This paper deals with sliding mode control for networked Markovian jump systems with partially-known transition probabilities via an event-triggered scheme to reduce network bandwidth usage and save network resources. First, based on the analysis of event-triggered scheme and sliding mode control, a corresponding time-delay system model is constructed by investigating the effect of the network transmission delay. Then, the less-conservative mean-square asymptotic stability of the overall closed-loop system is established. Sufficient conditions are obtained to co-design both the switching function and trigger parameters. Simultaneously, a novel control scheme is used to handle the Markovian jump parameters. Cases of completely known or unknown probabilities transition probabilities are also presented. Furthermore, the reachability of the sliding surface under the event-triggered sliding mode controller is analyzed using the Lyapunov stability theory. Finally, simulation results are provided to verify the effectiveness of the proposed design schemes.

本文通过事件触发方案处理具有部分已知转移概率的网络马尔可夫跳跃系统的滑模控制，以减少网络带宽使用并节省网络资源。首先，在分析事件触发方案和滑模控制的基础上，通过研究网络传输时延的影响，建立了相应的时延系统模型。然后，建立了整个闭环系统的保守度较低的均方渐近稳定性。获得了足够的条件来共同设计开关功能和触发参数。同时，一种新颖的控制方案被用于处理马尔可夫跳跃参数。还介绍了完全已知或未知概率的情况。此外，利用李雅普诺夫稳定性理论分析了在事件触发的滑模控制器下滑动面的可达性。最后，提供了仿真结果以验证所提出设计方案的有效性。