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