Article ID Journal Published Year Pages File Type
724172 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

A parameter estimation method for chaotic systems with low-dimensional chaos is proposed. Such systems display peak-to-peak dynamics, i.e. their chaotic dynamics can accurately be represented by means of a 1-D map. The method essentially consists of searching for the best matching between the 1-D map generated with a parameter-dependent, a priori defined continuous-time model, and the 1-D map derived from the data. The application of the method to several examples proves that it is quite accurate and fairly insensitive to the measurement noise.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics