The problem of path planning for autonomously searching and tracking multiple objects is important to reconnaissance, surveillance, and many other data-gathering applications. Due to the inherent competing objectives of searching for new objects while maintaining tracks for found objects, most current approaches rely on multi-objective planning methods, leaving it up to the user to tune parameters to balance between the two objectives, usually based on heuristics or trial and error. In this paper, we introduce $\textit{UniSaT}$ ($\textit{Unified Search and Track}$), a unified-objective formulation for the search and track problem based on Random Finite Sets (RFS). This is done by modeling both the unknown and known objects through a combined generalized labeled multi-Bernoulli (GLMB) filter. For the unseen objects, we can leverage both cardinality and spatial prior distributions, which means $\textit{UniSaT}$ does not rely on knowing the exact count of the expected number of objects in the space. The planner maximizes the mutual information of this unified belief model, creating balanced search and tracking behaviors. We demonstrate our work in a simulated environment and show both qualitative results as well as quantitative improvements over a multi-objective method.

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