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This paper considers the design problem of observer-based H output feedback control over the nonlinear Takagi-Sugeno (T-S) fuzzy systems with distributed delays．Firstly, delay-dependent sufficient conditions satisfy the H performance, are given for the stability analysis in terms of non-strict linear matrix inequality; then, the equivalent linear matrix inequality stability conditions can be obtained. Based on this, the solvable of the observer-based H output feedback control problem is proposed. Finally, a numerical example is given to illustrate the effectiveness of the design approach here.
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Keywords:
- T-S fuzzy systems /
- distributed delays /
- observer-based output feedback control /
- H control
[1] Cao Y Y, Frank P M 2000 IEEE Transactions on Fuzzy Systems 8 200
[2] Wang H, Han Z Z, Zhang W, Xie Q Y 2008 Acta Phys. Sin. 57 2779 (in Chinese) [王划, 韩正之, 章伟, 谢七月 2008 57 2779]
[3] Song X N, Fu Z M, Liu L P 2012 Chin. Phys. B 21 118701
[4] Shi P, Mahmoud M, Yi J, Ismail A 2005 Information Sciences 176 186
[5] Lee S M, Kwon O M, Park J H 2010 Chin. Phys. B 19 050507
[6] Li Z, Han C Z 2001 Acta Phys. Sin. 50 847 (in Chinese) [李智, 韩崇昭 2001 50 847]
[7] Gao Y, Li L, Peng H, Yang Y, Zhang X 2008 Acta Phys. Sin. 57 1444 (in Chinese) [高洋, 李丽香, 彭海朋, 杨义先, 张小红 2008 57 1444]
[8] Niu Y, Ho D W C, Lam J 2005 Automatica 41 873
[9] Lee H J, Park J B, Chen G 2001 IEEE Transactions on Fuzzy Systems 9 369
[10] Lee K R, Kim J H, Jeung E T, Park H B 2000 IEEE Transactions on Fuzzy Systems 8 657
[11] Cao Y Y, Frank P M 2002 IEEE Transactions on Fuzzy Systems 8 406
[12] Xu S, Lam J 2005 IEEE Transactions on Fuzzy Systems 13 82
[13] Zhou S, Feng G, Lam J, Xu S 2005 Information Sciences 174 197
[14] Guan X P, Chen C L, Fan Z P 2002 Acta Phys. Sin. 51 753 (in Chinese) [关新平, 陈彩莲, 范正平 2002 51 753]
[15] Zhang H, Yang D, Chai T 2007 IEEE Transactions on Systems Man and Cybernetics Part C-Applications and Reviews 37 160
[16] Zhang H, Xie X 2011 IEEE Transactions on Fuzzy Systems 19 478
[17] Yue D, Lam J 2005 Optimal Control Applications and Methods 26 85
[18] Xu S, Lam J, Chen B 2004 European Journal of Control 10 365
[19] Yang D, Zhang H, Zhao Y, Song C, Wang Y 2010 Acta Phys. Sin. 59 1562 (in Chinese) [杨东升, 张化光, 赵琰, 宋崇辉, 王迎春 2010 59 1562]
[20] Li N, Liu H, Xiang W 2012 Acta Phys. Sin. 61 230505 (in Chinese) [李宁, 刘恒, 向伟 2012 61 230505]
[21] Gong D W, Zhang H G, Wang Z S 2012 Chin. Phys. B 21 030204
[22] Fridman E, Shaked U 2002 IEEE Transactions on Automatic Control 47 253
[23] Ali M 2011 Chin. Phys. B 20 080201
[24] Yang D, Zhang J 2013 Journal of Northeastern University (Natural Science) 34 305 (in Chinese) [杨冬梅, 张静 2013 东北大学学报 (自然科学版) 34 305]
[25] Lo J C, Lin M L 2004 IEEE Transactions on Fuzzy Systems 12 350
[26] Lin C, Wang Q G, Lee T H, He Y, Chen B 2008 Automatica 44 868
[27] Song X, Xu S, Shen H 2008 Information Sciences 178 4341
[28] Xie L, de Souza C E 1992 IEEE Transactions on Automatic Control 37 1188
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[1] Cao Y Y, Frank P M 2000 IEEE Transactions on Fuzzy Systems 8 200
[2] Wang H, Han Z Z, Zhang W, Xie Q Y 2008 Acta Phys. Sin. 57 2779 (in Chinese) [王划, 韩正之, 章伟, 谢七月 2008 57 2779]
[3] Song X N, Fu Z M, Liu L P 2012 Chin. Phys. B 21 118701
[4] Shi P, Mahmoud M, Yi J, Ismail A 2005 Information Sciences 176 186
[5] Lee S M, Kwon O M, Park J H 2010 Chin. Phys. B 19 050507
[6] Li Z, Han C Z 2001 Acta Phys. Sin. 50 847 (in Chinese) [李智, 韩崇昭 2001 50 847]
[7] Gao Y, Li L, Peng H, Yang Y, Zhang X 2008 Acta Phys. Sin. 57 1444 (in Chinese) [高洋, 李丽香, 彭海朋, 杨义先, 张小红 2008 57 1444]
[8] Niu Y, Ho D W C, Lam J 2005 Automatica 41 873
[9] Lee H J, Park J B, Chen G 2001 IEEE Transactions on Fuzzy Systems 9 369
[10] Lee K R, Kim J H, Jeung E T, Park H B 2000 IEEE Transactions on Fuzzy Systems 8 657
[11] Cao Y Y, Frank P M 2002 IEEE Transactions on Fuzzy Systems 8 406
[12] Xu S, Lam J 2005 IEEE Transactions on Fuzzy Systems 13 82
[13] Zhou S, Feng G, Lam J, Xu S 2005 Information Sciences 174 197
[14] Guan X P, Chen C L, Fan Z P 2002 Acta Phys. Sin. 51 753 (in Chinese) [关新平, 陈彩莲, 范正平 2002 51 753]
[15] Zhang H, Yang D, Chai T 2007 IEEE Transactions on Systems Man and Cybernetics Part C-Applications and Reviews 37 160
[16] Zhang H, Xie X 2011 IEEE Transactions on Fuzzy Systems 19 478
[17] Yue D, Lam J 2005 Optimal Control Applications and Methods 26 85
[18] Xu S, Lam J, Chen B 2004 European Journal of Control 10 365
[19] Yang D, Zhang H, Zhao Y, Song C, Wang Y 2010 Acta Phys. Sin. 59 1562 (in Chinese) [杨东升, 张化光, 赵琰, 宋崇辉, 王迎春 2010 59 1562]
[20] Li N, Liu H, Xiang W 2012 Acta Phys. Sin. 61 230505 (in Chinese) [李宁, 刘恒, 向伟 2012 61 230505]
[21] Gong D W, Zhang H G, Wang Z S 2012 Chin. Phys. B 21 030204
[22] Fridman E, Shaked U 2002 IEEE Transactions on Automatic Control 47 253
[23] Ali M 2011 Chin. Phys. B 20 080201
[24] Yang D, Zhang J 2013 Journal of Northeastern University (Natural Science) 34 305 (in Chinese) [杨冬梅, 张静 2013 东北大学学报 (自然科学版) 34 305]
[25] Lo J C, Lin M L 2004 IEEE Transactions on Fuzzy Systems 12 350
[26] Lin C, Wang Q G, Lee T H, He Y, Chen B 2008 Automatica 44 868
[27] Song X, Xu S, Shen H 2008 Information Sciences 178 4341
[28] Xie L, de Souza C E 1992 IEEE Transactions on Automatic Control 37 1188
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