Title
H2 and mixed H2/H∞ control of two-dimensional systems in Roesser model
Abstract
The H2 performance specification for one-dimensional (1-D) systems has been known to be analytically and practically meaningful and widely applied to the analysis and design of control and signal processing systems. However, there has been few results on the analysis and design of two-dimensional (2-D) systems using the H2 performance specification due to the structural and dynamical complexity of 2-D systems. In this paper, we extend the classical definition of the H2 performance to 2-D systems and present a sufficient condition for evaluation of the H2 performance of 2-D systems in Roesser model. Using this condition and the existing bounded real lemma, we develop systematic design methods for H2 and mixed H2/H∞ control of 2-D systems, and an application of the controller design methods to the control problem of a metal rolling process is demonstrated in this paper.
Year
DOI
Venue
2006
10.1016/j.automatica.2006.04.002
Automatica
Keywords
Field
DocType
Two-dimensional systems,H2 control,H2/H∞ control,Roesser model,Linear matrix inequality
H-infinity methods in control theory,Applied mathematics,Control theory,Mathematics
Journal
Volume
Issue
ISSN
42
9
0005-1098
Citations 
PageRank 
References 
27
1.51
3
Authors
3
Name
Order
Citations
PageRank
Ran Yang1919.74
Lihua Xie25686405.63
Cishen Zhang377468.79