Title
Robust H∞ control for a class of uncertain nonlinear two-dimensional systems with state delays
Abstract
This paper considers the problem of robust H∞ control for uncertain 2-D discrete state-delayed systems in the Fornasini–Marchesini second local state-space model with a class of generalized Lipschitz nonlinearities. The parameter uncertainty is assumed to be norm-bounded. The problem to be addressed is the design of state feedback controllers such that the stability of the resulting closed-loop system is guaranteed and a prescribed H∞ performance level is ensured for all admissible uncertainties. In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of the problem is obtained. A desired state feedback controller can be constructed by solving a certain LMI. A numerical example is provided to demonstrate the application of the proposed method.
Year
DOI
Venue
2005
10.1016/j.jfranklin.2005.07.003
Journal of the Franklin Institute
Keywords
Field
DocType
linear matrix inequality
H-infinity methods in control theory,Nonlinear system,Full state feedback,Nonlinear control,Control theory,Lipschitz continuity,Robust control,Mathematics,Linear matrix inequality,Control synthesis
Journal
Volume
Issue
ISSN
342
7
0016-0032
Citations 
PageRank 
References 
22
1.33
2
Authors
4
Name
Order
Citations
PageRank
Huiling Xu18411.89
Yun Zou284659.64
Junwei Lu338734.94
Shengyuan Xu43541251.22