  In this paper we develop a feed-back control framework for the real-time
minimization of microstructures grown within the rechargeable battery. Due to
quickening nature of the branched evolution, we identify the critical ramified
peaks in the early stages and based on the state we compute the relaxation time
for the concentration in those branching fingers. The control parameter is a
function of the maximum curvature (i.e. minimum radius) of the branched
microstructure, where the higher rate dendritic evolution would lead to the
more critical state to be controlled. The charging time is minimized for
generating the most packed microstructures and obtained results correlate
closely with those of considerably higher charging time periods. The developed
framework could be utilized as a smart charging protocol for the safe and
sustainable operation the rechargeable batteries, where the branching of the
microstructures could be correlated to the sudden variation in the
current/voltage.
