中文摘要：

通过应用Lyapunov稳定性理论，研究了具有参数不确定性的T—S模糊系统的鲁棒稳定性和耗散性。具有参数不确定性的T-S模糊模型可以以任意精度近似连续非线性不确定系统。假设系统中的参数不确定性是范数有界的。利用Lyapunov稳定性理论给出了鲁棒耗散控制器存在的充分条件。通过解一组线性矩阵不等式（LMIs），可获得鲁棒耗散控制器。设计的鲁棒耗散控制器能够保证对于T—S模糊系统中所有的参数不确定性，闭环系统都是稳定的，且满足给定的耗散性能指标。数值例子证明了方法的有效性。

英文摘要：

Robust stability analysis and dissipativeness for Takagi-Sugeno （T-S） fuzzy systems with para- metric uncertainties are studied via Lyapunov stability theory. The T-S fuzzy model with parametric uncertainties can approximate nonlinear uncertain systems at any precision. The parametric uncertainty is assumed to be norm bounded. With the help of linear matrix inequality （LMI）, robust passive controllers are obtained. The proposed controller can guarantee that for all admissible uncertainties, the resultant closed-loop system is stable and satisfies the proposed dissipative performance. A numerical example demonstrates the effect of the proposed design method.