信息与控制2017，Vol.46Issue(5)：564-570,7.DOI:10.13976/j.cnki.xk.2017.0564
连续T-S模糊系统新的镇定条件和H∞ 控制器设计
Novel Stabilization Condition and H∞ Controller Design for Continuous T-S Fuzzy Systems
摘要
Abstract
We study the problem of stabilization and controller design for a class of continuous-time Takagi-Sugeno ( T-S) fuzzy systems. On the basis of the fuzzy Lyapunov approach and parallel distributed compensation ( PDC) scheme, we derive a novel stabilization condition in terms of linear matrix inequalities ( LMIs) by fur-ther exploring the properties of the time derivatives of premise membership functions and introducing more slack matrix variables. We also provide a design procedure for the responding controller. The proposed ap-proach decouples the Lyapunov matrices from the system matrices and fully considers the properties of the time derivatives of the premise membership functions, thereby providing more freedom to the LMI problems. Nu-meric examples demonstrate that the novel stabilization condition enlarges the stabilization regions of the sys-tem, reduces conservatism, and ensures that the designed controller has a smaller degree of disturbance atten-uation, thereby improving the performance of the system.关键词
T-S模糊系统/模糊李亚普诺夫函数/H∞控制/线性矩阵不等式(LMI)Key words
T-S fuzzy system/fuzzy Lyapunov function/H∞ control/linear matrix inequality( LMI)分类
信息技术与安全科学引用本文复制引用
贺铁清,陈珺,刘飞..连续T-S模糊系统新的镇定条件和H∞ 控制器设计[J].信息与控制,2017,46(5):564-570,7.基金项目
国家自然科学基金资助项目(61403167) （61403167）
