From System Level Synthesis to Robust Closed-loop Data-Enabled Predictive Control

Willems' fundamental lemma and system level synthesis both characterize a linear dynamic system by its input/output sequences. In this work, we show that the extension of the fundamental lemma in uncertain LTI systems is equivalent to the system level synthesis. Inspired by this observation, a robust closed-loop data-enabled predictive control scheme is proposed, where a novel formulation of causal feedback control law is further derived. Two numerical experiments, including the temperature control of a single-zone building, are carried out to validate the effectiveness of the proposed data-driven controller.