A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Ligang WuJianbin Qiu

Abstract

This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper.

References

Aug 15, 2006·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Huai-Ning Wu
Mar 11, 2009·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Huijun GaoJames Lam
Apr 2, 2009·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Ligang Wu, Wei Xing Zheng
Apr 18, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Baozhu Du, James Lam

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Citations

Nov 7, 2014·IEEE Transactions on Cybernetics·Xianwei Li, Huijun Gao
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Ligang WuJames Lam
Aug 1, 2013·IEEE Transactions on Cybernetics·Xiaojie SuSing Kiong Nguang
Apr 2, 2014·IEEE Transactions on Cybernetics·Xiaojie SuMichael V Basin
Jul 18, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Jinhui ZhangYuanqing Xia
May 25, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xiaojie SuYong-Duan Song
Mar 22, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Qing GaoJianbin Qiu
Apr 8, 2015·IEEE Transactions on Cybernetics·Hongyi LiYabin Gao
Apr 22, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Xin WangJunjian Huang
Jul 25, 2015·IEEE Transactions on Cybernetics·Xudong ZhaoXiaolong Zheng
Feb 19, 2016·IEEE Transactions on Cybernetics· Zhiguang Feng, Wei Xing Zheng
Jan 24, 2017·IEEE Transactions on Neural Networks and Learning Systems·Yueying WangDengping Duan
May 7, 2019·Frontiers in Neuroscience·Zuchang ZhangWenzhong Lin

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