输入采用标准模糊分划的模糊控制系统性质及稳定性分析

具体定义模糊控制系统输入变量的标准模糊分划，研究和证明输入采用标准模糊分划的模糊控制系统的有关性质。在此基础上，采用Lyapunov直接法研究该类模糊控制系统的稳定性，提出一个判定模糊控制系统稳定性的充分条件。该条件将以往方法要在所有的子系统中寻找一个公共的正定矩阵满足Lyapunov不等式，放宽为在各最大交叠规则组内分别寻找公共的正定矩阵，从而减小稳定性判定的保守性和难度。

Properties and Stability Analysis of Fuzzy Control Systems Employing Standard Fuzzy Partition Inputs

The standard fuzzy partition of input variables of fuzzy control systems is well defined. (Based) on analysis of the properties of fuzzy control systems employing standard fuzzy partition inputs, the stability of this type systems is studied in detail by Lyapunov direct method, and a sufficient (condition) to check the stability of a fuzzy control system is proposed. This condition only requires (finding) a common positive-definite matrix in each max overlapped-rules group. It can greatly reduce the conservatism and difficulty of the former stability analysis approaches, which require finding a (common) positive-definite matrix in all the local linear models.