  In this paper, we present a novel control approach for dynamic virtual power
plants (DVPPs). In particular, we consider a group of heterogeneous distributed
energy resources (DERs) which collectively provide desired dynamic ancillary
services such as fast frequency and voltage control. Our control approach
relies on an adaptive divide-and-conquer strategy: first, we disaggregate the
desired frequency and voltage control specifications of the aggregate DVPP via
adaptive dynamic participation matrices (ADPMs) to obtain the desired local
behavior for each device. Second, we design local linear parameter-varying
(LPV) $\mathcal{H}_\infty$ controllers to optimally match this local behaviors.
In the process, the control design also incorporates the physical and
engineered limits of each DVPP device. Furthermore, our adaptive control design
can properly respond to fluctuating device capacities, and thus include
weather-driven DERs into the DVPP setup. Finally, we demonstrate the
effectiveness of our control strategy in a case study based on the IEEE
nine-bus system.
