一类有记忆T-S模糊时滞系统的保成本控制

The guaranteed cost control for a class of memory T-Sfuzzy time-celay systems

基于带有状态不确定项的T-S模糊时滞系统,通过设计有记忆反馈模糊控制器,利用Lyapunov稳定性理论和线性矩阵不等式(LMI)技术,给出了T-S模型的有记忆保成本控制器存在的充分条件,并提供成本函数的一个上界;其次,通过构造Lyapunov二次函数,证明在此有记忆反馈控制器下形成的闭环系统是渐近稳定的;最后通过仿真算例说明方法的有效性.

Based on the T-Sfuzzy systems with the state of uncertain,it is designed of a memory fuzzy feedback controller,by using the Lyapunov stability theory and linear matrix inequality(LMI)technique,a sufficient condition for the existence of guaranteed cost controllers is given,and an upper-bound for the given guaranteed cost function is supplied.Secondly,by constructing a Lyapunov function and using the memory feedback controller,the closed-loop system is asymptotically stable.Finally,the simulation example is given to illustrate the validity of the proposed method.