基于T-S双线性模型的非线性关联大系统的分散控制  

Decentralized control for time-delay nonlinear interconnected systems based on T-S bilinear model

作　　者：郭岗[1,2] 王子须[2] 牛文生[3] 崔西宁[3] 

机构地区：[1]西安电子科技大学计算机学院,陕西西安710071 [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

出　　处：《武汉大学学报（工学版）》2010年第4期541-544,共4页Engineering Journal of Wuhan University

基　　金：国防基金科研项目(编号:C0520061364)

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.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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]