Formation Control for Moving Target Enclosing and Tracking via Relative Localization

This paper proposes an integrated framework for coordinating multiple unmanned aerial vehicles (UAVs) in a distributed fashion to persistently enclose and track a moving target without external localization systems. It is assumed that the UAV can obtain self-displacement and the target's relative position using vision-based methods within its local frame. Additionally, UAVs can measure relative distances and communicate with each other, e.g. by ultrawideband (UWB) sensors. Due to the absence of a global coordinate system, measurements from neighbors cannot be directly utilized for collaborative estimation of the target state. To address this, a recursive least squares estimator (RLSE) for estimating the relative positions between UAVs is integrated into a distributed Kalman filter (DKF), enabling a persistent estimation of the target state. When the UAV loses direct measurements of the target due to environmental occlusion, measurements from neighbors will be aligned into the UAV's local frame to provide indirect measurements. Furthermore, simultaneously ensuring the convergence of the estimators and maintaining effective target tracking is a significant challenge. To tackle this problem, a consensus-based formation controller with bounded inputs is developed by integrating a coupled oscillator-based circular formation design. Theoretical analysis shows that the proposed framework ensures asymptotic tracking of a target with constant velocity. For a target with varying velocity, the tracking error converges to a bounded region related to the target's maximum acceleration. Simulations and experiments validate the effectiveness of the proposed algorithm.