  Distributed linear control design is crucial for large-scale cyber-physical
systems. It is generally desirable to both impose information exchange
(communication) constraints on the distributed controller, and to limit the
propagation of disturbances to a local region without cascading to the global
network (localization). Recently proposed System Level Synthesis (SLS) theory
provides a framework where such communication and localization requirements can
be tractably incorporated in controller design and implementation. In this
work, we derive a solution to the localized and distributed H2 state feedback
control problem without resorting to Finite Impulse Response (FIR)
approximation. Our proposed synthesis algorithm allows a column-wise
decomposition of the resulting convex program, and is therefore scalable to
arbitrary large-scale networks. We demonstrate superior cost performance and
computation time of the proposed procedure over previous methods via numerical
simulation.
