This paper investigates the problem of designing a sliding mode controller for a class of continuous polynomial fuzzy systems with external disturbances.It should be noted that the local input matrix Bi(x)of the considered system isnt equal to one another and the upper norm-bounds of disturbances could not be known in advance.We rewrite every input matrix Bi(x)using the basis matrix B(x)firstly.Second,based on the rewritten system,a novel sliding mode surface s(t)is presented.The sliding mode surfaces parameter matrix can be obtained in terms of the solution of the provided SOS conditions.Then,an adaptive sliding mode controller is provided to stabilize the considered system.It could make the state of the considered system drive onto s(t)and avoid the state escaping from the surface in the subsequent time.Last,a practical example is provided to demonstrate the effectiveness of the proposed approach.