基于T-S模糊模型的不确定非线性系统的鲁棒模糊控制

Robust fuzzy control of uncertain nonlinear systems via T-S fuzzy model

讨论了一类由T S模糊模型表示的不确定非线性系统的鲁棒控制器的设计问题 .首先用标准的DFE结构刻画系统的不确定性 ,再采用PDC(并行分布补偿 )的基本思想设计状态反馈控制器 ,然后利用T S模糊模型扩展的稳定性条件 ,给出了系统以衰减率α全局渐近稳定的充分条件 ,最后基于线性矩阵不等式 (LMI)方法 ,将鲁棒控制器的设计问题转化为线性矩阵不等式问题(LMIP) .Lorenz混沌系统的仿真表明本设计方法的有效性 .

Firstly, the uncertainty is characterized in the standard decision feedback equa lizer (DFE) structure and the concept of the so-called parallel distributed com pensation (PDC) is employed to design the state feedback-controller. Secondly, ba sed on the relaxed stability conditions of T-S fuzzy model, sufficient conditio ns with respect to decay rate α are given in the sense of Lyapunov asymptotic stability. Finally, by the LMI(linear matrix inequality) method, the problem of designing the robust fuzzy controller is converted into LMIP(linear matrix inequality problem). The effectiveness of the proposed contro ller design methodology is demonstrated through numerical simulations on the cha otic Lorenz system.