This paper is concerned with the problem of protocol-based sliding mode control for a class of uncertain discrete networked Markovian jump systems with stochastic perturbation and time-varying delays. An improved dynamic uniform quantizer for processing system output signals is proposed to mitigate communication constraints. Next, a Round-Robin protocol with zero-order holders is introduced in the communication channels from the controller to the actuators to reduce potential network congestion and collision. Then, in the output feedback case, a new sliding surface is designed based on the quantized output, and a mode-dependent sliding mode controller is constructed using protocol scheduling signals. Additionally, a sufficient condition is derived to ensure that the closed-loop system is asymptotically stable in the mean square on a specific sliding surface despite the existence of the time-varying delays. Subsequently, the reachability of the state trajectories is guaranteed, where a sufficient criterion is proposed by constructing new Lyapunov-Krasovskii functional as well as using the stability theory. Furthermore, the cone complementary linearization iteration algorithm is employed to tackle the non-convex problem during the controller design. Finally, a simulation example demonstrate the effectiveness and feasibility of the protocol-based sliding mode control method.

本文研究一类具有随机扰动和时变延迟的不确定离散网络马尔可夫跳跃系统的基于协议的滑模控制问题。提出了一种用于处理系统输出信号的改进动态统一量化器，以减轻通信约束。接下来，在从控制器到执行器的通信通道中引入了具有零阶持有者的循环协议，以减少潜在的网络拥塞和冲突。然后，在输出反馈情况下，基于量化输出设计新的滑动面，并使用协议调度信号构建依赖于模式的滑动模式控制器。此外，推导出了一个充分条件来确保闭环系统在特定滑动面上的均方渐近稳定，尽管存在时变延迟。随后，通过构造新的 Lyapunov-Krasovskii 泛函以及使用稳定性理论，保证了状态轨迹的可达性。此外，在控制器设计过程中，采用锥互补线性化迭代算法来解决非凸问题。最后，仿真实例证明了基于协议的滑模控制方法的有效性和可行性。其中通过构造新的 Lyapunov-Krasovskii 泛函以及使用稳定性理论提出了充分准则。此外，在控制器设计过程中，采用锥互补线性化迭代算法来解决非凸问题。最后，仿真实例证明了基于协议的滑模控制方法的有效性和可行性。其中通过构造新的 Lyapunov-Krasovskii 泛函以及使用稳定性理论提出了充分准则。此外，在控制器设计过程中，采用锥互补线性化迭代算法来解决非凸问题。最后，仿真实例证明了基于协议的滑模控制方法的有效性和可行性。