摘要
研究了连续时滞T-S模糊模型基于Lyapunov-Krasovskii函数的稳定性分析及控制器设计问题.构造出连续型Lyapunov-Krasovskii函数,然后基于一系列线性矩阵不等式,得到了开环系统稳定的充分条件,该条件具有较少的保守性.进而给出状态反馈控制器设计方法,所设计的控制器能保证闭环系统渐进稳定.最后通过仿真实例验证了该方法的有效性和优越性.
The new generalized delay-dependent stability conditions of Takagi-Sugeno fuzzy time-delay systems are studied. A generalized Lyapunov-Krasovskii function is chosen and a parameterized model transformation with free weighting matrices is introduced to it, in order to obtain generalized delay-dependent stability conditions. Our delay-dependent stability conditions thus obtained are given in terms of linear matrix inequali- ties （LMIs）. Finally, simulation example shows the validity and advantage of the proposed method.
出处
《三峡大学学报（自然科学版）》
CAS
2008年第5期56-59,共4页
Journal of China Three Gorges University：Natural Sciences
关键词
模糊系统
时滞
稳定性
fuzzy systems
time delay
stability
