Abstract: In order to solve the [H∞] output feedback control problem of event-triggered Markov type systems, Wirtinger’s inequality is used to estimate the upper bound of the weak infinitesimal operator of Lyapunov function by constructing Lyapunov function containing event- triggered and quantized output information. The stability criterion of event-triggered Markov network closed-loop system is obtained, and the output feedback controller design method is given. It satisfies the level of [H∞] disturbance suppression, which can effectively overcome the impact of disturbance on the system.

Key words: event-triggered, Markov type network control system, time delay, Wirtinger’s inequality;[H∞] output feedback control

摘要： 针对事件驱动马尔可夫型网络系统的输出反馈[H∞]控制问题，通过构造包含事件驱动和量化输出信息的李雅普诺夫函数，采用Wirtinger’s不等式估计李雅普诺夫函数的弱无穷小算子的上界，从而获得事情驱动马尔可夫型网络闭环系统稳定性判据，并给出满足[H∞]扰动抑制水平的输出反馈控制器设计方法，有效地克服了扰动给系统带来的影响。数值例子验证所提出的方法的有效性。

关键词: 事件驱动, 马尔可夫型网络控制系统, 时滞, Wirtinger&rsquo, s不等式, [H&infin, ]输出反馈控制