A novel approach in the finite-time controller design

Abstract

This paper deals with the finite-time stabilization of a class of nonlinear systems. Based on the backstepping technique, a new recursive procedure is proposed which entwines the choice of the Lyapunov function with the design of the feedback control laws. The main efficiency of the proposed technique is due to adding a dummy state variable to the state vector. The dynamic equation of this state variable has a special structure which makes the design procedure of the finite-time controller more feasible. The designed controller guarantees the stabilization of the closed-loop system in a finite time. Computer simulations reveal the efficiency of the proposed technique and also verify the theoretical results.