Robust Resource Allocation for Pinching-Antenna Systems Under User Location Uncertainty

Pinching-antenna technology has lately showcased its promising capability for reconfiguring wireless propagation environments, especially in high-frequency communication systems like millimeter-wave and terahertz bands. By dynamically placing the antenna over a dielectric waveguide, line-of-sight (LoS) connections can be made to significantly improve system performance.Although recent research has illustrated the advantages of pinching-antenna-assisted designs, they mainly presuppose complete knowledge of user locations - an impractical assumption in real-world systems. To address this issue, the robust resource allocation in a multi-user pinching antenna downlink system with uncertain user positions is investigated, aiming to minimize total transmit power while satisfying individual outage probability constraints. First, we address the power minimization problem for a given pinching antenna position. A bisection method combined with geometric analysis is used to obtain the minimum power for each user. On this basis, we optimize the pinching antenna position using a particle swarm optimization (PSO) algorithm to handle the resulting non-convex and non-differentiable optimization problem. Simulation results demonstrate that the proposed scheme outperforms conventional fixed-antenna systems and validate the effectiveness of the PSO-based antenna placement strategy under location uncertainty.