T-S模糊系统的稳定性分析与镇定控制器设计  

Stability analysis and synthesis of T-S fuzzy systems

作　　者：周林娜[1] 张庆灵[1] 胡跃冰[1] 杨春雨[1] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004

出　　处：《控制理论与应用》2007年第6期886-890,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60574011);辽宁省自然科学基金资助项目(20052022).

摘　　要：应用广义模糊Lyapunov函数方法研究T-S模糊系统的稳定性与控制器设计问题.首先,将T-S模糊系统表示成模糊广义系统的形式;然后利用广义模糊Lyapunov函数得到模糊系统稳定的充分条件,并且给出基于线性矩阵不等式(LMI)的PDC控制器设计方法.该方法与已有的模糊Lyapunov函数方法相比,计算量小,并且表达成LMI形式,容易求解.最后,通过例子验证方法的优越性和有效性.The problems of stability analysis and controller design of T-S fuzzy systems are investigated by using descriptor fuzzy Lyapunov function approach. Firstly, the T-S fuzzy systems are formulated as fuzzy descriptor systems; Then, by descriptor fuzzy Lyapunov function, a sufficient condition for the fuzzy systems to be stable is derived and an LMI-based parallel distributed compensation（PDC） controller design method is given. Compared with the existing fuzzy Lyapunov function method, the proposed method is simpler and can be formulated into LMIs which can be solved easily. Finally, an example is given to illustrate the advantage and validity of the approach.

关 键 词：T-S模糊系统 稳定性 广义模糊系统 模糊LYAPUNOV函数 LMI PDC控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]