Global adaptive output feedback control of nonlinear time-delay systems with measurement uncertainty
Weiguo Cai
Xianglei Jia
Xinxu Ju
Abstract：In this paper, a pair of dynamic high-gain observer and output feedback controller is proposed for nonlinear systems with multiple unknown time delays. By constructing Lyapunov-Krasovskii functionals, it shows that global state asymptotic regulation can be ensured by introducing a single dynamic gain; furthermore, global asymptotic stabilization can be achieved by choosing a sufficiently large static scaling gain when the upper bounds of all system parameters are known. Especially, the output coefficient is allowed to be non-differentiable with unknown upper bound. This paper proposes a generalized Lyapunov matrix inequality based dynamic-gain scaling method, which significantly simplifies the design computational complexity by comparing with the classic backstepping method.
Keywords：Output feedbackMeasurement uncertaintyNonlinear adaptive controlTime delays
Publication Date：2025-02-04
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 145-152 )