基于非脆弱控制器设计的不确定模糊系统稳定性研究

Stability of a class of uncertain fuzzy systems based on non-fragile controller design

研究不确定动态模糊系统的稳定性问题.提出一类不确定T-S动态模糊系统的非脆弱控制问题,并进行了控制器设计.首先给出不确定T-S动态模糊系统的模型;然后利用Lyapunov函数方法,研究连续不确定动态模糊系统的非脆弱控制器设计,得到基于LMI的不确定动态模糊系统的全局渐近稳定性条件.通过对一级倒立摆的不确定模糊非脆弱控制器设计的实例,表明了设计方法的可行性和有效性.

The stabilization of uncertain dynamical fuzzy systems is studied. A non-fragile control is presented for a class of uncertainty T-S dynamical fuzzy systems, and the controller of this kind of model is designed. A class of uncertainty T-S dynamical fuzzy systems is given using the Lyapunov function method. The non-fragile controller design of continuous uncertain dynamical fuzzy system is given. Moreover, global asymptotic stability conditions of the uncertainty dynamical fuzzy system are given using LMI. An inverted pendulum example of non-fragile controller design of uncertainty T-S fuzzy systems shows the feasibility and the effectiveness of the method.