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一类带有时变时滞的模糊双线性系统的稳定控制 被引量：1

Stability Control for a Class of Fuzzy Bilinear System with Time-Varying Delay
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摘要 该文研究了一类输入和状态都带有时变时滞的模糊双线性系统的稳定控制问题。基于并行分布补偿算法(PDC)和自由权值矩阵,得到了系统时滞相关的渐近稳定的充分条件,并把这些条件转换成线性矩阵不等式(LMI)的形式,模糊控制器可以由一组线性矩阵不等式的解得到。最后,通过仿真数例验证了所提方法的有效性。 The stability control problem is considered for a class of Fuzzy Bilinear Systems （FBS） with timevarying delay in both state and input. Based on the Parallel Distributed Compensation （PDC） method and free-weighting matrices, some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The stabilization conditions are further formulated into Linear Matrix Inequalities （LMIs） so that the desired controller can be easily obtained by using the Matlab LMI toolbox. A numerical example is given to show the effectiveness of the presented approach.
作者 张果 李俊民
机构地区 西安电子科技大学理学院
出处 《电子与信息学报》 EI CSCD 北大核心 2009年第9期2132-2136,共5页 Journal of Electronics & Information Technology
基金 国家自然科学基金(60374015)资助课题
关键词 模糊控制 模糊双线性系统 时滞相关 线性矩阵不等式(LMI) Fuzzy control Fuzzy Bilinear System（FBS） Delay-dependent Linear Matrix Inequality（LMI）
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11

  • 1Zhou S S, Lain J, and Zheng W X. Control design for fuzzy systems based on relaxed nonquadratic stability and H-infinity performance conditions [J]. IEEE Transactions on Fuzzy Systems, 2007, 15(2): 188-198.
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同被引文献7

  • 1Dong J X, Yang G H. Control synthesis of T-S fuzzy systems based on a new control scheme[J].IEEE Trans on Fuzzy Systems, 2011,19(2):393 -338.
  • 2Liu Y, Zhao S W, Lu J Q. New results on H-infinitefilter design for nonlinear systems with time delay via T- S fuzzy models[J]. IEEE Trans on Fuzzy Systems, 2011,19(1) :193 - 199.
  • 3AnJ Y, Wen G L, Lin C, et al. New results on a delay- derivative-dependent fuzzy H-infinite filter design for T- S fuzzy systems[J]. IEEE Trans on Fuzzy Systems, 2011,19(4) :770 - 779.
  • 4Tsai S H, Li T H S. Robust fuzzy control of a class of fuzzy bilinear systems with time-delay [J]. Chaos, Solitons and Fractals, 2009,39(5) :2028 - 2040.
  • 5Li T H S, Tsai S H. Robust Hoo fuzzy control for a class of uncertain discrete fuzzy bilinear systems [J]. IEEE Trans on Syst, Man, Cybe, 2008,38(2) : 510 - 526.
  • 6Wang R J, Lin W W, Wang W J. Stabilizability of linear quadratic state feedback for uncertain fuzzy time- delay systems [J]. IEEE Trans on Syst Man Cybe, 2004,34(2) :1288 - 1292.
  • 7Guo Zhang,Mingli Song.Static output feedback control for discrete-time fuzzy bilinear system[J].Journal of Systems Engineering and Electronics,2010,21(2):296-299. 被引量：4

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电子与信息学报
2009年 第9期

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