Admissibility Analysis and Control for Discrete-Time Singular Systems with Interval Time-Varying Delay

被引：0

作者：

Lee, Ching-Min ^{[1
]}

Cheng, Chun-An ^{[1
]}

机构：

[1] I Shou Univ, Dept Elect Engn, Kaohsiung 84001, Taiwan

来源：

IFAC PAPERSONLINE | 2023年 / 56卷 / 02期

关键词：

singular systems interval time-varying delay finite sum inequality admissibility; ROBUST STABILITY; STABILIZATION;

D O I：

10.1016/j.ifacol.2023.10.158

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper mainly investigates an admissibility analysis and controller design problem for an uncertain discrete-time singular system with delayed states. The time-varying delay is within an interval whose lower bound may be greater than zero. Using a modified finite sum inequality and choosing a suitable Lyapunov-Krasovskii function, we derive a set of LMI-based sufficient delay-dependent conditions for the admissibility analysis and controller synthesis problem, respectively. In the end, a numerical example shows the effectiveness and validity of the proposed approach.Copyright (c) 2023 The Authors.

引用

页码：9173 / 9178

页数：6

共 30 条

[1]

Boyd S., 1994, LINEAR MATRIX INEQUA

[2] Admissibility Analysis of a Sampled-Data Singular System Based on the Input Delay Approach [J].

Chen, Guoquan ;

Zheng, Minjie ;

Yang, Shenhua ;

Li, Lina .

COMPLEXITY, 2022, 2022

[3]

DAI L, 1989, LECT NOTES CONTR INF, V118, P1

[4] Event-Triggered H-Infinity Control for Continuous-Time Singular Networked Cascade Control Systems With State Delay [J].

Du, Zhaoping ;

Li, Wen ;

Li, Jianzhen ;

Yang, Xiaofei .

IEEE ACCESS, 2020, 8 (08) :2760-2771

[5] Delay-dependent robust stability criteria for singular time-delay systems by delay-partitioning approach [J].

Ech-charqy, Ahmed ;

Ouahi, Mohamed ;

Tissir, El Houssaine .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (14) :2957-2967

[6]

Feng Z., 2021, Analysis and synthesis of singular systems

[7] New admissibility analysis for discrete singular systems with time-varying delay [J].

Feng, Zhiguang ;

Li, Wenxing ;

Lam, James .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 :1058-1066

[8] A practical approach to networked control design for robust H∞ performance in the presence of uncertainties in both communication and system [J].

Haghighi, Payam ;

Tavassoli, Babak ;

Farhadi, Alireza .

APPLIED MATHEMATICS AND COMPUTATION, 2020, 381

[9]

Horváth L, 2011, MATH INEQUAL APPL, V14, P777

[10] Admissibility Analysis and Controller Design for Discrete Singular Time-Delay Systems Embracing Uncertainties in the Difference and Systems' Matrices [J].

Huang, Chih-Peng .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021

← 1 2 3 →