论文标题

强大的事件触发控制以测量噪声

Robustifying Event-Triggered Control to Measurement Noise

论文作者

Scheres, Koen J. A., Postoyan, Romain, Heemels, W. P. Maurice H.

论文摘要

尽管文献中有许多事件触发的控制策略,但其中大多数设计忽略了测量噪声的存在。由于测量噪声在实践中无处不在,并且可能会产生有害的效果,例如,通过诱导闭环系统中的Zeno行为,并且由于事件间的时间缺乏正面的下限,因此实际上使事件触发的控制设计毫无用处,因此在文献中解决这一差距非常重要。为此,我们提出了一个通用框架,以设置受添加剂测量噪声影响的(分布式)事件触发的控制系统的稳定。结果表明,在一般条件下,可以设计无卫生的静态以及动态触发规则,以使闭环系统满足输入到状态的实用集合稳定性属性。我们通过证明在最小的活动间存在统一的严格较低下限来确保沸点柔性。将一般框架应用于点稳定和共识问题作为特定情况,我们表明,在与原始工作类似的假设下,现有方案可以重新设计以鲁棒性将其鲁棒化以测量噪声。因此,使用此框架,可以从头开始设计噪声触发条件,并通过简单地重新设计了几种重要的现有方案。提供了模拟结果,以说明这种新方法的优势。

While many event-triggered control strategies are available in the literature, most of them are designed ignoring the presence of measurement noise. As measurement noise is omnipresent in practice and can have detrimental effects, for instance, by inducing Zeno behavior in the closed-loop system and with that the lack of a positive lower bound on the inter-event times, rendering the event-triggered control design practically useless, it is of great importance to address this gap in the literature. To do so, we present a general framework for set stabilization of (distributed) event-triggered control systems affected by additive measurement noise. It is shown that, under general conditions, Zeno-free static as well as dynamic triggering rules can be designed such that the closed-loop system satisfies an input-to-state practical set stability property. We ensure Zeno-freeness by proving the existence of a uniform strictly positive lower-bound on the minimum inter-event time. The general framework is applied to point stabilization and consensus problems as particular cases, where we show that, under similar assumptions as the original work, existing schemes can be redesigned to robustify them to measurement noise. Consequently, using this framework, noise-robust triggering conditions can be designed both from the ground up and by simple redesign of several important existing schemes. Simulation results are provided that illustrate the strengths of this novel approach.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源