论文标题
事件触发的可观察性：设置会员视角
Event-triggered Observability: A Set-membership Perspective
论文作者
论文摘要
这项工作试图通过事件触发的测量来讨论线性时间不变系统的可观察性。一个新的可观察性概念，即，使用参数$ε$定义了$ε$ - 观察性，这与不仅基于接收到的测量值，而且是无效的情况下的事件触发条件中的隐式信息，这与最差的案例性能相关。开发了一个标准来测试所提出的离散时间线性系统的$ε$ - 可观察性，该系统基于迭代事件触发的设置会员观察者旨在评估包含状态所有可能值的集合。所提出的设定会员观察者设计为基于先前状态估计值和通过融合接收的测量和通信条件推断出的椭圆形的外部近似值，这在每个步骤的意义上都是最佳的，并且被证明是非限制的。通过数值实验验证了提出的事件触发的设置成员观察者的效率。
This work attempts to discuss the observability of linear time-invariant systems with event-triggered measurements. A new notion of observability, namely, $ε$-observability is defined with parameter $ε$, which relates to the worst-case performance of inferring the initial state based on not only the received measurement but also the implicit information in the event-triggering conditions at no-event instants. A criterion is developed to test the proposed $ε$-observability of discrete-time linear systems, based on which an iterative event-triggered set-membership observer is designed to evaluate a set containing all possible values of the state. The proposed set-membership observer is designed as the outer approximation of the ellipsoids predicted based on previous state estimates and the ellipsoids inferred by fusing the received measurement and communication conditions, which is optimal in the sense of trace at each step and is proved to be asymptotically bounded. The efficiency of the proposed event-triggered set-membership state observer is verified by numerical experiments.
