Backstepping control for a class of delayed nonlinear systems with input constraints

Abstract

This paper deals with the problem of determination of region of stability for a class of nonlinear systems with delayed state functions and subjected to actuator saturation. A backstepping based controller strategy, along with some additional dynamics to deal with actuator saturation in anti-windup paradigm, is proposed. The stability of closed loop system and ultimate upper boundedness all closed loop signals is proved by constructing a Lyapunov-Krasoviskii functional.