A new design method to global asymptotic stabilization of strict-feedforward nonlinear systems with state and input delays

Abstract

This paper studies the global asymptotic stabilization problem of strict-feedforward nonlinear systems with state and input delays. We will first transform the considered system into an equivalent system by constructing the novel parameter-dependent state feedback controller and introducing the appropriate coordinate transformation. After that, the global asymptotic stability of the closed system is proved by giving the proper Lyapunov-Krasovskii functional and using the stability criterion of time-delay system.

Keywords

• strict-feedforward nonlinear systems
• delays in state and input
• global asymptotic stabilization
• state feedback
• lyapunov-krasovskii functional method