LMI stability criterion with less variables for time-delay systems

Slack variables approach is an important technique for tackling the delay-dependent stability problem for systems with time-varying delay. In this paper, a new delay-dependent stability criterion is presented without introducing any slack variable. The technique is based on a simply integral inequal...

Full description

Saved in:
Bibliographic Details
Published in:International journal of control, automation, and systems 2009, Automation, and Systems, 7(4), , pp.530-535
Main Authors: Zhu, Xun-Lin, Yang, Guang-Hong, Li, Tao, Lin, Chong, Guo, Lei
Format: Article
Language:English
Subjects:
Computation
Control
Criteria
Delay
Engineering
Equivalence
Inequalities
Mathematical analysis
Mathematical models
Mechatronics
Regular Papers
Robotics
Stability
Studies
Variables
제어계측공학
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Slack variables approach is an important technique for tackling the delay-dependent stability problem for systems with time-varying delay. In this paper, a new delay-dependent stability criterion is presented without introducing any slack variable. The technique is based on a simply integral inequality. The result is shown to be equivalent to some existing ones but includes the least number of variables. Thus, redundant selection and computation can be avoided so that the computational burden can be largely reduced. Numerical examples are given to illustrate the effectiveness of the proposed stability conditions.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-009-0404-4