  We propose a framework for the design of feedback controllers that combines
the optimization-driven and model-free advantages of deep reinforcement
learning with the stability guarantees provided by using the Youla-Kucera
parameterization to define the search domain. Recent advances in behavioral
systems allow us to construct a data-driven internal model; this enables an
alternative realization of the Youla-Kucera parameterization based entirely on
input-output exploration data. Perhaps of independent interest, we formulate
and analyze the stability of such data-driven models in the presence of noise.
The Youla-Kucera approach requires a stable "parameter" for controller design.
For the training of reinforcement learning agents, the set of all stable linear
operators is given explicitly through a matrix factorization approach.
Moreover, a nonlinear extension is given using a neural network to express a
parameterized set of stable operators, which enables seamless integration with
standard deep learning libraries. Finally, we show how these ideas can also be
applied to tune fixed-structure controllers.
