LMI Stability Conditions for Takagi-Sugeno Uncertain Descriptors

In this paper, stability conditions for a wide class of Takagi-Sugeno uncertain descriptors are proposed. These are based on a quadratic Lyapunov candidate function. In order to solve the stability conditions with classical convex optimization algorithms, matrices transformations have been used to write these conditions in term of linear matrix inequality (LMI). A designed example illustrates the efficiency of the proposed approach.