TY - GEN
T1 - A new stability region analysis of continuous-time Takagi-Sugeno fuzzy systems using fuzzy Lyapunov functions
AU - Lee, Dong Hwan
AU - Park, Jin Bae
AU - Joo, Young Hoon
AU - Tak, Myung Hwan
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84863035163
SN - 9781457708350
T3 - International Conference on Control, Automation and Systems
SP - 1652
EP - 1655
BT - ICCAS 2011 - 2011 11th International Conference on Control, Automation and Systems
T2 - 2011 11th International Conference on Control, Automation and Systems, ICCAS 2011
Y2 - 26 October 2011 through 29 October 2011
ER -