基于模糊模型的时滞不确定系统的模糊H_∞鲁棒反馈控制

Fuzzy H_∞, robust feedback control for uncertain nonlinear system with time-delay based on fuzzy model

讨论了一类具有状态和控制时滞的不确定非线性系统的模糊H_∞状态反馈控制问题。采用具有时滞的不确定Takagi-Sugeno(T-S)模糊模型对非线性系统进行建模,提出了一套基于LMI的模糊鲁棒控制器的系统设计方法,给出了模糊H_∞状态反馈控制器存在的充分条件,以保证闭环模糊系统渐近稳定并满足从干扰输入到控制输出的H_∞范数界约束。

The problem of the fuzzy H∞ state feedback control for a class of uncertain nonlinear systems with input and state time delay was addressed. The uncertain Takagi-Sugeno (T-S) fuzzy model with time delay was adopted for fuzzy modeling of nonlinear system. The systematic design procedures based on LMI for the fuzzy robust controller design were given and some sufficient conditions were derived for the existence of fuzzy H∞ state feedback controllers such that the closed-loop system was asymptotically stable and the effect of the disturbance input on the controlled output was reduced to a prescribed level. Simulation results show the effectiveness of the proposed method.