The　probabilistic　robust　beamforming　with　the　help　of　artificial　noise　(AN)　is　investigated　in　this　study,　where　amultiple-input-single-output　wiretap　scenario　with　K　single-antenna　eavesdroppers　is　considered.　Based　on　a　more　practicalassumption　that　the　transmitter　derives　imperfect　legitimate　user＇s　channel　state　information　(LCSI)　and　statisticaleavesdroppers＇　channel　state　information　(ECSI),　secrecy　rate　maximisation　(SRM)　under　a　total　transmit　power　constraint　andK　probabilistic　secrecy　outage　constraints　are　studied.　To　deal　with　it,　the　K　probabilistic　constraints　are　firstly　approximated　tothe　deterministic　worst-case　ones　by　resorting　to　sphere　bounding.　Secondly,　by　introducing　a　slack　variable　the　approximatedworst-case　SRM　can　be　further　recast　as　a　series　of　semi-definite　programmings.　In　this　way,　the　jointly　optimised　robustbeamforming　vector　and　the　AN　covariance　are　determined　in　a　tractable　convex　fashion.　Moreover,　the　authors　can　prove　thatthe　derived　AN-aided　secure　robust　beamforming　actually　is　the　optimal　solution　to　the　approximated　worst-case　SRM　problem.Numerical　results　reveal　that　the　proposed　AN-aided　probabilistic　secure　robust　beamforming　could　achieve　outage　secrecyrate　improvement　in　comparison　with　the　existing　optimal　worst-case　robust　beamforming　without　AN,　optimal　outageconstrained　robust　beamforming　without　AN,　the　non-robust　isotropic　AN　transmission,　and　the　non-robust　AN-aidedbeamforming　scheme.　©　2020　The　Institution　of　Engineering　and　Technology.