New approach of model based T-S fuzzy predictive control using LMI approach

In this work, a model based T-S fuzzy predictive control LMI optimization is introduced. The aim of discrete T-S fuzzy predictive controller is to drive the state of the system to the original state where a stabilizing controller is ensured. The stability of the controlled systems is studied using non quadratic case of the Lyapunov function and adopting of Non-PDC controller. The stability is guaranteed based on the conditions expressed of terms of LMIs. The optimal solution has been obtained at each sampling time. The results are shows the effectiveness of this strategy.