Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/61237
Title: Stability and stabilization of discrete T-S fuzzy time-delay system based on maximal overlapped-rules group
Authors: Zhang, S
Zhao, X
Zhang, J
Keywords: Discrete time-delay system
Maximal overlapped-rules group (MORG)
Piecewise Lyapunov-Krasovskii function (PLKF)
Stability analysis
Takagi-Sugeno (T-S) fuzzy model
Issue Date: 2016
Publisher: Beijing Institute of Aerospace Information (BIAI)
Source: Journal of systems engineering and electronics, 2016, v. 27, no. 1, 7424936, p. 201-210 How to cite?
Journal: Journal of systems engineering and electronics 
Abstract: The problems of stability and stabilization for the discrete Takagi-Sugeno (T-S) fuzzy time-delay system are investigated. By constructing a discrete piecewise Lyapunov-Krasovskii function (PLKF) in each maximal overlapped-rules group (MORG), a new sufficient stability condition for the open-loop discrete T-S fuzzy time-delay system is proposed and proved. Then the systematic design of the fuzzy controller is investigated via the parallel distributed compensation control scheme, and a new stabilization condition for the closed-loop discrete T-S fuzzy time-delay system is proposed. The above two sufficient conditions only require finding common matrices in each MORG. Compared with the common Lyapunov-Krasovskii function (CLKF) approach and the fuzzy Lyapunov-Krasovskii function (FLKF) approach, these proposed sufficient conditions can not only overcome the defect of finding common matrices in the whole feasible region but also largely reduce the number of linear matrix inequalities to be solved. Finally, simulation examples show that the proposed PLKF approach is effective.
URI: http://hdl.handle.net/10397/61237
ISSN: 1004-4132
DOI: 10.1109/JSEE.2016.00020
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