T-S模糊离散多时滞系统的H_∞控制  

H-infinity control for T-S fuzzy discrete systems with multiple time-delays

作　　者：纪志成[1] 孙予明[1] 王艳[1] 

机构地区：[1]江南大学电气自动化研究所,江苏无锡214122

出　　处：《控制理论与应用》2009年第7期751-757,共7页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60774030);江南大学创新团队发展计划(200702)

摘　　要：提出了一种新型非二次型Lyapunov函数,在非并行分布补偿控制策略框架下,研究了一类基于T-S模糊模型的离散多时滞系统的H∞控制.通过引入一个矩阵变换,所得控制律均以线性矩阵不等式的形式给出.现有的并行分布补偿控制律可视作该新方法在某些条件下的特例.仿真算例显示,该函数方法保守性较低,系统控制性能良好.By developing a novel nonquadratic Lyapunov function, we study the H-infinity control for a class of Takagi-Sugeno（T-S） fuzzy-model-based discrete systems with multiple time-delays via nonparallel distributed compensation control（non-PDC） scheme. Introducing a matrix transformation, we perform the stability analysis and derive the H-infinity control law in terms of linear matrix inequalities（LMI＇s）. The obtained results are also suitable for a PDC scheme under special conditions. Two numerical examples show his scheme has sufficient conditions less conservative than those previously obtained within the quadratic framework; and provides a good control performances for the whole system.

关 键 词：T-S模糊模型 时滞 H∞控制 非二次型Lyapunov函数 非并行分布补偿控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]