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arXiv · 1801.05521

Event-triggered Control of Infinite-dimensional Systems

Masashi Wakaiki·Hideki Sano
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Abstract

This paper addresses the problem of event-triggered control for infinite-dimensional systems. We employ event-triggering mechanisms that compare the plant state and the error of the control input induced by the event-triggered implementation. Under the assumption that feedback operators are compact, a strictly positive lower bound on the inter-event times can be guaranteed. We show that if the threshold of the event-triggering mechanisms is sufficiently small, then the event-triggered control system with a bounded control operator and a compact feedback operator is exponentially stable. For infinite-dimensional systems with unbounded control operators, we employ two event-triggering mechanisms that are based on system decomposition and periodic event-triggering, respectively, and then analyze the exponential stability of the closed-loop system under each event-triggering mechanism.

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Masashi Wakaiki, Hideki Sano. 2018-01-17. Event-triggered Control of Infinite-dimensional Systems. https://arxiv.org/abs/1801.05521

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