Abstract The event-based output-feedback control is studied for large-scale distributed networked nonlinear systems. All subsystems are described by interval type-2 (IT2) Takagi–Sugeno (T–S) model and communicate information to each other via distributed networks with time-varying transmission delays. The sampled rates of sensors and refresh rates of actuators are allowed to be different among subsystems. We propose an event-based control scheme in the sense that each subsystem determines its information transmission to other subsystems based on its local sampled output measurements. First, combined with the descriptor system and perturbed system approaches, an equivalent model transformation is established. Then, a relaxing Lyapunov functional is introduced by virtue of Wirtinger inequality. The corresponding co-design criteria are obtained in the form of linear matrix inequalities (LMIs), which guarantee stabilization of the closed-loop fuzzy control system with different sampling and updating rates while transmitting information via networks as little as possible. Furthermore, employing some bounding inequality techniques, a considerable reduction in the number of LMIs can be achieved. Finally, a practical application to a DC microgrid with three PV subsystems is exploited.

中文翻译：

---

受时间驱动零阶保持约束的大规模分布式非线性系统的基于事件的多速率控制

摘要 研究了大规模分布式网络非线性系统的基于事件的输出反馈控制。所有子系统都由区间类型 2 (IT2) Takagi-Sugeno (T-S) 模型描述，并通过具有时变传输延迟的分布式网络相互通信。允许传感器的采样率和执行器的刷新率在子系统之间不同。我们提出了一种基于事件的控制方案，因为每个子系统根据其本地采样输出测量确定其向其他子系统的信息传输。首先，结合描述符系统和扰动系统方法，建立等效模型转换。然后，借助 Wirtinger 不等式引入松弛的 Lyapunov 泛函。相应的协同设计准则以线性矩阵不等式 (LMI) 的形式获得，这保证了具有不同采样和更新率的闭环模糊控制系统的稳定性，同时尽可能少地通过网络传输信息。此外，采用一些有界不等式技术，可以显着减少 LMI 的数量。最后，开发了具有三个 PV 子系统的直流微电网的实际应用。