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基于T-S双线性模型的非线性关联大系统的分散控制 被引量：2

Decentralized control for time-delay nonlinear interconnected systems based on T-S bilinear model
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摘要 对一类由Takagi-Sugeno(T-S)双线性模型描述的非线性关联大系统,研究了其分散状态反馈控制问题.根据Lyapunov稳定性分析理论和并行分布补偿(PDC)算法,导出了闭环关联大系统渐近稳定的充分条件,该条件比现有结果具有更小的保守性.设计出了相应的分散模糊控制器,并将其转化成为一个受线性矩阵不等式(LMIs)约束的凸优化问题.最后,通过仿真例子验证了所提方法的有效性. The decentralized state feedback control problem is studied for a nonlinear interconnected systems which is composed by a number of Takagi-Sugeno（T-S）fuzzy bilinear subsystems with interconnections.Based on the Lyapunov criterion and the parallel distribution compensation scheme,the stabilization sufficient conditions are derived for the whole close-loop fuzzy interconnected systems,which have less conservativeness than the existing methods.The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality（LMIs）constraints.Finally,a simulation example shows the effectiveness of the proposed approach.
作者 郭岗 王子须 牛文生 崔西宁
机构地区 西安电子科技大学计算机学院 洛阳师范学院信息技术学院 中国航空计算技术研究所
出处 《武汉大学学报（工学版）》 CAS CSCD 北大核心 2010年第4期541-544,共4页 Engineering Journal of Wuhan University
基金 国防基金科研项目(编号:C0520061364)
关键词 非线性关联大系统 分散控制 线性矩阵不等式 T-S模糊双线性模型 nonlinear interconnected system decentralized control linear matrix inequality T-S fuzzy bilinear model
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献12

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  • 2郭岗,牛文生,崔西宁,叶宏.带有时变时滞的不确定模糊系统的鲁棒控制[J].华中科技大学学报（自然科学版）,2009,37(11):22-25. 被引量：7
  • 3郭岗,牛文生,崔西宁.时滞模糊系统的鲁棒非脆弱H_∞控制[J].华中科技大学学报（自然科学版）,2009,37(12):68-71. 被引量：8
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二级参考文献28

  • 1郑科,俞立,张贵军.基于T-S模型的非线性系统非脆弱保性能模糊控制[J].系统工程与电子技术,2006,28(4):577-581. 被引量：2
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共引文献15

同被引文献21

  • 1Chen M, Feng G, Ma H, et al. Delay-dependent H filter design for discrete-time fuzzy systems with time-varying delays[J]. IEEE Trans on Fuzzy Syst,2009,17(3):604- 616.
  • 2Yuan K, Li H X, Cao J. Robust stabilization of the distributed parameter system with time delay via fuzzy control [ J ]. IEEE Trans Fuzzy Syst, 2008,16 ( 3 ) : 567 - 584.
  • 3Gao J H, Liu X, Lain J. Stability analysis and stabilization for discrete-time fuzzy systems with time-varying delay [ J ]. IEEE Trans on Syst Man ahd Cybe, 2009,39 ( 2 ) : 306 - 316.
  • 4Pang C T, Lur Y Y. On the stability of Takagi-Sugeno fuzzy systems with time-varying uncertainties [ J ]. IEEE Trans Fuzzy Syst,2008,16( 1 ) : 162 - 170.
  • 5Tseng C S, Chen B S. H∞ decentralized fuzzy model reference tracking control design on nonlinear interconnected systems [ J ]. IEEE Tran Fuzzy Syst,2001,9 (6) :795 - 809.
  • 6Wang R J. Nonlinear decentralized state feedback controller for uncertain fuzzy time-delay interconnected systems [ J ]. Fuzzy Sets and Syst,2005,151 ( 1 ) : 191 - 204.
  • 7Li T H S,Tsai S H. T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems [ J ]. IEEE Trans Fuzzy Syst, 2007,15 ( 3 ) :494 - 505.
  • 8Li T H S, Tsai S H, et al. Robust H∞ fuzzy control for a class of uncertain discrete fuzzy bilinear systems [ J ]. IEEE Trans Syst, Man, Cybe, 2008,38 ( 2 ) :510 - 526.
  • 9Wang R J, Lin W W, Wang W J. Stabilizability of linear quadratic state feedback for uncertain fuzzy time-delay systems[J]. IEEE Trans Syst, Man,Cybe,2004,34(2) :1 288 - 1 292.
  • 10WANG W J,LUOCH L.Stability and stabilization of fuzzy large-scale systems[J].IEEE Trans Fuzzy Syst,2004,12(3):309-315.

引证文献2

二级引证文献1

武汉大学学报（工学版）
2010年 第4期

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