一类有记忆T-S模糊系统的渐近稳定性

Asymptotic Stability of a Class of T-S Fuzzy System with Memory

基于带有状态不确定项的T-S模糊系统,通过设计有记忆反馈控制器,利用Lyapunov稳定性理论实现系统的全局渐近稳定性,首先通过构造Lyapunov二次函数,证明在此有记忆反馈控制器下,形成的闭环系统是全局渐近稳定的,其次,通过利用matlab中的LMI工具箱求解控制器的反馈增益矩阵,最后通过仿真算例说明文章所用方法的有效性。

For a T - S fuzzy system with uncertain state terms, a memory feedback controller was designed, thus the global asymptotic stability of the system was achieved with Lyapunov stability theory. Firstly, by construc- ting a Lyapunov quadratic function, it was proved that the closed -loop system was asymptotically stable through the application of this memory feedback controller. Secondly, the feedback gain matrix of the controller was found with trate the linear matrix inequality （LMI） technique in MATLAB. Finally, a simulation example was given to illus- the validity of the proposed method