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一类不确定T-S非线性时滞系统的镇定研究

Stabilization for a Class of T-S Uncertain Nonlinear Systems with Time-Delay
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摘要 研究了一类不确定T-S非线性时滞系统的稳定性分析与镇定问题.通过构造新的模糊权依赖型Lyapunov泛函,引用自由权矩阵和二重积分,以线性矩阵不等式的形式给出了不确定非线性时滞系统的稳定和镇定的充分条件,最后以仿真例子说明了所提方法的有效性. Problem of delay-dependent stability analysis and stabilization for a class of T-S uncertain nonlinear delay systems is studied. By constructing new Lyapunov functionals which include fuzzy membership functions, the fuzzy weighing matrices and double integrals are introduced, Based on the feasibility solutions of some linear matrix inequalities, the delay-dependent stability criteria and the new stabilization design scheme are derived. Finally, numerical examples are given to show the effectiveness of the results.
作者 张红 孔令花 万莹
机构地区 大连海洋大学理学院
出处 《三峡大学学报（自然科学版）》 CAS 2012年第3期94-99,共6页 Journal of China Three Gorges University：Natural Sciences
基金 辽宁省教育厅科学技术研究项目(L2010068)
关键词 T-S模型 线性分式不确定性 时滞 模糊控制 线性矩阵不等式 T-S model linear fractional uncertainty timedelay fuzzy concrol linear matrix inequalitiy
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6

  • 1苏亚坤,陈兵,王仿桐.T-S非线性时滞系统的镇定研究[J].三峡大学学报（自然科学版）,2009,31(5):99-104. 被引量：1
  • 2Chen B, Liu X. Delay-dependent Robust Control for T-S Fuzzy Systems with Time Delay[J]. IEEE Trans. Fuzzy Syst. , 2005, 13(2) :238-249.
  • 3Li C, Wang H, Liao X. Delay-dependent Robust Stabil- ity of Uncertain Fuzzy Systems with Time-varying Delay [J]. Proc. Inst. Elect. Eng. Control Theory Appl., 2004,151 (4) :417-421.
  • 4Nagy A M, Mourot G, Marx B, et al. Model Structure Simplification of a Biological Reactor[C]. In 15th IFAC Symposium on System Identification, SYSID'09, Saint Malo, France, 2009, 235-245.
  • 5Chen W H, Guan Z H. Delay-dependent Exponential Stability of Uncertain Stochastic System with Multiple Delays: An LMI Approach[J]. System Control Let- ters, 2005, 54:547-555.
  • 6ZhangBY, Zhou SS, LiT. A New Approach to Ro- bust and Non-fragile Control for Uncertain Fuzzy Sys- tems[J]. Inform. Sci. ,2007,177:5118-5133.

二级参考文献15

  • 1周林娜,张庆灵,杨春雨.T-S模糊系统的局部稳定[J].控制与决策,2007,22(6):622-625. 被引量：3
  • 2Cao Y Y, Frank P M. Analysis and Synthesis of Nonlinear Time-delay System Via Fuzzy Control Approach [J]. IEEE Transactions on Fuzzy Systems, 2000,8(2): 200-211.
  • 3Guan X P, Chen C L. Delay-dependent Guaranteed Cost Control for T-S Fuzzy Systems with Time Delays[J]. IEEE Transactions on Fuzzy Systems, 2004, 12 (2) : 236- 249.
  • 4Wu H N, Li H X. New Approach to Delay-dependent Stability Analysis and Stabilization for Continuous-time Fuzzy Systems with Time-varying Delay [J]. IEEE Trans. Fuzzy Systems, 2007,15(3) :482-493.
  • 5Lin C, Wang Q G, LeeT H. Delay-dependent LMI Conditions for Stability and Stabilization of T-S Fuzzy Systems with Bounded Time-delay[J]. Fuzzy Sets and Systems, 2006,157 : 1229-1247.
  • 6Lin C, Wang Q G, Lee T H. A Less Conservative Stability Test for Linear Uncertain Time-delay Systems[J]. IEEE Trans. Automat. Control, 2006,51(1) :87-91.
  • 7Tuan H D, Apkarian P, Narikiyo T, et al. Parameterized Linear Matrix Inequality Techniques in Fuzzy Control System Design[J]. IEEE Trans. Fuzzy Systems, 2001,9(2) :324-332.
  • 8Tian E G, Chen P. Delay-dependent Dtability Analysis and Synthesis of Uncertain T-S Fuzzy Systems with Time-varying Delay[J].Fuzzy Sets and Systems,2006, 157(4) ,544-559.
  • 9Yue D, Lain J. Delay Feedback Control of Uncertain Systems with Time-varying Input Delay[J]. Automatica, 2005,41:233-240.
  • 10He Y, Wang Q G, Lin C, et al. Delay-range-dependent Stability for Systems with Time-varying Delay[J]. Automatiea, 2007,43:371-376.
三峡大学学报（自然科学版）
2012年 第3期

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