摘要
为提高具有变时滞的非线性不确定动态系统的动态性能,研究了模糊鲁棒输出反馈H_∞控制问题。基于线性矩阵不等式(Linear matrix inequality,LMI)技术和T-S模糊模型,首先利用Lyapunov稳定性定理,得到模糊输出反馈控制器存在的一个充分条件,在此基础上,通过构造算法,将该条件转化为易于实现的LMI形式,导出控制器设计方法。设计的模糊输出反馈控制器使得闭环系统渐近稳定且满足H_∞范数指标。实例仿真证明了该设计方法可行．
The fuzzy control of the output feedback is researched to improve the dynamic performance of nonlinear systems with uncertain time delays. Based on the linear matrix inequality （LMI） technique and the T-S fuzzy model, the Lyapunov stability theorem is used to obtain a sufficient condition for the existence of the fuzzy controller for the output feedbeek. Then an algorithm is constructed to transform the sufficient condition into a LMI form, thus obtaining a method for designing the controller. The designed controller guarantees the closed-loop system to be asympototically stable and meets a H∞ norm level. The simulation shows that the method is applicable.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
2006年第B07期45-49,共5页
Journal of Nanjing University of Aeronautics & Astronautics
关键词
非线性不确定系统
动态输出反馈控制
模糊鲁棒控制
线性矩阵不等式
变时滞
nonlinear uncertain system
dynamic output feedback control
fuzzy robust control
linear matrix inequality
varying time delay
