Title
Robust H∞ control based on parameters weak coupling LMI equations set for uncertain singular state delay systems
Abstract
This note deals with the problems of delay-dependent robust stabilization and robust H∞ control for uncertain singular systems. The control law is designed to guarantee that the resulting closed-loop system is regular, impulse-free and stable for all admissible uncertainties. And a prescribed H/pl infin/ performance is achieved in robust H∞ control problem. This criteria is devised in terms of parameters weak coupling LMI equations set (PWCLMIES). The concept and constructing method of PWCLMIES are developed. The concept of two levels of conservatism is proposed clearly and is used to analyze the conservatism of the PWCLMIES condition, too. Large time delay, large time-varying rate and small disturbance attenuation can be obtained by using this method. At the same time, a new method which proves the system is regular and impulse-free is introduced. A numerical examples is given to demonstrate the effectiveness of the proposed criteria.
Year
DOI
Venue
2009
10.1109/CDC.2009.5400703
conference on decision and control
Keywords
Field
DocType
time delay,uncertain systems,disturbance attenuation,uncertain singular state delay system,delay systems,H∞ control,time-varying systems,robust control,impulse-free,delay-dependent robust stabilization,closed-loop system,parameters weak coupling LMI equation,robust H∞ control,linear matrix inequalities,time-varying rate,closed loop systems
Mathematical optimization,Coupling,Control theory,Singular systems,Conservatism,Robustness (computer science),Attenuation,Control system,Uncertain systems,Robust control,Mathematics
Conference
ISSN
ISBN
Citations 
0191-2216 E-ISBN : 978-1-4244-3872-3
978-1-4244-3872-3
0
PageRank 
References 
Authors
0.34
5
6
Name
Order
Citations
PageRank
Minghao Li191.98
Wuneng Zhou246753.74
Mingjun Wang300.34
Yuhua Xu413413.91
Xiaozheng Mou592.35
Jian-an Fang652923.40