• Electronics Optics & Control
  • Vol. 21, Issue 10, 80 (2014)
MA Qing-liang, DENG Hui-xuan, LV Kang-wen, CHEN Yi-cheng, and LI Hong-zeng
Author Affiliations
  • [in Chinese]
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    DOI: 10.3969/j.issn.1671-637x.2014.10.018 Cite this Article
    MA Qing-liang, DENG Hui-xuan, LV Kang-wen, CHEN Yi-cheng, LI Hong-zeng. H Control of Polynomial Fuzzy Systems Based on SOS Optimization[J]. Electronics Optics & Control, 2014, 21(10): 80 Copy Citation Text show less
    References

    [1] TANAKA K, WANG H O.Fuzzy control systems design and analysis:A linear matrix inequality approach[M].New York: John Wiley & Sons, Inc, 2001.

    [2] FENG G.A survey on analysis and design of model-based fuzzy control systems[J].IEEE Transactions on Fuzzy Systems, 2006, 14(5):676-697.

    [3] LIU D, LI H S, ZHU S Q, et al.Iterative learning initial control based on T-S fuzzy model[J].Electronics Optics & Control, 2013, 20(10):27-32.

    [4] LI H, ZOU K.Attitude control of a 3D rigid pendulum based on T-S fuzzy model[J].Control and Decision, 2013, 28(12):1786-1790.

    [5] TANAKA K, YOSHIDA H, OHTAKE H, et al.A sum of squares approach to stability analysis of polynomial fuzzy systems[C]//Proceedings of the American Control Conference, New York, 2007:4071-4076.

    [6] TANAKA K, YOSHIDA H, OHTAKE H, et al.Stabilization of polynomial fuzzy systems via a sum of squares approach[C]//The 22nd IEEE International Symposium on Intelligent Control, Singapore, 2007:160-165.

    [7] TANAKA K, OHTAKE H, WANG H O.Guaranteed cost control of polynomial fuzzy systems via a sum of squares approach[J].IEEE Transactions on Systems, Man, and Cybernetics—Part B:Cybernetics, 2009, 39(2):561-567.

    [8] TANAKA K, OHTAKE H, SEO T, et al.An SOS-based observer design for polynomial fuzzy systems[C]//Proceedings of the American Control Conference, San Francisco, 2011:4953-4958.

    [9] PARRILO P A.Structured semi-definite programs and semi-algebraic geometry method in robustness and optimization[D].Pasadena:California Institute of Technology, 2000.

    [10] MA Q L, YANG H Y, YUE R H, et al.Optimization control of spacecraft large angle attitude maneuvers[J].Aero-space Control and Application, 2013, 39(3): 8-13.

    [11] PRAJNA S, PAPACHRISTODOULOU A, WU F.Nonli-near control synthesis by sum of squares optimization:A Lyapunov-based approach[C]//Proceedings of the Asian Control Conference(ASCC), Melbourne, 2004: 157-165.

    [12] LEE K P, JEUNG E T, PARK H B.Robust fuzzy H∞ control for uncertain nonlinear systems via state feedback:An LMI approach[J].Fuzzy Sets and Systems, 2001, 120: 123-134.

    [13] PRAJNA S, PAPACHRISTODOULOU A, PARRILO P A.Introducing SOSTOOLS:A general purpose sum of squares programming solver[C]//Proceedings of the IEEE Confe-rence on Decision and Control, Las Vegas, 2002: 741-746.

    MA Qing-liang, DENG Hui-xuan, LV Kang-wen, CHEN Yi-cheng, LI Hong-zeng. H Control of Polynomial Fuzzy Systems Based on SOS Optimization[J]. Electronics Optics & Control, 2014, 21(10): 80
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