Title
Delay-Dependent Stabilizability of 2D Delayed Continuous Systems with Saturating Control
Abstract
Abstract This paper deals with the problem of stability and stabilization of 2D delayed continuous systems with saturation on the control. An improved delay-dependent stability condition taken from the recent literature is first extended to the case of 2D systems. Second, a delay-dependent stabilizability condition is deduced. The synthesis of stabilizing saturating state feedback controllers for such systems is then given. A set of allowed delays for both directions of the state is computed. All involved conditions are given under LMI formalism. Examples are worked to show the effectiveness of the approach.
Year
DOI
Venue
2013
10.1007/s00034-013-9585-4
CSSP
Keywords
Field
DocType
2D Delayed continuous systems,Roesser model,Delay-dependent conditions,State feedback control,Lyapunov-Krasovskii functional,Control saturation,LMIs
Mathematical optimization,Saturation (chemistry),Control theory,Formalism (philosophy),Control saturation,Mathematics
Journal
Volume
Issue
ISSN
32
6
1531-5878
Citations 
PageRank 
References 
14
0.62
21
Authors
3
Name
Order
Citations
PageRank
Mohamed Benhayoun1654.61
Fouad Mesquine215914.71
Abdellah Benzaouia324625.20