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This paper proposes a robust beamforming (BF) scheme to enhance physicallayer security (PLS) of the downlink of a multibeam satellite system in thepresence of either uncoordinated or coordinated eavesdroppers (Eves).Specifically, with knowing only the approximate locations of the Eves, we aimat maximizing the worst-case achievable secrecy rate (ASR) of the legitimateuser (LU), subject to the constraints of per-antenna transmit power and qualityof service (QoS) requirement of the LU. Since the optimization problem isnon-convex, we first adopt the discretization method to deal with the unknownregions of the Eves and then exploit the log-sum-exp function to approximatethe objective function. Afterwards, a BF method joint alternating directionmethod of multipliers (ADMM) with Dinkelbach iteration is presented to solvethis non-convex problem. Finally, simulation results verify that our robust BFalgorithm can effectively improve the security of multibeam satellite systems.

Robust Beamforming for Enhancing Security in Multibeam Satellite Systems