Use of Structural Adaption in Parameter Estimation from A Time Series

摘要：

A structural adaption method is introduced for estimating unknown parameters when the time series of a scalar function of variables from a multivariate nonlinear dynamical system is given. The method employs an adaptive control method including variable transformation. The method is shown to work when the function explicitly depends on a variable with the evolution equation in which the unknown parameter appears explicitly, and the method is shown to work should the previously adaptive control method not work. The method provides a way to extract the unknown parameters out from a time series. Numerical simulations are presented for the Lorenz and the Rosslor systems.

作者: Xiping Sun Bing Peng

作者单位: Department of Electrical Engineering Hubei Automotive Industries Institute Shiyan, Hubei, P.R.China, 442002

会议类型: 国际会议

会议名称: Fourth International Conference on Impulsive and Hybrid Dynamical Systems(ICIHDS 2007)(第四届国际脉冲和混合动力系统学术会议)

会议地点: 南宁

会议语种:英文

在线出版日期: 2007-07-20（万方平台首次上网日期，不代表论文的发表时间）