AN IMPROVED DELAY-DEPENDENT STABILIZATION CRITERION OF LINEAR TIME-VARYING DELAY SYSTEMS: AN ITERATIVE METHOD

被引：0

作者：

Modala, Venkatesh ^{[1
]}

Patra, Sourav ^{[2
]}

Ray, Goshaidas ^{[2
]}

机构：

[1] Nexteer Automot India Pvt Ltd, India Software Ctr, Controls Dept, Bangalore 560037, India

[2] Indian Inst Technol, Dept Elect Engn, Kharagpu 721302, India

来源：

KYBERNETIKA | 2023年 / 59卷 / 04期

关键词：

time -delay systems; state feedback controller; Lyapunov-Krasovskii func; tional; Wirtinger's inequality; reciprocally convex inequality; linear matrix in- equality; H-INFINITY CONTROL; IMPROVED ROBUST STABILITY; OUTPUT-FEEDBACK; INEQUALITY; STATE;

D O I：

10.14736/kyb-2023-4-0633

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents delay-dependent stabilization criteria for linear time-varying delay systems. A less conservative stabilization criterion is derived by invoking a new Lyapunov- Krasovskii functional and then, extended reciprocally convex inequality in combination with Wirtinger's inequality is exploited to obtain an improved stabilization criterion where a set of nonlinear matrix inequalities is solved by applying the cone complementarity algorithm. The proposed stabilization technique transforms a non-convex problem into a nonlinear trace minimization problem which is solved by an iterative approach. Numerical examples are considered to demonstrate the effectiveness of the proposed stabilization criteria and the presented iterative algorithm outperforms some existing results.

引用

页码：633 / 654

页数：22

共 50 条

[31] Delay-dependent criteria for robust stability of time-varying delay systems
Wu, M
He, Y
She, JH
Liu, GP
AUTOMATICA, 2004, 40 (08) : 1435 - 1439
[32] New delay-dependent stability for systems with interval time-varying delay
Zhang, Tao
Cui, Yan-qiu
Wang, Juan
Zhang, Ran-feng
PRZEGLAD ELEKTROTECHNICZNY, 2012, 88 (3B): : 97 - 99
[33] Delay-dependent criteria for the robust stability of systems with time-varying delay
Jinhua SHE
JournalofControlTheoryandApplications, 2003, (01) : 97 - 100
[34] Delay-dependent criteria for the robust stability of systems with time-varying delay
Min Wu
Yong He
Jinhua She
Journal of Control Theory and Applications, 2003, 1 (1): : 97 - 100
[35] Improved approach to delay-dependent stability analysis of discrete-time systems with time-varying delay
Huang, H.
Feng, G.
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10) : 2152 - 2159
[36] Novel delay-dependent stability criterion for time-varying delay systems with parameter uncertainties and nonlinear perturbations
Wang, Wenqin
Nguang, Sing Kiong
Zhong, Shouming
Liu, Feng
INFORMATION SCIENCES, 2014, 281 : 321 - 333
[37] Delay-Dependent Robust H∞ Filter Design for Uncertain Linear Systems with Time-Varying Delay
Jian Sun
Jie Chen
G. P. Liu
D. Rees
Circuits, Systems & Signal Processing, 2009, 28 : 763 - 779
[38] Delay-Dependent Robust H a Filter Design for Uncertain Linear Systems with Time-Varying Delay
Sun, Jian
Chen, Jie
Liu, G. P.
Rees, D.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (05) : 763 - 779
[39] Delay-Dependent Adaptive Robust H∞ Control for Uncertain Linear Systems with Time-Varying Delay
Ye, Dan
Yang, Guang-Hong
2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 666 - 671
[40] On delay-dependent stability conditions for time-varying systems
Kharitonov, VL
Melchor-Aguilar, D
SYSTEMS & CONTROL LETTERS, 2002, 46 (03) : 173 - 180

← 1 2 3 4 5 →