不确定离散多时滞系统的模糊动态输出反馈保性能控制  

Fuzzy dynamic output feedback guaranteed cost control for uncertain systems with multiple time delays

作　　者：张鸿恺[1] 屈百达[1] 徐保国[1] 

机构地区：[1]江南大学控制科学与工程研究中心,江苏无锡214122

出　　处：《湖北大学学报（自然科学版）》2007年第3期232-237,共6页Journal of Hubei University：Natural Science

基　　金：国家科技部"十五"攻关项目基金(2001BA204B01-03)资助项目

摘　　要：针对一类用T-S模糊模型描述的不确定离散多时滞系统,研究了其动态输出反馈保性能鲁棒控制问题.通过构造一个相应的Lyapunov函数,给出了系统模糊输出反馈保性能控制律存在的一个充分条件和性能上界.并证明了该条件等价于一组线形矩阵不等式的可行性问题.进而,通过建立和求解一个凸优化问题,给出了系统设计次优保性能模糊输出反馈控制律的方法.最后通过一个算例来验证所给结果的有效性.Based on T-S fuzzy model, a fuzzy dynamic output feedback guaranteed cost control problem is studied for a class of uncertain discrete-time systems with multiple time delays. A sufficient condition for the existence of fuzzy output feedback guaranteed cost control law and upper bound of cost function for the systems are given by choosing a proper Lyapunov function. Furthermore, it is shown that this condition is equivalent to the feasibility problem of the linear matrix inequality. Based on that fact, the design method for the suboptimal fuzzy guaranteed cost control law is formulated as a convex optimization problem, which can be solved by recent convex optimization techniques. Finally, a mumerical example is provided to demonstrate the validity of the proposed method.

关 键 词：模糊动态输出反馈 多时滞 保性能控制 不确定性离散系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]