In an event-based scenario, a system decides when to update the actuators based on a real-time triggering condition (TC) on the measured signals. This condition can be defined in various forms and varies depending on the system properties and design problem. This paper proposes a framework to design the TC while keeping $\mathcal {L}_p$ performance within desired limits. Our general framework captures several existing state-based triggering rules as a special case, and it can achieve the performance objectives while reducing transmissions. Indeed, this general structure is shown to enlarge the minimum interevent time by a specified amount, for a desired period of time. Numerical examples suggest that the proposed mechanism effectively enlarges the average sampling time.

中文翻译：

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具有保证的最小事件间时间和 Lp 性能的事件触发设计

在基于事件的场景中，系统会根据测量信号的实时触发条件 (TC) 来决定何时更新执行器。该条件可以以各种形式定义，并根据系统属性和设计问题而变化。本文提出了一个框架来设计 TC，同时将 $\mathcal {L}_p$ 性能保持在所需的范围内。我们的通用框架捕获了几个现有的基于状态的触发规则作为特例，它可以在减少传输的同时实现性能目标。事实上，这种一般结构显示出在所需的时间段内将最小交互时间扩大指定的量。数值例子表明，所提出的机制有效地扩大了平均采样时间。