Paper Info
Title
Improved bounded-real-lemma representation and H∞ control of systems with polytopic uncertainties
Abstract
This brief concerns the problem of the bounded-real-lemma (BRL) representation and H∞ control of linear systems with real convex polytopic uncertainties. In order to use a parameter-dependent Lyapunov function for a system with polytopic uncertainties, the derivative term for the state, which is in the derivative of the Lyapunov function, is reserved; and free weighting matrices are used to express the relationship between the terms of the system equation. This yields a new linear-matrix-inequality approach to BRL representation. In addition, this method is extended to the design of a state-feedback controller that solves the H∞ control problem. Numerical examples demonstrate that the proposed method is effective and is an improvement over previous ones.
Year
DOI
Venue
2005
10.1109/TCSII.2005.850418
IEEE Trans. on Circuits and Systems
Keywords
DocType
Volume
state-feedback controller,linear matrix inequality (LMI),H∞ control,parameter-dependent lyapunov function,linear matrix inequality,state feedback,BRL representation,bounded-real-lemma (brl),linear matrix inequality (lmi),h∞ control,polytopic uncertainty,linear matrix inequalities,linear systems,Lyapunov matrix equations,free weighting matrices,bounded-real-lemma representation,parameter-dependent Lyapunov function,real convex polytopic uncertainties,Bounded-real-lemma (BRL)
Journal
52
Issue
ISSN
Citations 
7
1549-7747
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Yong He100.34
Min Wu225150.43
Jin-Hua She31841182.27