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非线性关联大系统的控制器设计

Design of the controller for nonlinear interconnected systems
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摘要 对一类由Takagi-Sugeno双线性模型描述的带有时变时滞的非线性关联大系统,研究了其分散状态反馈控制问题.根据Lyapunov稳定性分析理论和并行分布补偿算法,导出了闭环关联大系统时滞相关渐进稳定的充分条件,该条件比现有结果具有更小的保守性.设计出了相应的分散模糊控制器,并将其转化成为一个受线性矩阵不等式约束的凸优化问题. The decentralized state feedback control problem is studied for a nonlinear interconnected systems with a time-varying delay in both states and inputs which are composed of a number of Takagi-Sugeno (T-S) fuzzy bilinear subsystems with interconnections. Based on the Lyapunov criterion and the parallel distribution compensation scheme, the delay-dependent stabilization sufficient conditions are derived for the whole close-loop fuzzy intercormected systems, which have less conservativeness than that by the existing methods. The corresponding decentralized fuzzy controller design is convened into a convex optimization problem with linear matrix inequality (LMI) constraints. Finally, a simulation example shows the effectiveness of the proposed approach.
出处 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2011年第1期142-146,183,共6页 Journal of Xidian University
基金 国家部委基金科研资助项目(C0520061364)
关键词 模糊控制系统 时滞系统 鲁棒控制 非线性关联大系统 分散控制 线性矩阵不等式 fuzzy control systems delay systems robust control nonlinear interconnected system decentralized control linear matrix inequality
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