  Stability enforcement remains a challenge in data-driven control paradigms,
where no parametrised model of the system is available. For instance, the
system's instabilities can be estimated in order to enforce a closed-loop
stability constraint on the controller reduction step. In order to avoid this
preliminary estimation of instabilities, this paper proposes to embed a
closed-loop stability constraint in the design. To that extent, an optimization
problem is formulated in order to improve matching between the reference model
and the closed-loop while maintaining internal stability. The proposed
iterative procedure to solve this problem is illustrated on two numerical
examples.
