Title
Robust H-Infinity State Feedback Control Of Discrete Time-Delay Linear Systems With Norm-Bounded Uncertainty
Abstract
This paper studies, via a linear matrix inequality approach, the problem of H-infinity control for discrete time-delay linear systems with parametric uncertainty. The system under consideration is subjected to both time-varying norm-bounded parameter uncertainty and time delay in the state. First, the problem of robust stability of the underlying system is investigated. Next, we address the problem of robust H-infinity state feedback control in which both robust stability and a prescribed H-infinity performance are required to be achieved irrespective of the uncertainty and time delay. It is shown that the above problem can be solved if a linear matrix inequality has a symmetric positive definite solution.
Year
DOI
Venue
2000
10.1080/002077200290984
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
discrete time,linear system
Mathematical optimization,Linear system,Control theory,Positive-definite matrix,Parametric statistics,Discrete time and continuous time,Linear matrix inequality,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
31
4
0020-7721
Citations 
PageRank 
References 
6
0.58
0
Authors
4