New approaches on adaptive stabilization for uncertain systems subject to multiple time delays
Year: 2025
Type: article
Abstract: This paper explores the stabilization issue of uncertain systems subject to multiple time delays under adaptive robust control. Without imposing matching constraints on uncertain system parameter matrices, an adaptive robust controller is utilized to ensure the asymptotic stability of the closed-loop system. A delay-independent approach is proposed for determining the gain and update law using Lyapunov functionals and thoroughly considering the input matrix. Then, a delay-dependent approach is presented by utilizing more complicated Lyapunov functionals and introducing some slack matrix variables. Numerical examples illustrate that the methods proposed herein exhibit decreased conservatism and improved applicability compared to existing methods.
Source: AIP Advances
DOI: 10.1063/5.0276187
Author: Sirui Zhu
Institution: Anhui University of Technology
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,350
OpenAlex ID: W4412123643