中文摘要：

提出了参数不确定T-S模糊系统的新型鲁棒镇定条件．该条件表示为线性矩阵不等式（LMI）的形式，将模糊子系统的相互关系收集到一系列矩阵而不是单个矩阵中，因此比近期刊出文献中的宽松二次镇定条件具有更小的保守性．以该LMI条件为基础，容易得到不确定T-S模糊控制系统的状态反馈鲁棒镇定控制器．由于只涉及一组LMI，控制器设计简单并易于数值求解．在转台这一具有参数不确定性的连续时间非线性系统的控制中，所提方法的有效性得到成功验证．

英文摘要：

A new robust stabilization condition for the T-S （Takagi-Sugeno） fuzzy system with parametric uncertainties is proposed. The condition is represented in the form of linear matrix inequalities （LMIs）, and is shown to be less conservative than some relaxed quadratic stabilization conditions published recently since it collects the interactions of fuzzy subsystems into a set of matrices, not just into a single matrix. Based on the derived LMI-based conditions, it is easy to get the state feedback robust stabilizing controller for the uncertain T-S fuzzy systems. Since only a set of LMIs are involved, the controller design is quite simple and numerically tractable. Finally, the validity of the proposed approach is successfully demonstrated in the control of a turntable system, which is a continuous-time nonlinear system with parametric uncertainties.