区间二型随机模糊系统的稳定性分析和控制设计
Stability analysis and control design for interval type–2 stochastic fuzzy systems

本文主要研究了一类基于T--S模型的区间二型随机模糊系统的稳定性问题. 旨在设计一个状态反馈控制器, 使得闭环系统随机渐近稳定.利用 随机李雅普诺夫方法, 建立了系统随机稳定的充分条件. 利用区间二型模糊集合隶属函数的特性, 引入松弛矩阵, 得到一个保守性更好的稳定性结果. 最后通过两个仿真例子, 验证了所设计方法优势和有效性.
This paper considers the stabilization problem of a class of T–S model-based interval type--2 stochastic fuzzy systems. The objective is to design a state feedback fuzzy controller such that the closed-loop system is stochastically asymptotically stable. Sufficiency conditions of stochastic stability for the systems are established by using the stochastic Lyapunov approach. Considering the properties of the interval type--2 membership functions, we introduce some slack matrices in order to derive a less conservative result. Finally, two simulation examples are given to illustrate the advantages and effectiveness of the proposed method.