Global asymptotic stabilization of strict-feedforward nonlinear time-delay systems based on parametric design
TIAN Jianing
JIANG Mengmeng
Abstract：The problem of global asymptotic stabilization is investigated for a class of strict-feedforward nonlinear systems where the integrator,nonlinear function,and input all containing time delays.To address this issue,a novel parameter-dependent state feedback controller is designed to ensure that the equilibrium point of the closed-loop system is globally asymptotically stable.Initially,a parameter-incor-porated coordinate transformation is introduced to the considered time-delay system,and an appropriate Lyapunov function is constructed.Subsequently,by employing stability criteria for time-delay systems,a suitable Lyapunov-Krasovskii functional is provided to prove the global asymptotic stability of the time-de-lay system.Finally,simulation results are presented to demonstrate the effectiveness of the parameter-de-pendent state feedback controller.
Keywords：strict-feedforward nonlinear systemstime delaysglobal asymptotic stabilizationstate feed-back
Publication Date：2025-10-25
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：11( 643-653 )