离散T-S模糊控制系统的稳定性研究  

Stability Analysis of Discrete T-S Fuzzy Control Systems

作　　者：刘俊[1] 金朝永[1] 肖元[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510006

出　　处：《广东工业大学学报》2010年第3期22-26,共5页Journal of Guangdong University of Technology

摘　　要：在分段模糊Lyapunov函数的基础上研究了输入采用双交叠模糊分化的模糊控制系统的性质,并提出了最大交叠域的概念.在此基础上提出了一个新的判定T-S模糊系统稳定性的充分条件,该条件就是在最大交叠域中分别寻找公共的正定矩阵,减少了以往稳定性判定方法的保守性和难度.具体实例说明了本条件的有效性和优越性.Based on piecewise fuzzy Lyapunov function,the properties of fuzzy control systems employing two-overlapped fuzzy partition inputs are studied,and the notation of maximal overlapped-rule area is also proposed.These new sufficient conditions to check the stability of a T-S fuzzy control system are proposed.The conditions require finding a common positive-definite matrix in each maximal overlapped-rule area,which can reduce the conservation and difficulty of former stability analysis approaches.Finally,an example is given to show the approach is effective and advantageous.

关 键 词：离散T-S模糊系统 分段模糊Lyapnuov函数 模糊分化 稳定性 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]