非线性关联大系统的控制器设计  

Design of the controller for nonlinear interconnected systems

作　　者：郭岗[1,2] 牛文生[3] 马建峰[1] 

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：《西安电子科技大学学报》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)

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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]