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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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)
