  The temperature distribution in the battery significantly impacts the
short-term and long-term performance of battery systems. Therefore, efficient,
safe, and reliable battery system operation requires an accurate estimation of
the temperature field. The current industry standard for sensors to battery
cell ratio is quite frugal. Thus, the problem of sensor placement for accurate
temperature estimation becomes non-trivial, especially for large-scale systems.
In this paper, we explore a greedy approach for sensor placement suitable for
large-scale battery systems. An observer to estimate the thermal field is
designed in an $\mathcal{H}_{\infty}$ framework while simultaneously minimizing
the sensor precisions, thus lowering the overall thermal management system's
economic cost.
