  We propose a new decentralized control scheme for DC Islanded microGrids
(ImGs) composed by several Distributed Generation Units (DGUs) with a general
interconnection topology. Each local controller regulates to a reference value
the voltage of the Point of Common Coupling (PCC) of the corresponding DGU.
Notably, off-line control design is conducted in a Plug-and-Play (PnP) fashion
meaning that (i) the possibility of adding/removing a DGU without spoiling
stability of the overall ImG is checked through an optimization problem; (ii)
when a DGU is plugged in or out at most neighbouring DGUs have to update their
controllers and (iii) the synthesis of a local controller uses only information
on the corresponding DGU and lines connected to it. This guarantee total
scalability of control synthesis as the ImG size grows or DGU gets replaced.
Yes, under mild approximations of line dynamics, we formally guarantee
stability of the overall closed-loop ImG. The performance of the proposed
controllers is analyzed simulating different scenarios in PSCAD.
