Local stability analysis of continuous-time Takagi-Sugeno fuzzy systems: An LMI approach

This paper deals with the problem of estimating invariant subsets of the domain of attraction (DA) for continuous-time Takagi-Sugeno (T-S) fuzzy systems. By employing the fuzzy Lyapunov function, a new sufficient condition is formulated in the form of linear matrix inequalitys (LMI) or eigenvalue problems (EVPs). For better solutions, an iterative LMI algorithm is also provided. Finally, examples are given to demonstrate the effectiveness of the proposed approach in comparison with existing methods in the literature.