Further Stability and L2-Gain Conditions for Sampled-Data Systems

被引：0

作者：

Saravanakumar, Ramasamy ^{[1
]}

机构：

[1] Hiroshima Univ, Hiroshima, Japan

来源：

2021 8TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING & MACHINE INTELLIGENCE (ISCMI 2021) | 2021年

基金：

日本学术振兴会;

关键词：

Finsler's lemma; Free-matrix-based integral inequality; Looped-functional; Sampled-data systems; LINEAR-SYSTEMS; STABILIZATION; DELAY; INEQUALITY;

D O I：

10.1109/ISCMI53840.2021.9654906

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies stability and L-2-gain analysis of sampled-data systems. Finsler's lemma and free-matrix-based integral inequality (FMBII) are employed to solve the integral term in the derivative of looped functional. Based on new looped-functional, an improved stability conditions in the form of linear matrix inequalities (LMIs) are derived using the FMBII. The benefit of this technique is mainly used in reducing the conservatism and is verified based on numerical examples. Five numerical examples are given to demonstrate the validity and superiority of the proposed methods.

引用

下载

页码：64 / 68

页数：5

共 50 条

[41] Sampled-data systems
不详
LINEAR TIME VARYING SYSTEMS AND SAMPLED-DATA SYSTEMS, 2001, 265 : 291 - 319
[42] Further study on the bisection algorithm for the frequency response gain computation of sampled-data systems and related issues
Ito, Y
Hagiwara, T
Maeda, H
Araki, M
PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 180 - 184
[43] Stability and L2-gain analysis for switched singular linear systems with jumps
Tao, Wei
Liu, Yang
Lu, Jianquan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) : 589 - 599
[44] Analysis and design of gain scheduled sampled-data control systems
Lawrence, DA
AUTOMATICA, 2001, 37 (07) : 1041 - 1048
[45] Stability of Sampled-Data Systems with Application to Networked Control Systems
Zhu Xunlin
Yue Dong
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 6572 - 6577
[46] ON STABILITY OF CERTAIN CLASS OF NONLINEAR SAMPLED-DATA SYSTEMS
JURY, EI
LEE, BW
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1964, AC 9 (01) : 51 - &
[47] Absolute stability of sampled-data systems with a sector nonlinearity
Hagiwara, T
Araki, M
SYSTEMS & CONTROL LETTERS, 1996, 27 (05) : 293 - 304
[48] Novel stability results for aperiodic sampled-data systems
Shao, Hanyong
Shao, Lin
Feng, Zongying
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (12): : 6525 - 6537
[49] ROBUST STABILITY FOR SAMPLED-DATA CONTROL-SYSTEMS
BERNSTEIN, DS
HOLLOT, CV
SYSTEMS & CONTROL LETTERS, 1989, 13 (03) : 217 - 226
[50] Stability of infinite-dimensional sampled-data systems
Logemann, H
Rebarber, R
Townley, S
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3301 - 3328

← 1 2 3 4 5 →