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基于LMI的时滞关联模糊大系统的分散镇定 被引量：5

LMI-Based Decentralized Stabilization of Fuzzy Large-Scale Systems With Time-Delay Interconnections
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摘要 讨论了具有时滞关联的连续时间模糊大系统的分散镇定问题 ,基于李亚普诺夫稳定性理论及大系统分散控制理论 ,给出了保证该时滞模糊大系统闭环渐近稳定的 LMI形式的充分条件 .满足这些充分条件的分散化并行分布补偿 ( DPDC)控制器参数可通过 MATLAB的 LMI工具箱有效的对其进行求取 . Decentralized stabilization problem of continuous-time fuzzy large-scale systems with time-delay interconnections is considered in this paper. Based on Lyapunov stability theory and decentralized control theory of large-scale system, LMI-based sufficient conditions for asymptotic stability of the closed-loop fuzzy large-scale systems with time-delay are given, and the DPDC (Decentralized Parallel Distributed Compensation) fuzzy controllers satisfying these LMIs can be found efficiently via LMI toolbox in Matlab software.
作者 蔡勇 张友刚 肖建
机构地区 西南交通大学电气工程学院
出处 《数学的实践与认识》 CSCD 北大核心 2004年第6期128-137,共10页 Mathematics in Practice and Theory
基金 国家自然科学基金 ( 697740 2 4)资助
关键词 时滞 模糊大系统 分散镇定 LMI time-delay fuzzy large-scale system decentralized stabilization LMI
分类号 O231 [理学—运筹学与控制论]
  • 相关文献

参考文献13

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二级参考文献4

共引文献18

同被引文献43

  • 1张友刚,向静,肖建.基于线性矩阵不等式的参数不确定性关联模糊大系统的分散鲁棒镇定[J].控制理论与应用,2004,21(3):457-462. 被引量：5
  • 2佟绍成,曲连江,曹希宁.一类离散非线性不确定互联系统的模糊分散控制[J].控制与决策,2005,20(6):639-645. 被引量：1
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  • 4K Tanaka, M Sugeno. Stability analysis and design of fuzzy control systems[J]. Fuzzy sets and systems, 1992, 45(2): 135-156.
  • 5E Kim, H Lee. New approaches to relaxed quadratic stability condition of fuzzy control systems[J]. IEEE Transactions on Fuzzy Systems, 2000, 8(5): 523-534.
  • 6Yang Yan Cao, P M Frank. Analysis and synthesis of nonlinear time-delay system via fuzzy control approach[J]. IEEE Transaction on Fuzzy Systems, 2000, 8(2): 200-211.
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  • 9Bing Chen, Xiao-ping Liu, Shao-cheng Tong. New delay-dependent stabilization condition of T-S fuzzy systems with constant delay[J]. Fuzzy sets and systems, 2007, 158: 2209-2224.
  • 10W J Wang, L Luoch. Stability and stabilization of fuzzy large-scale systems[J]. IEEE Transactions on fuzzy systems, 2004, 12(3): 309-315.

引证文献5

二级引证文献10

数学的实践与认识
2004年 第6期

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