Improved delay-dependent stability criteria for discrete-time Lur'e system with time-varying delays [离散时滞Lur'e系统时滞依赖性稳定性判据]

作者：Feng W.-X.^*; Luo F.; Pei H.-L.; Zhang X.-Y.; Duan W.-Y.

来源：Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2021, 38(10): 1531-1541.

DOI：10.7641/CTA.2021.00447

• Discrete-time Lur'e systems
• LMI
• Lyapunov theory
• Stability
• Time-delayed system

In this paper, the absolute stability and robustly absolute stability for discrete-time Lur'e systems with timevarying delays and sector constraint nonlinearities are investigated. To begin with, an augmented Lyapunov-Krasovskii functional (LKF) is designed, where some augmented vectors are chosen to complement some coupling information between the delay intervals and other system state variables. Next, some improved delay-dependent absolute stability and robustly absolute stability criteria are proposed via the modified LKF and a modified general free-matrix-based summation inequality technique application. The proposed stability criteria can be easily solved by using the MATLAB linear matrix inequality (LMI) toolbox. The stability criteria are less conservative than some results previously proposed. The reduction of the conservatism mainly depends on the improvement of the LKF and the full use of the modified summation inequality technique. Finally, some common numerical examples used frequently in some previous literature are presented to show the effectiveness of the proposed approach.

• 出版日期2021
• 单位华南理工大学