  Given the recent surge of interest in data-driven control, this paper
proposes a two-step method to study robust data-driven control for a
parameter-unknown linear time-invariant (LTI) system that is affected by
energy-bounded noises. First, two data experiments are designed and
corresponding data are collected, then the investigated system is equivalently
written into a data-based descriptor system with structured parametric
uncertainties. Second, combined with model-based control theory for descriptor
systems, state feedback controllers are designed for such data-based descriptor
system, which stabilize the original LTI system and guarantee the ${H_\infty}$
performance. Finally, a simulation example is provided to illustrate the
effectiveness and merits of our method.
