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T-S模糊模型控制器的LMI设计方法

The application of LMI to T-S fuzzy model controller
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摘要 为了探讨模糊控制系统的稳定性分析和设计方法,依据模糊控制理论,把离散T-S模糊模型看成是一个线性不确定系统,提出了基于线性矩阵不等式和分段Lyapunov函数的模糊控制器设计方法。将闭环控制系统的稳定要求、性能指标约束条件统一到线性矩阵不等式的框架内,通过求解线性矩阵不等式族获得控制器参数。该方法能够保证系统全局稳定,并且具有良好的动态和稳态性能。 Discrete T-S fuzzy model is considered as uncertain linear system, and a controller design method based on linear matrix inequality(LMI) and piecewise Lyapunov function is proposed. Stability and desired control performance of T-S fuzzy model are put into a framework of LMI, and the parameters of controller can be obtained by corivex programming techniques for LMIs. The method can guarantees global stability for T-S model with good dynam/c and steady performance.
作者 丁学明
出处 《电机与控制学报》 EI CSCD 北大核心 2007年第2期196-200,共5页 Electric Machines and Control
基金 上海理工大学博士科研启动金(X641)
关键词 T-S模糊模型 分段LYAPUNOV函数 线性矩阵不等式 T-S fuzzy model piecewise Lyapunov function linear matrix inequality
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参考文献12

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