Summary: This paper deals with the stabilizability problem of continuous non-linear systems represented by Takagi-Sugeno’s fuzzy model. These systems contain unknown parameters. Based on the quadratic Lyapunov function, new update law and Linear Matrix Inequality (LMI) formulation are developed, respectively, to estimate the unknown parameters vector and to guarantee stability. The case of an unstable continuous non-linear of third-order system is considered to illustrate the proposed approach.