计算机工程与应用2012，Vol.48Issue(35)：11-14,142,5.DOI:10.3778/j.issn.1002-8331.1204-0772
一种泛函级数建模的新方法及其应用
New modeling method and application based on functional series
摘要
Abstract
Aiming at nonlinear dynamic system is more difficult to arbitrary precision approximation, it proposes a new estimation method using the Volterra series high-end nuclear estimates. This method is based on the theory of the kernel function, constructs special linear space, the solution of the Volterra series order of the nuclear problem is transformed with the output vector of observations for the sake of the projection on a subspace in the Hilbert space, difficult calculation of nonlinear systems of Volterra series in the linear space builds skillfully way to solve the vector inner product. By specific calculation method, compared with other time domain or frequency domain to estimate the Volterra kernel method, the advantage of this algorithm is tight theoretical system, the computation is not with the increased order made of an increase in geometric progression, it has high identification accuracy, in theory, it is able to identify any order kernel, improve that the existing estimate of the Volterra kernel of the method is difficult to estimate the 4 order or higher kernel, in particular, it can be used in the modeling of dynamic systems and strongly nonlinear systems. Identification and simulation of power plant steam turbine system prove the effectiveness of the method.关键词
模式识别/系统辨识/Volterra级数/汽轮机Key words
pattern recognition/ system identification/ Volterra series/ turbine分类
信息技术与安全科学引用本文复制引用
王海涛,段哲民,司伟..一种泛函级数建模的新方法及其应用[J].计算机工程与应用,2012,48(35):11-14,142,5.基金项目
国家电网综合计划项目(No.ZDK048-2010) （No.ZDK048-2010）
西北工业大学基础研究基金(No.JC201013). （No.JC201013）
