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基于T-S双线性模型的非线性关联大系统的分散控制
引用本文:郭岗,王子须,牛文生,崔西宁. 基于T-S双线性模型的非线性关联大系统的分散控制[J]. 武汉大学学报(工学版), 2010, 43(4)
作者姓名:郭岗  王子须  牛文生  崔西宁
作者单位:1. 西安电子科技大学计算机学院,陕西西安,710071;洛阳师范学院信息技术学院,河南,洛阳,471022
2. 洛阳师范学院信息技术学院,河南,洛阳,471022
3. 中国航空计算技术研究所,陕西西安,710068
摘    要:对一类由Takagi-Sugeno(T-S)双线性模型描述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(PDC)算法,导出了闭环关联大系统渐近稳定的充分条件,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(LMIs)约束的凸优化问题.最后,通过仿真例子验证了所提方法的有效性.

关 键 词:非线性关联大系统  分散控制  线性矩阵不等式  T-S模糊双线性模型

Decentralized control for time-delay nonlinear interconnected systems based on T-S bilinear model
GUO Gang,WANG Zixu,NIU Wensheng,CUI Xining. Decentralized control for time-delay nonlinear interconnected systems based on T-S bilinear model[J]. Engineering Journal of Wuhan University, 2010, 43(4)
Authors:GUO Gang  WANG Zixu  NIU Wensheng  CUI Xining
Abstract:The decentralized state feedback control problem is studied for a nonlinear interconnected systems which is composed by a number of Takagi-Sugeno(T-S)fuzzy bilinear subsystems with interconnections.Based on the Lyapunov criterion and the parallel distribution compensation scheme,the stabilization sufficient conditions are derived for the whole close-loop fuzzy interconnected systems,which have less conservativeness than the existing methods.The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality(LMIs)constraints.Finally,a simulation example shows the effectiveness of the proposed approach.
Keywords:nonlinear interconnected system  decentralized control  linear matrix inequality  T-S fuzzy bilinear model
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