模糊双线性关联系统的反馈控制  

Feedback Control for a Class of Interconnected Systems Based Fuzzy Bilinear Model

作　　者：郭岗[1] 牛文生[2] 

机构地区：[1]洛阳师范学院信息技术学院,河南洛阳471022 [2]中国航空计算技术研究所,西安710068

出　　处：《北京邮电大学学报》2011年第1期135-139,共5页Journal of Beijing University of Posts and Telecommunications

基　　金：国防预研究基金项目(C0520061364)

摘　　要：为了分析一类基于Takagi-Sugeno双线性模型的非线性关联大系统的分散静态输出控制反馈问题,提出了一种改进的李雅普诺夫函数方法.通过构造新型的李雅普诺夫函数,得到了闭环关联大系统渐近稳定的充分条件.在证明过程中,通过放松约束条件使该方法得到的稳定条件比现有结果具有更小的保守性.利用线性矩阵不等式设计出相应的分散模糊控制器.理论分析和仿真结果表明,该方法具有更好的稳定性能.Based on improved Lyapunov function,a new method is proposed to analyze the problem of decentralized static output feedback control for a class of nonlinear interconnected systems composed with a number of Takagi-Sugeno fuzzy bilinear subsystems with interconnections.By constructing a new Lyapunov function,some sufficient stabilization conditions are derived for the whole close-loop fuzzy interconnected systems.The stabilization conditions got by loosing the restricted conditions in the proving have less conservativeness than the existing methods.The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality constraints.Analysis and simulation show that the proposed wethod has a better stabilization property.

关 键 词：非线性关联大系统 模糊双线性模型 分散控制 静态输出反馈控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]