ABSTRACT This paper investigates the input-to-state stability (ISS) problem for a scalar continuous-time linear system with measurement noise under event-triggered sampling. The feedback information is transmitted through a digital communication network with bounded delay. Due to measurement noise, it is difficult to perfectly capture the system's state, which may harm the performance, and even destabilise the system. In order to deal with the measurement noise, a state observer is incorporated into the event generator. By designing the event-triggering strategy based on the observed state, the input-to-state stability of the concerned system can be ensured. We quantitatively analyse the required stabilising bit rate, which is mainly determined by the network delay and the system's dynamics. By selecting appropriate parameters of the event-triggered sampling strategy, the required stabilising bit rate is lower than the one by the conventional periodic sampling strategies. Due to the existence of measurement noise, extra bit rate is required compared with the case with perfect state. The bit rate increase of measurement noise can be arbitrarily reduced at the cost of the degraded control performance, which is measured by the ultimate upper bounds on the state. Simulations are done to illustrate the obtained stabilising bit rate conditions

中文翻译：

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基于事件触发的测量噪声稳定标量线性系统的比特率条件

摘要 本文研究了在事件触发采样下具有测量噪声的标量连续时间线性系统的输入状态稳定性 (ISS) 问题。反馈信息通过有界延迟的数字通信网络传输。由于测量噪声，很难完美捕捉系统的状态，这可能会损害性能，甚至使系统不稳定。为了处理测量噪声，在事件发生器中加入了状态观察器。通过设计基于观察状态的事件触发策略，可以确保相关系统的输入到状态的稳定性。我们定量分析了所需的稳定比特率，这主要由网络延迟和系统动态决定。通过选择适当的事件触发采样策略参数，所需的稳定比特率低于传统的周期性采样策略。由于测量噪声的存在，与完美状态的情况相比，需要额外的比特率。测量噪声的比特率增加可以任意降低，代价是控制性能下降，这是由状态的最终上限来衡量的。进行模拟以说明获得的稳定比特率条件 测量噪声的比特率增加可以任意降低，代价是控制性能下降，这是由状态的最终上限来衡量的。进行模拟以说明获得的稳定比特率条件 测量噪声的比特率增加可以任意降低，代价是控制性能下降，这是由状态的最终上限来衡量的。进行模拟以说明获得的稳定比特率条件