基于模糊Lyapunov-Krasovskii函数的离散时滞T-S模糊模型的非二次镇定条件  

Non-quadratic Stabilization Conditions for Discrete T-S Fuzzy Model with Delay via Fuzzy Lyapunov-Krasovskii Function

作　　者：王仁明[1] 肖建修[1] 潘俊涛[1] 

机构地区：[1]三峡大学电气信息学院,湖北宜昌443002

出　　处：《三峡大学学报（自然科学版）》2006年第6期531-535,共5页Journal of China Three Gorges University：Natural Sciences

基　　金：三峡大学博士基金项目(600108)

摘　　要：研究了离散时滞T-S模糊模型基于模糊Lyapunov-Krasovskii函数的稳定性分析及控制器设计问题.首先,构造出离散型模糊Lyapunov-Krasovskii函数,此函数是系数与T-S模糊模型的模糊规则权重相对应的复合型Lyapunov-Krasovskii函数.然后,基于一系列线性矩阵不等式,得到了开环系统稳定的充分条件,进而又基于非二次PDC控制律,设计出了模糊控制器.最后,仿真实例验证了该方法的有效性和优越性.The stability analysis and controller design problem of discrete T-S fuzzy model with delay are studled via fuzzy Lyapunov Krasovskii function. First, a new fuzzy Lyapunov-Krasovskii function for discrete T-S fuzzy model is constructed. The fuzzy Lyapunov-Krasovskii function shares the same membership functions with the T-S fuzzy model. Then, a new sufficient condition for the stability of open-loop system is proposed based on linear matrix inequality （LMI）; and a fuzzy controller is designed via non-quadratic PDC control law. Finally, simulation examples show the validity and advantage of the proposed method.

关 键 词：T-S模糊模型 模糊Lyapunov-Krasovskii函数 渐近稳定 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]