【作者】 郭兴进；

【导师】 慕小武；

【作者基本信息】 郑州大学 ， 应用数学， 2008， 硕士

【摘要】 基于T-S模型,本论文对基于采样数据的非线性奇异摄动系统的鲁棒H_∞控制问题进行研究.对于T-S模型中规则后件中的各个局部线性模型,利用“输入滞后”（inputdelay）方法,将基于采样数据的离散形式的控制律转化为带滞后的连续形式的控制律.在此控制律之下,局部闭环系统成为一个变时滞的连续奇异摄动系统.在对此闭环系统的稳定性和L₂增益特征进行分析的基础上,以LMI的形式给出了满足要求的控制律满足的条件.然后将各个局部线性模型的控制律利用模糊推理方法“合成”为系统总的控制律。更多还原

【Abstract】 Based on T-S fuzzy model, state-feedback robust H_∞control problem for nonlinear singularly perturbed systems is studied. For each individual local linear model in T-S fuzzy model, the recent "input delay" approach to sampled-data control is applied, where the closed-loop system is represented as a continuous one with time-varying input delay. Linear matrix inequalities （LMIs） for solution of robust H_∞control problem are derived via input-output approach to stability and L₂-gain analysis of time-delay systems. The resulting overall controller, which is nonlinear in general, is a fuzzy "blending" of each individual linear controller.更多还原