题。最后,通过一个仿真算例说明了上述判定系统稳定性条件的有效性。

The modeling and stability analysis for a kind of networked control systems （NCSs） with random communication delays are discussed. The network-induced delays are considered to be governed by an underlying Markov chain with unknown probability distribution, which can be calculated by using Baum-Welch algorithm. Based on hidden Markov model （HMM） theory, the resulting closed-loop systems are jump linear systems, and the sufficient conditions on the existence of the stabilizing controller are established by solving a set of linear matrix inequalities （LMIs）. Finally, a numerical example is given to show the efficiency and feasibility of our proposed approach.