Abstract: This paper proposes a new method of fuzzy robust control,which is used for the controller design of aerospace vehicle's(ASV)attitude during the re-entry phase.Firstly,based on the T-S fuzzy model of ASV re-entry attitude dynamic system,considering external disturbance and system uncertainties,the stabilization problem of angular rates and attitude angles is studied,then combining with pole constraints,an existence condition for H_∞fuzzy guaranteed cost control law with pole constraints is derived.Finally,a fuzzy robust controller for ASV's re-entry attitude is designed,which can be solved by using LMIs(linear matrix inequalities)and FLC(fuzzy logic control)tools of Matlab.The simulation results demonstrate the effectiveness of the proposed method.