NDLI: A new stability region analysis of continuous-time Takagi-Sugeno fuzzy systems using fuzzy Lyapunov functions

Content Provider	IEEE Xplore Digital Library
Author	Dong Hwan Lee Jin Bae Park Young Hoon Joo Myung Hwan Tak
Copyright Year	2011
Description	Author affiliation: Department of Control and Robotics Engineering, Kunsan National University, Chongbuk, 573-701, Korea (Young Hoon Joo; Myung Hwan Tak) \|\| Department of Electrical and Electronic Engineering, Yonsei University, Seodaemun-gu, Seoul, 120-749, Korea (Dong Hwan Lee; Jin Bae Park)
Abstract	In this paper, we propose a new sufficient condition in the form of eigenvalue problem (EVP) for assessing the stability of continuous-time Takagi-Sugeno (T-S) fuzzy systems and estimating the domain of attraction (DA) based on fuzzy Lyapunov functions (FLFs). In order to deal with the time-derivatives of the fuzzy weighting functions (TDFWFs) in the Lyapunov inequality, the existing conditions consider the upper bound on each TDFWF's absolute value. The main result of this paper is derived considering an inequality constraint of a nonlinear function depending quadratically on the fuzzy weighting functions. Finally, an example is given to demonstrate the effectiveness and validity of the proposed approach.
Starting Page	1652
Ending Page	1655
File Size	529433
Page Count	4
File Format	PDF
ISBN	9781457708350
ISSN	20937121
e-ISBN	9788993215038
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-10-26
Publisher Place	Korea (South)
Access Restriction	Subscribed
Rights Holder	ICROS
Subject Keyword	Fuzzy control Asymptotic stability Symmetric matrices eigenvalue problem (EVP) Stability analysis fuzzy Lyapunov functions (FLFs) domain of attraction (DA) Nonlinear systems Lyapunov methods continuous-time Takagi-Sugeno (T-S) fuzzy systems
Content Type	Text
Resource Type	Article

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