个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职:数学科学学院副院长
其他任职:石河子大学理学院院长(援疆)
性别:男
毕业院校:大连理工大学
学位:博士
所在单位:数学科学学院
学科:运筹学与控制论
电子邮箱:wanglei@dlut.edu.cn
Nonparametric Identification of Affine Nonlinear Systems
点击次数:
论文类型:会议论文
第一作者:Chen, Xing-Min
合写作者:Gao, Chao,Wang, Lei
发表时间:2013-07-26
收录刊物:EI、CPCI-S、Scopus
页面范围:2007-2011
关键字:Affine nonlinear system; Nonparametric kernel regression estimation; Recursive identification; Markov chain; Strong consistency
摘要:Recursive nonparametric identification of affine nonlinear systems is considered in this paper. First, by using Markov chain approach, the geometric ergodicity is established for the affine nonlinear system under suitable conditions with the help of the concept of Q-geometric ergodicity. Then recursive local constant kernel regression estimator is proposed for estimating the values of the nonlinear functions at fixed points. It is proved that the estimate converges to the true value with probability one. Finally a simulation example is provided to justify the theoretical analysis.