Paper Info
Title
A Delay Decomposition Approach to Delay-Dependent Robust Passive Control for Takagi–Sugeno Fuzzy Nonlinear Systems
Abstract
This paper is concerned with the problem of delay-dependent robust passive control for a fuzzy nonlinear system with time-varying delays. A Takagi–Sugeno fuzzy model approach is exploited to design a passive control for nonlinear systems with time-varying delay. By decomposing the delay interval into multiple equidistant subintervals, new Lyapunov–Krasovskii functionals (LKFs) are constructed on these intervals. Employing these new LKFs, a new robust passive control criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of the time delay. We also design a state feedback controller that guarantees a robustly strictly passive closed-loop system for all admissible uncertainties. Finally, two numerical examples are given to illustrate the effectiveness of the developed techniques.
Year
DOI
Venue
2012
10.1007/s00034-011-9384-8
CSSP
Keywords
Field
DocType
Linear matrix inequalities (LMIs), Lyapunov–Krasovskii functional, Nonlinear systems, Passive control, Time-varying delays
Equidistant,LKFS,Fuzzy model,Mathematical optimization,Nonlinear system,Control theory,Matrix (mathematics),Full state feedback,Fuzzy logic,Passive control,Mathematics
Journal
Volume
Issue
ISSN
31
4
1531-5878
Citations 
PageRank 
References 
6
0.56
18
Authors
2
Name
Order
Citations
PageRank
P. Balasubramaniam1865.47
g nagamani2628.08