中文摘要：

针对一类不确定的T-S模糊模型，给出了反馈控制器存在的充分条件，该控制器使得闭环极点被配置在给定的线性矩阵不等式（LMI）区域内，同时满足系统对H∞范数和方差约束的要求。基于这一条件和并行分布补偿技术（PDC），借助于LMI和凸优化方法，得出一个全局鲁棒H∞控制器的解析式。最后，通过一个仿真例子，说明该方法的可行性。

英文摘要：

For a class of uncertain T-S fuzzy models, a sufficient and necessary condition for the existence of state feedback control law which assigns the closed-loop poles in a linear matrix inequality （LMI） region in the complex plane and guarantees an H∞-norm bounded constraint and covariance constraint is derived. Based on this condition and the technique of parallel distributed compensator （PDC）, a global robust H∞ controller ensuring the closed-loop system to be regionally stable is designed by means of the linear matrix inequality and convex optimization technique. A numerical example shows the method is feasible.