Title
New approaches on H∞ control of T--S fuzzy systems with interval time-varying delay
Abstract
This paper considers the delay-dependent stabilization problems and H"~ control problems for uncertain T-S fuzzy system with time-varying delay in a range. A new method is proposed by defining new Lyapunov functionals and introducing some integral inequalities. The merit of the proposed conditions lies in the less conservativeness than the existing ones, which is achieved by paying careful attention to the subtle difference between the two integral terms, which is always ignored in the existing literatures, and the free variables which replace the Leibniz-Newton formula with integral inequalities. The fuzzy state feedback gains are derived through the numerical solution of a set of linear matrix inequalities (LMIs). The efficiency and the benefits of our method are demonstrated by the numerical examples.
Year
DOI
Venue
2009
10.1016/j.fss.2008.11.021
Fuzzy Sets and Systems
Keywords
Field
DocType
t–s fuzzy systems,integral term,interval time-varying delay,delay-dependent,integral inequality,new approach,uncertain t-s fuzzy system,new lyapunov functionals,existing literature,fuzzy state feedback gain,new method,numerical example,linear matrix inequality (lmi),numerical solution,proposed condition,fuzzy system,lyapunov function,linear matrix inequality
Information processing,Free variables and bound variables,Matrix (mathematics),Control theory,Fuzzy logic,Fuzzy set,Control system,Fuzzy control system,Lyapunov functionals,Mathematics
Journal
Volume
Issue
ISSN
160
12
Fuzzy Sets and Systems
Citations 
PageRank 
References 
24
1.03
12
Authors
3
Name
Order
Citations
PageRank
Li Li1241.37
Xiaodong Liu249228.50
Tianyou Chai32014175.55