Paper Info
Title
Improved stability and stabilization results for discrete singular delay systems via delay partitioning
Abstract
In this paper, the problems of delay-dependent robust stability analysis and robust stabilization are investigated for uncertain discrete-time singular systems with state delay. First, by making use of the delay partitioning technique, a new delay-dependent criterion is given to ensure the nominal system to be regular, causal and stable. This new criterion is further extended to singular systems with both delay and parameter uncertainties. Moreover, without the assumption that the considered systems being regular and causal, robust controllers are designed for discrete-time singular time-delay systems such that the closed-loop systems have the characteristics of regularity, causality and asymptotic stability. These results are illustrated, via a few numerical examples, to be much less conservative than most of the existing results in the literature.
Year
DOI
Venue
2009
10.1109/CDC.2009.5399472
CDC
Keywords
Field
DocType
delay systems,asymptotic stability,control system synthesis,robust control,numerical analysis,closed-loop systems,uncertain discrete-time singular systems,delays,delay partitioning technique,delay-dependent robust stability analysis,discrete time systems,robust controllers,closed loop systems,stability analysis,symmetric matrices,discrete time,robustness
Mathematical optimization,Causality,Control theory,Computer science,Singular systems,Symmetric matrix,Robustness (computer science),Exponential stability,Discrete time and continuous time,Robust control,Numerical analysis
Conference
ISSN
ISBN
Citations 
0191-2216 E-ISBN : 978-1-4244-3872-3
978-1-4244-3872-3
2
PageRank 
References 
Authors
0.59
4
4
Name
Order
Citations
PageRank
Zhiguang Feng156329.09
James Lam25305319.63
Huijun Gao38923416.93
Baozhu Du429717.87