引用本文:纪志成,孙予明,王艳.T-S模糊离散多时滞系统的H∞控制[J].控制理论与应用,2009,26(7):751~757.[点击复制]
JI Zhi-cheng,SUN Yu-ming,WANG Yan.H-infinity control for T-S fuzzy discrete systems with multiple time-delays[J].Control Theory and Technology,2009,26(7):751~757.[点击复制]
T-S模糊离散多时滞系统的H∞控制
H-infinity control for T-S fuzzy discrete systems with multiple time-delays
摘要点击 1279  全文点击 993  投稿时间：2008-05-18  修订日期：2008-10-07
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DOI编号  10.7641/j.issn.1000-8152.2009.7.CCTA080484
  2009,26(7):751-757
中文关键词  T-S模糊模型  时滞  H1控制  非二次型Lyapunov函数  非并行分布补偿控制
英文关键词  T-S fuzzy model  time delays  H-infinity control  nonquadratic Lyapunov function  nonparallel distributed compensation(non-PDC)
基金项目  国家自然科学基金资助项目(60774030); 江南大学创新团队发展计划(200702).
作者单位E-mail
纪志成* 江南大学电气自动化研究所 zcji@jiangnan.edu.cn 
孙予明 江南大学电气自动化研究所  
王艳 江南大学电气自动化研究所  
中文摘要
      提出了一种新型非二次型Lyapunov函数, 在非并行分布补偿控制策略框架下, 研究了一类基于T-S模糊模型的离散多时滞系统的H∞控制. 通过引入一个矩阵变换, 所得控制律均以线性矩阵不等式的形式给出. 现有的并行分布补偿控制律可视作该新方法在某些条件下的特例. 仿真算例显示, 该函数方法保守性较低, 系统控制性能良好.
英文摘要
      By developing a novel nonquadratic Lyapunov function, we study the H-infinity control for a class of Takagi-Sugeno(T-S) fuzzy-model-based discrete systems with multiple time-delays via nonparallel distributed compensation control(non-PDC) scheme. Introducing a matrix transformation, we perform the stability analysis and derive the H-infinity control law in terms of linear matrix inequalities(LMI’s). The obtained results are also suitable for a PDC scheme under special conditions. Two numerical examples show his scheme has sufficient conditions less conservative than those previously obtained within the quadratic framework; and provides a good control performances for the whole system.