Stabilization of fuzzy systems with constrained controls by using positively invariant sets
Ahmed El Hajjaji, Abdellah Benzaouia, Mohamed Naib · Mathematical Problems in Engineering · 2006
We deal with the extension of the positive invariance approach to nonlinear systems modeled by Takagi‐Sugeno fuzzy systems. The saturations on the control are taken into account during the design phase. Sufficient conditions of asymptotic stability are given ensuring at the same time that the control is always admissible inside the corresponding polyhedral set. Both a common Lyapunov function and piecewise Lyapunov function are used.