%0 Journal Article
%T 区间二型随机模糊系统的稳定性分析和控制设计<br>Stability analysis and control design for interval type–2 stochastic fuzzy systems
%A 张彪
%A 周绍生
%J 控制理论与应用
%D 2015
%R 10.7641/CTA.2015.40657
%X 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.<br>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.
%K 区间二型模糊系统 随机稳定 松弛矩阵&lt
%K br&gt
%K interval type--2 fuzzy system stochastic stability slack matrix
%U http://jcta.alljournals.ac.cn/cta_cn/ch/reader/view_abstract.aspx?file_no=CCTA140657&flag=1