Commande adaptative floue des systèmes non linéaires de convergence en temps fini

Abstract

Fuzzy logic is used in the control, of uncertain systems because of its universal approximation properties. Most work in this area is based on the Lyapunov synthesis of ensuring stability. In order to accelerate the convergence, several authors have made use of convergence in finite time by expanding the terminal sliding mode or TSM. This approach allows achieving high performance in accuracy in finite time convergence. Many authors have associated the sliding mode to ensure stability in closed loop with fuzzy systems to approximate unknown functions of the system to deliver orders and adaptive fuzzy sliding mode. In this work, we propose to develop a controller convergence in finite time combining the terminal sliding mode TSM with a fuzzy approximation for nonlinear systems to obtain rapid convergence non asymptotic and better accuracy.