论文标题
事件触发的控制中的混乱和顺序
Chaos and order in event-triggered control
论文作者
论文摘要
与周期性采样相比，事件触发的控制（ETC）被据称可提供采样频率的巨大降低，但是关于其生成的流量，几乎没有什么知识。这项工作表明，ETC可能表现出非常复杂，甚至混乱的流量，尤其是当触发条件在减少通信方面具有侵略性时。首先，我们通过通过原点观察不变线和飞机及其吸引力来表征限制流量模式。然后，我们提出了基于抽象的方法来计算极限指标，例如限制平均值和限制定期等级的样本间时间（IST）（PETC），并考虑了此类指标的鲁棒性以及测量混乱的出现。该方法和工具使我们能够找到ETC的示例，这些示例可证明其平均IST的周期性采样。特别是对于PETC，我们证明这需要多个或混乱的交通。
Event-triggered control (ETC) is claimed to provide enormous reductions in sampling frequency when compared to periodic sampling, but little is formally known about its generated traffic. This work shows that ETC can exhibit very complex, even chaotic traffic, especially when the triggering condition is aggressive in reducing communications. First, we characterize limit traffic patterns by observing invariant lines and planes through the origin, as well as their attractivity. Then, we present abstraction-based methods to compute limit metrics, such as limit average and limit inferior inter-sample time (IST) of periodic ETC (PETC), with considerations to the robustness of such metrics, as well as measuring the emergence of chaos. The methodology and tools allow us to find ETC examples that provably outperform periodic sampling in terms of average IST. In particular for PETC, we prove that this requires aperiodic or chaotic traffic.
