Fuzzy Modeling of Non-Uniformly Sampling Nonlinear Systems Based on Clustering Method and Convergence Analysis  

作　　者：WANG Hongwei XIE Lirong 

机构地区：[1]School of Electrical Engineering,Xinjiang University,Urumqi 830047,China [2]School of Control Science and Control Engineering,Dalian University of Technology,Dalian 116024,China

出　　处：《Journal of Systems Science & Complexity》2021年第2期502-519,共18页系统科学与复杂性学报（英文版）

基　　金：the National Natural Science Foundation of China under Grant Nos.61863034and 51667021。

摘　　要：The studying motivation of this paper is that there exist many modeling issues of nonuniformly sampling nonlinear systems in industrial systems.Based on multi-model modeling principle,the corresponding model of non-uniformly sampling nonlinear systems is described by the nonlinear weighted combination of some linear models at local working points.Fuzzy modeling based on multimodel scheme is a common method to describe the dynamic process of non-linear systems.In this paper,the fuzzy modeling method of non-uniformly sampling nonlinear systems is studied.The premise structure of the fuzzy model is confirmed by GK fuzzy clustering,and the conclusion parameters of the fuzzy model are estimated by the recursive least squared algorithm.The convergence perfromance of the proposed identification algorithm is given by using lemmas and martingale theorem.Finally,the simulation example is given to demonstrate the effectiveness of the proposed method.

关 键 词：Convergence analysis fuzzy modeling nonlinear systems non-uniformly sampling systems 

分 类 号：N941[自然科学总论—系统科学]