Original scientific paper
https://doi.org/10.1080/00051144.2021.2023988
An improved stability criterion for discrete-time time-delayed Lur’e systemwith sector-bounded nonlinearities
Lijuan Zhu
; School of Physics and Electronic Engineering, Yancheng Teachers University, Yancheng, Jiangsu, People’s Republic of China
Chengyun Zhu
; School of Physics and Electronic Engineering, Yancheng Teachers University, Yancheng, Jiangsu, People’s Republic of China
Abstract
The absolute stability problem of discrete-time time-delayed Lur'e systems with sector bounded nonlinearities is investigated in this paper. Firstly, a modified Lyapunov-Krasovskii functional (LKF) is designed with augmenting additional double summation terms, which complements more coupling information between the delay intervals and other system state variables than some previous LKFs. Secondly, some improved delay-dependent absolute stability criteria based on linear matrix inequality form (LMI) are proposed via the modified LKF and the relaxed free-matrix-based summation inequality technique application. The stability criteria are less conservative than some results previously proposed. The reduction of the conservatism mainly relies on the full use of the relaxed summation inequality technique based on the modified LKF. Finally, two common numerical examples are presented to show the effectiveness of the proposed approach.
Keywords
Discrete-time systems; Lur’e systems; LMI; stability; time-varying delays
Hrčak ID:
287083
URI
Publication date:
23.2.2022.
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