T-S模糊有记忆非易碎系统保成本控制器设计的LMI方法

LMI-based Guaranteed Cost Controller Designs for T-S Fuzzy Memory Non-fragile Systems

采用线性矩阵不等式(LMI)方法,研究了基于T-S模型有记忆非易碎模糊系统的保成本问题.利用Lya-punov稳定性理论和线性矩阵不等式方法,在控制器增益加法式摄动的情况下,给出了有记忆非易碎模糊系统保成本控制器存在的充分条件及状态反馈控制器的设计方法.所得到的有记忆非易碎保成本控制器在闭环系统中是渐近稳定的,同时提供了一个成本函数的上界.最后通过数据仿真结果表明,所提出的方法是可行且有效的.

Using linear matrix inequality （LMI） and based on the T-S fuzzy model, the guaranteed cost controller of memory non-fragile systems is studied. A sufficient condition for the existence of guaranteed cost controllers and the controller design scheme are proposed for T-S fuzzy memory terms of Lyapunov stability theory and LMI approach with controller gain perturb guaranteed cost controller ensures the asymptotical stability of the fuzzy closed-loop upper-bound for the given guaranteed cost function. Finally, a numerical example is sibility and effectiveness of the proposed techniques. non-fragile systems in ations. The suggested systems, and gives an given to show the fea sibility and effectiveness of the proposed techniques.