Control laws for Takagi-Sugeno fuzzy models
This work presents control laws for fuzzy models of Takagi-Sugeno (TS) (Sugeno and Kang, Fuzzy Sets and Systems 28 (1988) 15-33, Takagi and Sugeno, IEEE Trans. Systems Man Cybernet. 15(1) (1985) 116-132). These laws are not directly put in the classical form called PDC for parallel distributed compensation (Wang et al., IEEE Trans. Fuzzy Systems 4(1) (1996) 14-23). On a particular family of TS fuzzy models the approach allows to reduce the conservatism of results found in the literature (Tanaka et al., IEEE Trans. Fuzzy Systems 6(2) (1998) 1-16). This approach utilizes the state-space representation. According to that remark, observers are also considered and a separation principle is also given. Though results are provided mainly for the continuous case, they are also provided for the discrete case. An example in both cases illustrates the results obtained. (C) 2001 Elsevier Science B.V. All rights reserved.
fuzzy models of takagi-sugeno stability analysis linear matrix inequalities