Title
Improved results on BIBO stability and stabilization of networked control systems with short time-varying delays.
Abstract
Based on the multiple nominal points method (MNPM), the problems of BIBO stability and BIBO stabilization for networked control systems (NCSs) with short time-varying delays (STVDs) are researched, and some improved results are obtained in this article. Using the single nominal point method, a NCS with STVDs is modeled as a time-varying uncertain discrete system, in which the uncertain parameters are norm bounded and with single nominal point. Applying the small gain theorem to this model, an improved BIBO stability criterion of the NCS is obtained. To further reduce the conservativeness arising from STVDs, the uncertain parameters are modeled as N norm bounded uncertainties based on the MNPM. The presented stability criteria depend on the bounds of STVDs. Furthermore, the controller design methods are also provided. A numerical example is given to show that the proposed methods are better than existing ones.
Year
DOI
Venue
2017
10.1016/j.jfranklin.2017.09.011
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,Controller design,Control theory,BIBO stability,Control system,Discrete system,Mathematics,Small-gain theorem,Bounded function
Journal
354
Issue
ISSN
Citations 
17
0016-0032
1
PageRank 
References 
Authors
0.35
11
4
Name
Order
Citations
PageRank
zhonghua zhang1292.20
xie210636.98
Xuebo Chen310.35
Xiaoping Liu493384.29