  Integration of Inverter Based Resources (IBRs) which lack the intrinsic
characteristics such as the inertial response of the traditional
synchronous-generator (SG) based sources presents a new challenge in the form
of analyzing the grid stability under their presence. While the dynamic
composition of IBRs differs from that of the SGs, the control objective remains
similar in terms of tracking the desired active power. This letter presents a
decentralized primal-dual-based fault-tolerant control framework for the power
allocation in IBRs. Overall, a hierarchical control algorithm is developed with
a lower level addressing the current control and the parameter estimation for
the IBRs and the higher level acting as the reference power generator to the
low level based on the desired active power profile. The decentralized
network-based algorithm adaptively splits the desired power between the IBRs
taking into consideration the health of the IBRs transmission lines. The
proposed framework is tested through a simulation on the network of IBRs and
the high-level controller performance is compared against the existing
framework in the literature. The proposed algorithm shows significant
performance improvement in the magnitude of power deviation and settling time
to the nominal value under faulty conditions as compared to the algorithm in
the literature.
