T-S模糊有记忆非易碎系统H_∞控制器设计的LMI方法

LMI-based H_∞ controller designs for T-S fuzzy systems with memory non-fragile

针对T-S模型的有记忆非易碎模糊系统,基于Lyapunov稳定性理论,利用线性矩阵不等式(LMI)方法,借助Schur补引理,讨论了该模糊系统的H∞状态反馈控制器的设计问题。在控制器增益为加法式摄动的有界条件下,得到了基于T-S模型的有记忆非易碎模糊系统,满足了H∞性能指标的一个充分条件,仿真结果表明了设计方法的有效性。

Based on Lyapunov stability, by means of linear matrix inequality （LMI）, and using Schur complement lemma, state feedback H∞ controller design is considered for memory non-fragile systems based on T-S fuzzy model. A sufficient condition which satisfied H∞ performance is presented with gain variation. The simulation results prove the reliability of this method.