The development of control methods based on data has seen a surge of interest in recent
years. When applying data-driven controllers in real-world applications, providing theoretical …

The fundamental lemma by Jan C. Willems and co-workers is deeply rooted in behavioral
systems theory and it has become one of the supporting pillars of the recent progress on …

In this letter we investigate data-driven predictive control of discrete-time linear descriptor
systems. Specifically, we give a tailored variant of Willems' fundamental lemma, which …

The necessity to obtain, to parametrize, and to maintain models of the underlying dynamics
impedes predictive control of energy systems in many real-world applications. To alleviate …

We use polynomial approximation theory to perform data-driven analysis and control of
linear, continuous-time invariant systems. We transform the continuous-time input …

The fundamental lemma by Willems and coauthors enables a parameterization of all
trajectories of a linear time-invariant system in terms of a single, measured one. This result …

Data‐driven predictive control based on the fundamental lemma by Willems et al. is
frequently considered for deterministic LTI systems subject to measurement noise. However …

We are given one input–output (io) trajectory (u, y) produced by a linear, continuous time-
invariant system, and we compute its Chebyshev polynomial series representation. We …

In this paper, a method to represent every input-output trajectory of a continuous-time linear
system in terms of previously collected data is presented. This corresponds to a continuous …

Nonparametric representations of dynamical systems based on the image of a Hankel matrix
of data are extensively used for data-driven control. However, if samples of data are missing …