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|Title:||Fuzzy-model-based D-stability and nonfragile control for discrete-time descriptor systems with multiple delays|
|Citation:||IEEE Transactions on Fuzzy Systems, 2014; 22(4):1019-1025|
|Fanbiao Li, Peng Shi, Ligang Wu, and Xian Zhang|
|Abstract:||This paper is concerned with the problems of D-stability and nonfragile control for a class of discrete-time descriptor Takagi–Sugeno (T-S) fuzzy systems with multiple state delays. D-stability criteria are proposed to ensure that all the poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Furthermore, a sufficient condition is presented such that the closed-loop system is regular, causal, and D-stable, in spite of parameter uncertainties and multiple state delays. The corresponding solvability conditions for the desired fuzzy-rule-dependent nonfragile controllers are also established. Finally, examples are given to show the effectiveness and advantages of the proposed techniques.|
|Keywords:||D-stability; descriptor system; multiple time-delays, nonfragile control; Takagi–Sugeno (T–S) fuzzy systems|
|Rights:||© 2013 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications standards/publications/rights/index.html for more information.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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