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Updated: Apr 6, 2026

Design and Analysis for Fall Detection System Simplification
Published on: April 6, 2020
Relaxed observer design of discrete-time T-S fuzzy systems via a novel slack variable approach
1Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China.
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.
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