ABSTRACT This paper is concerned with the event-based finite-time control problem for a class of networked state-saturated switched systems subject to time delays, nonlinear perturbations and exogenous disturbances. The event-triggered transmission protocol is introduced to schedule the data transmission and so the communication network burdens can be mitigated. The state saturation restraints can be removed by means of transforming the original model into a new polyhedron system via a convex hull description approach. By considering two coupling cases between the mode switching signal and the event triggering signal, the sufficient finite-time performance analysis criterion is provided based on average dwell time (ADT) analysis technique. Then, an event-triggered state-feedback controller is designed to ensure that the closed-loop system is finite-time bounded and satisfies the specified disturbance attenuation performance. The desired controller can be obtained by solving a set of convex optimisation problems. Finally, a numerical example shows the usefulness of the theoretical results.

中文翻译：

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网络状态饱和切换系统的事件触发有限时间 H ∞ 控制

摘要 本文涉及一类受时间延迟、非线性扰动和外生干扰影响的网络状态饱和切换系统的基于事件的有限时间控制问题。引入事件触发传输协议来调度数据传输，因此可以减轻通信网络的负担。通过凸包描述方法将原始模型转换为新的多面体系统，可以消除状态饱和约束。通过考虑模式切换信号和事件触发信号之间的两种耦合情况，基于平均驻留时间（ADT）分析技术提供了充分的有限时间性能分析准则。然后，事件触发状态反馈控制器旨在确保闭环系统是有限时间有界的，并满足指定的扰动衰减性能。可以通过求解一组凸优化问题来获得所需的控制器。最后，一个数值例子显示了理论结果的有用性。