$SE(3)$-Based Trajectory Optimization and Target Tracking in UAV-Enabled ISAC Systems

This paper introduces a novel approach to enhance the performance of UAV-enabled integrated sensing and communication (ISAC) systems. By integrating uniform planar arrays (UPAs) and modeling the UAV as a rigid body using $SE(3)$, the study addresses key challenges in existing ISAC frameworks, such as rigid-body dynamics and trajectory design. We propose a target tracking scheme based on extended Kalman filtering (EKF) in $SE(3)$ and trajectory optimization from a control signal design perspective, leveraging the conditional Posterior Cramer-Rao bound (CPCRB) to optimize performance. Numerical results demonstrate the effectiveness of the proposed method in improving target tracking and trajectory optimization for a UAV-enabled MIMO-OFDM ISAC system.