控制理论与应用2016，Vol.33Issue(7)：929-935,7.DOI:10.7641/CTA.2016.50777
一类乘积型区间二型模糊控制器的解析结构
Analytical structure of a class of product & interval-type-2 fuzzy controllers
摘要
Abstract
The difficulties in deriving the analytical structure of IT2 (interval type-2) fuzzy controllers chiefly come from the iterative computation in type-reduction algorithms. In this paper, we propose a novel technique for deriving the analytical structure of the IT2 fuzzy controllers based on product AND operators. The controllers are configured with triangle IT2 input fuzzy sets, T1 output fuzzy singletons, center-of-sets type reducer, centroid defuzzifier, and product AND operators in precedent parts of fuzzy rules. In comparison to the analytical structure of traditional PID controllers, it is proven that such IT2 fuzzy controllers are equivalent to the sum of two nonlinear PI (or PD) controllers. By means of the iteration-stopping conditions of KM algorithm, an IC-partitioning approach with six steps is presented, which guarantees that a fired subspace can be partitioned correctly. Superimposing all subspaces can produce an overall figure of IC partitions. To avoid solving the symbolic mathematical equations repeatedly, a direct method is given to determine IC boundaries, which facilitates the six-step approach of IC partitioning. Our approach sidesteps the iterative computation in type-reducing algorithm, and guarantees that the closed-loop analytical expression of the IT2 fuzzy controllers can be obtained.关键词
模糊系统/模糊集合/模糊控制器/隶属度函数/区间二型模糊逻辑/解析结构Key words
fuzzy systems/fuzzy sets/fuzzy controllers/membership functions/IT2 fuzzy logic/analytical structure分类
信息技术与安全科学引用本文复制引用
龙祖强,许岳兵,李龙..一类乘积型区间二型模糊控制器的解析结构[J].控制理论与应用,2016,33(7):929-935,7.基金项目
国家自然科学基金项目(61074069,11401185),湖南省重点建设学科,衡阳师范学院湖南省应用基础研究基地开放基金项目(GD15K05)资助 （61074069,11401185）
