Data-driven Control of Dynamic Event-triggered Systems with Delays

Abstract

This paper studies data-driven control of unknown sampled-data systems with communication delays under an eventtriggering transmission mechanism. Data-based representations for stochastic linear systems with a known or an unknown system input matrix are first developed, along with a novel class of dynamic triggering schemes for sampled-data systems with time delays. A model-based stability condition for the resulting event-triggered time-delay system is established using a loopedfunctional approach. Combining this model-based condition with the data-driven representations, data-based stability conditions are derived. Building on the data-based conditions, methods for co-designing the controller gain and the event-triggering matrix are subsequently provided for both cases with or without using the input matrix. Finally, a numerical example is presented to corroborate the role of additional prior knowledge of the input matrix in reducing the conservatism of stability conditions, as well as the merits of our approaches relative to existing results.

Data-driven Control of Event-triggered Linear Systems

“…A data-driven resilient predictive controller against DoS attacks was developed in [27]. Data-driven control of event-triggered continuous-time systems with constant delays was recently investigated in [28], which was then extended to the case of the discrete-time domain by [29]. Thus far, it remains an unexplored territory to co-design data-driven distributed controllers as well as event-triggering transmission schemes for unknown discrete-time networked interconnected systems.…”