一类模糊系统的分解性质和稳定性分析

The Decomposition Property and Stability Analysis of a Class of Fuzzy Systems

探讨一类动态模糊模型的分解性质 ,通过一个简单的构造性的分解过程 ,将模糊系统的输入空间划分为一些子输入空间 ,从而把一般的模糊状态空间系统分解为一些定义在子输入空间上的子模糊系统 .这些子模糊系统具有最简单的结构 ,从而可以简化模糊系统稳定性的分析及设计 .进一步基于模糊系统的分解性质 ,引入分段连续的Lyapunov函数和S procedure 。

This paper discussed the decomposition of a class of fuzzy systems using a simple, constructive decomposition procedure. By dividing the input space into subinput space, a general fuzzy system is decomposed in to several subfuzzy systems which are the simplest fuzzy systems in the subinput spaced. This subfuzzy systems have the simplest structures, so the stability analysis and design of this class of fuzzy systems can be simplified. Furthermore, based on the decomposition property and introduced the piecewise Lyapunov function and S procedure, a sufficient condition is presented via the linear matrix inequality.