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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 of a class of networked control systems with stochastic communication delay are discussed. The network induced delay is controlled by a Markov chain with unknown probability distribution. The probability distribution can be calculated by Baum-Welch algorithm. Based on the hidden Markov model theory, the closed loop network control system with state feedback is modeled as a transitional linear system. The sufficient conditions for the stochastic stability of the networked control system are given. The problem of solving the state feedback controller is transformed into The Problem of Solutions to Linear Matrix Inequalities. Finally, a simulation example is used to illustrate the validity of the above system stability criteria.