An Extended Invariance Principle using a Fuzzy Lyapunov-like function

In this paper, we use T-S fuzzy systems and the Extended Invariance Principle to study the asymptotic behavior of  nonlinear dynamical systems. The main result provides a systematic procedure to obtain a Fuzzy Lyapunov-like function, as well as an estimation of the attracting set, based on Linear Matrix Inequalities. The application of the result is illustrated with a trajectory tracking quadrotor system.