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基于模糊Lyapunov-Krasovskii函数的离散时滞T-S模糊模型的非二次镇定条件 被引量：2

Non-quadratic Stabilization Conditions for Discrete T-S Fuzzy Model with Delay via Fuzzy Lyapunov-Krasovskii Function
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摘要 研究了离散时滞T-S模糊模型基于模糊Lyapunov-Krasovskii函数的稳定性分析及控制器设计问题.首先,构造出离散型模糊Lyapunov-Krasovskii函数,此函数是系数与T-S模糊模型的模糊规则权重相对应的复合型Lyapunov-Krasovskii函数.然后,基于一系列线性矩阵不等式,得到了开环系统稳定的充分条件,进而又基于非二次PDC控制律,设计出了模糊控制器.最后,仿真实例验证了该方法的有效性和优越性. The stability analysis and controller design problem of discrete T-S fuzzy model with delay are studled via fuzzy Lyapunov Krasovskii function. First, a new fuzzy Lyapunov-Krasovskii function for discrete T-S fuzzy model is constructed. The fuzzy Lyapunov-Krasovskii function shares the same membership functions with the T-S fuzzy model. Then, a new sufficient condition for the stability of open-loop system is proposed based on linear matrix inequality （LMI）; and a fuzzy controller is designed via non-quadratic PDC control law. Finally, simulation examples show the validity and advantage of the proposed method.
作者 王仁明 肖建修 潘俊涛
机构地区 三峡大学电气信息学院
出处 《三峡大学学报（自然科学版）》 CAS 2006年第6期531-535,共5页 Journal of China Three Gorges University：Natural Sciences
基金 三峡大学博士基金项目(600108)
关键词 T-S模糊模型 模糊Lyapunov-Krasovskii函数 渐近稳定 线性矩阵不等式 T-S fuzzy model fuzzy Lyapunov-Krasovskii function asymptotical stability linear matrix inequality
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献9

  • 1Zhou S S,Li T.Robust Stabilization for Delayed Discrete-time Fuzzy Systems via Basis-Dependent Lyapunov-Krasovskii Function[J].Fuzzy sets and Systems,2005,151(1):139-153.
  • 2Feng G,Ma J.Quadratic Stabilization of Uncertain Discrete-Time Fuzzy Dynamic Systems[J].IEEE Trans.on Circuits Systems,2001,48:1337-1344.
  • 3M C de Oliveira,Geromel J C,Bernussou J.Extended H∞ and H2 norm Characteriza-tions and Controller Parametrizations for Discrete-Time Systems[J].Int.J.Control,2002,75(9):666-679.
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同被引文献18

  • 1孙克辉,唐汇国,张泰山.离散混沌系统的线性和非线性反馈同步法及其条件[J].信息与控制,2004,33(4):413-416. 被引量：2
  • 2Guerra T M, Vermeiren L. LMI-based Relaxed Nonquadratic Stabilization Conditions for Nonlinear Systems in Takagi-Sugeno's form[J]. Automatica, 2004, 40(5) : 823-829.
  • 3Tanaka K, Sugeno M. Stability Analysis and Design of Fuzzy Control Systems[J]. Fuzzy Sets and Systems, 1992, 45(2) :135-156.
  • 4Tanaka K, Ikeda T, Wang Hua O. Fuzzy Regulators and Fuzzy Observers: Relaxed Stability Conditions and LMI-based Designs [J]. IEEE Trans. on Fuzzy Sys- tems, 1998, 6(2):250-265.
  • 5G Feng. Controller Synthesis of Fuzzy Dynamic Systems Based on Piecewise Lyapunov Functions [J]. IEEE Trans. Fuzzy Systems, 2003, 11(5): 605-612.
  • 6Johansson M, Rantzer A, Arzen K. Piecewise Quadratic Stability of Fuzzy Systems[J]. IEEE Trans. Fuzzy Systems, 1999, 7: 713-722.
  • 7Tanaka K, Sugeno M. Stability Analysis and Design of Fuzzy Control Systems[J]. Fuzzy sets and systems, 1992, 45(2):135-156.
  • 8Tanaka K, Ikeda T, Wang Hua O, Fuzzy Regulators and Fuzzy Observers: Relaxed Stability Conditions and LMI -based Designs[J]. IEEE Trans. on Fuzzy Systems, 1998, 6(2):250-265.
  • 9Feng G, Ma J. Quadratic Stabilization of Uncertain Discrete-Time Fuzzy Dynamic Systems[J]. IEEE Trans. on Circuits Systems, 2001, 48:1337-1344.
  • 10M C de Oliveira, Geromel J C, Bernussou J. Extended and Norm Characterizations and Controller Parametrizations for Discrete-time Systems[J]. Int. J. Control. 2002, 75(9) :666-679.

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三峡大学学报（自然科学版）
2006年 第6期

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