二维模糊系统的H_∞性能分析

H_∞ Performance Analysis for 2-D Fuzzy Systems

主要研究了一类基于T-S模型的带有参数不确定性的二维模糊系统的H∞性能分析问题。二维系统采用二维系统的FM模型,假定系统参数的不确定性具有线性分式结构,利用基依赖的Lyapunov函数结合不等式变换技巧,建立了满足给定性能指标的系统渐近稳定的充分条件。最后通过仿真实验验证了结果的有效性。

This paper deals with H∞performance analysis for two-dimensional T-S fuzzy systems described by the Fornasini-Marchesini（ FM） second model. The system is assumed to be of structured linear fractional uncertainty. By using basis-dependent Lyapunov function and matrix inequality skills,sufficient conditions for the 2-D uncertain fuzzy systems to be asymptotically stable are given in terms of linear matrix inequalities.Finally,a numerical example demonstrates the validity of the proposed method.