Please use this identifier to cite or link to this item:
Title: Stability conditions for time-delay fuzzy systems using fuzzy weighting-dependent approach
Authors: Lin, C. 
Wang, Q.-G. 
Lee, T.H. 
He, Y. 
Issue Date: 2007
Source: Lin, C., Wang, Q.-G., Lee, T.H., He, Y. (2007). Stability conditions for time-delay fuzzy systems using fuzzy weighting-dependent approach. IET Control Theory and Applications 1 (1) : 127-132. ScholarBank@NUS Repository.
Abstract: The asymptotic stability of Takagi-Sugeno (T-S) fuzzy systems with state delay is studied. The aim is not only to extend the fuzzy weighting-dependent Lyapunov function method for delay-free fuzzy systems to time-delay fuzzy systems, but also to provide state-of-the-art stability analysis methods for time-delay fuzzy systems. First, the fuzzy weighting-dependent Lyapunov-Krasovskii functional is used to reduce the conservatism entailed in previous results using quadratic Lyapunov-Krasovskii functionals. By adopting a recent technique called the free-weighting matrix method, a delay-dependent stability condition that improves existing results for time-delay fuzzy systems is derived. Next, an augmented fuzzy weighting-dependent Lyapunov-Krasovskii functional is proposed to further reduce the conservatism. Delay-independent stability criteria are easy corollaries of the present delay-dependent results. Finally, three examples are given to illustrate the reduced conservativeness achieved by the proposed methods. © The Institution of Engineering and Technology 2006.
Source Title: IET Control Theory and Applications
ISSN: 17518644
DOI: 10.1049/iet-cta:20050165
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Mar 8, 2018


checked on Feb 7, 2018

Page view(s)

checked on Mar 12, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.