Output Feedback Stabilization of Nonlinear Time-Delay Systems with Unknown Output Function
DONG Wei
JIANG Mengmeng
NIU Xiao
Abstract：The global output feedback problem is studied for a class of nonlinear systems whose nonlinear functions,integrators and input all contain time delays under the condition of uncertain output informa-tion.Since the time delays terms in the integrators can make the operation more troublesome.To solve this problem,we first introduce an integrator without time delays,then construct suitable Lyapunov func-tion and homogeneous state observer for the nominal system of the transformed system,and design an output feedback controller based on adding a power integrator technique and homogeneous domination ap-proach to ensure the global asymptotic stability of the nominal system.Finally,the gain Lis introduced through coordinate transformation,a homogeneous state observer dependent on L,Lyapunov-Krasovskii functional,and an output feedback controller are designed to make the nonlinear system asymptotically stable.
Keywords：time delays in state and inputoutput functionoutput feedbackhomogeneous domination approachglobally asymptotical stability
Publication Date：2024-10-28
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：12( 29-40 )