title: Relaxed observer design of discrete-time T-S fuzzy systems via a novel slack variable approach.
abstract: The problem of further studies on observer design for discrete-time Takagi-Sugeno fuzzy systems is investigated in this paper. Different from the existing result, a new slack variable approach is presented by developing some useful matrix equalities which rely on both the current-time and the past-time normalized fuzzy weighting functions. As a result, the relaxation quality of recent fuzzy observer design is significantly enhanced. Moreover, the conditions for the existence of a fuzzy H(∞) observer that minimizes an upper bound to H(∞) norms are also proposed. Finally, two numerical examples are provided to show that the given results are less conservative than other results available in the literature.
authors.affiliation: Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China.
authors.forename: Xiang-Peng
authors.initials: XP
authors.lastname: Xie
authors.affiliation: School of Information Science and Engineering, Northeastern University, Shenyang 110004, China.
authors.forename: Guo-Tao
authors.initials: GT
authors.lastname: Hui
keywords: Multi-instant; Nonlinear systems; Observer design; State estimation; Takagi–Sugeno fuzzy model