Dynamic state feedback stabilization for a class of nonaffine nonlinear systems with unknown time delays
LIU Yong-hua
HUANG Liang-pei
XIAO Dong-ming
GUO Yong
Abstract：We discuss the problem of global stabilization for a class of nonaffine nonlinear systems with unknown time delays. By introducing an auxiliary integrator system and constructing an appropriate Lyapunov-Krosovskii functional, a delay-independent dynamic state feedback controller is explicitly proposed via a backstepping approach, which does not require a priori knowledge of the time delays. Lyapunov stability theory is employed to prove that the states of the nonaffine time delay systems converge asymptotically to the origin and all the closed loop signals are globally bounded. A numerical example is further provided to illustrate the feasibility and effectiveness of the proposed control scheme.
Keywords：nonaffine systemsnonlinear systemstime delaydynamic state feedbackbacksteppingLyapunov-Krosovskii functional
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 923-928 )