This paper addresses event-triggered data transmission in a class of large-scale networked nonlinear systems with transmission delays and nonlinear interconnections. Each nonlinear subsystem in the considered large-scale system is represented by a Takagi–Sugeno model, and exchanges its information through a digital channel. We propose an event-triggering mechanism, which determines when the premise variables and system states should be transmitted to the controller. Our goal is to design a decentralized event-triggered state-feedback fuzzy controller, such that the resulting closed-loop fuzzy control system is asymptotically stable while the measured information is transmitted to the controller as little as possible. By using the input delay and perturbed system approaches, the closed-loop sampled-data fuzzy system with event-triggered control is first reformulated into a continuous-time system with time-varying delay and extra disturbance. Then, based on the new model, we introduce a Lyapunov–Krasovskii functional with virtue of Wirtinger's inequality, where not all of the Lyapunov matrices are required to be positive definite. The codesign result is derived to obtain simultaneously the controller gains, sampled period, network delay, and event-triggered parameter in terms of a set of linear matrix inequalities. Finally, two simulation examples are provided to validate the advantage of the proposed method.

中文翻译：

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大规模网络模糊系统的分散事件触发控制

本文讨论了一类具有传输延迟和非线性互连的大规模网络非线性系统中的事件触发数据传输。所考虑的大规模系统中的每个非线性子系统都由 Takagi-Sugeno 模型表示，并通过数字渠道交换其信息。我们提出了一种事件触发机制，该机制确定何时应将前提变量和系统状态传输到控制器。我们的目标是设计一个分散的事件触发状态反馈模糊控制器，使得最终的闭环模糊控制系统渐近稳定，同时尽可能少地将测量信息传输到控制器。通过使用输入延迟和扰动系统方法，具有事件触发控制的闭环采样数据模糊系统首先被重新表述为具有时变延迟和额外扰动的连续时间系统。然后，基于新模型，我们引入了具有 Wirtinger 不等式的 Lyapunov-Krasovskii 泛函，其中并非所有的 Lyapunov 矩阵都需要是正定的。推导出协同设计结果，以根据一组线性矩阵不等式同时获得控制器增益、采样周期、网络延迟和事件触发参数。最后，提供了两个仿真实例来验证所提出方法的优点。s 不等式，其中并非所有的 Lyapunov 矩阵都必须是正定的。推导出协同设计结果，以根据一组线性矩阵不等式同时获得控制器增益、采样周期、网络延迟和事件触发参数。最后，提供了两个仿真实例来验证所提出方法的优点。s 不等式，其中并非所有的 Lyapunov 矩阵都必须是正定的。推导出协同设计结果，以根据一组线性矩阵不等式同时获得控制器增益、采样周期、网络延迟和事件触发参数。最后，提供了两个仿真实例来验证所提出方法的优点。