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一类离散非线性不确定互联系统的模糊分散控制 被引量:1

Decentralized fuzzy robust control for nonlinear uncertain interconnected systems
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摘要 利用模糊控制方法研究一类离散非线性互联系统的分散控制问题.首先采用模糊(T-S)模型对离散非线性不确定互联系统进行模糊建模,应用并行分布补偿算法(PDC)给出状态反馈分散模糊控制方案,并基于李亚普诺夫函数方法证明了闭环系统的稳定性.然后当系统的状态不完全可测时,设计模糊分散观测器来估计各子系统的状态,从而给出基于观测器的状态反馈分散模糊控制设计的方法.因为该分散模糊控制设计问题是以线性矩阵不等式的形式给出,所以很容易用凸优化方法求解.仿真结果验证了所提出控制方法的有效性. The decentralized control problem is studied for a class of discrete nonlinear interconnected systems via fuzzy control method. The nonlinear interconnected system is represented by an equivalent Takagi-Sugeno type mode. A state feedback decentralized fuzzy control scheme is developed by the parallel distributed compensation algorithm. The stability of nonlinear interconnected systems is proved. In the case that states are not all available, a decentralized fuzzy observer is proposed to estimate the states of each subsystem for decentralized control. Consequently, a fuzzy observer-based state feedback decentralized fuzzy controller is proposed. The problem of decentralized fuzzy control design for nonlinear interconnected systems is formulated in the format of linear matrix inequalities and solved very efficiently using convex optimization techniques. Finally, simulation examples show the effectiveness of the proposed methods.
出处 《控制与决策》 EI CSCD 北大核心 2005年第6期639-645,共7页 Control and Decision
基金 国家自然科学基金项目(60274019) 国家973计划项目(2002CB312200) 辽宁省人才基金项目.
关键词 模糊分散控制 模糊T-S模型 线性矩阵不等式 稳定性分析 Fuzzy control Nonlinear control systems Robustness (control systems) Stability State feedback
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参考文献5

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同被引文献9

  • 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
  • 2Tanaki K,Sugeno M.Fuzzy identification of systems and its applications to modeling and control[J].IEEE Tran on Sys,Man and Cyber,1985,15:116-132
  • 3Ma X J,Sun Z Q,He Y Y.Analysis and design of fuzzy controller and observer[J].IEEE Tran on Fuzzy Systems,1998,6(1):41-51
  • 4Cao Y Y,Frank P M.Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach[J].IEEE Tran on Fuzzy systems,2000,8(2):200-211
  • 5Cao Y Y,Frank P M.Stability analysis and synthesis of nonlinear time-delay system via linear takagi-sugino fuzzy models[J].Fuzzy Sets and Systems,2001,124(2):213-229
  • 6Wang W J,Luoch L.Stability and stabilization of fuzzy large-scale systems[J].IEEE Tran on Fuzzy Systems,2004,12(3):309-315
  • 7Tseng C S,Chen B S.Decentralized fuzzy model reference tracking control design on nonlinear interconnected systems[J].IEEE Tran on Fuzzy systems,2001,9(6):795-809
  • 8Chen C W,Chiang W L,Hsiao F H.Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems[J].Mathematics and Computers in Simulation,2004,66:523-537
  • 9蔡勇,张友刚,肖建.基于LMI的时滞关联模糊大系统的分散镇定[J].数学的实践与认识,2004,34(6):128-137. 被引量:5

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