基于TS模型的二型模糊控制器和观测器分析与设计

Analysis and Design of Type-2 Fuzzy Controller and Observer Based on TS Model

摘要: 主要探讨一种新的系统方法——二型模糊系统在控制上的应用．文章先介绍了二型模糊集合和系统的基本概念和基本方法，然后集中推导TS模型下规则的输出形式，推广一型系统的特性，从而获得二型模糊控制器和观测器的表达式、稳定性以及其它特性分析方法，并以小车倒立摆仿真验证．最后文章从整体上分析和比较了传统系统、一型模糊系统和二型模糊系统的主要特点和不同点．

Abstract: This paper addresses the application to controlling of a new system method, type-2 FLS(fuzzy logic system). The basic concept and operations of type-2 fuzzy sets and systems are introduced, the output forms of type-2 FLS rules are deduced based on the TS model, and the analysis and design of the type-2 fuzzy controller and observer are given on the basis of the TS model. The numerical simulation on an inverted pendulum cart is given to confirm the theory. At the end of this paper, the analysis and comparison among the traditional method, type-1 FLS method and type-2 FLS method are discussed.