High-accuracy state and parameter estimation using Chebyshev spectral discretization method

Research output: Chapter in Book/Report/Conference proceedingsConference contributionpeer-review

1 Citation (Scopus)

Abstract

In this paper, we propose an algorithm for state and parameter estimation of nonlinear dynamical systems. In a usual manner, estimation is obtained by solving iteratively a sequence of linear least squares problems with equality constraints. Formulation of the least squares problem is based on Chebyshev spectral discretization. Chebyshev grid resolution is determined automatically to maximize computation accuracy. The key quality of the algorithm lies in the use of the barycentric interpolation formula when solving the least squares problem with various grid resolutions. High-accuracy of the proposed estimation method is contributed to this interpolation formula that is found to be numerically stable and computationally effective. Two numerical examples are presented to demonstrate accuracy of the proposed algorithm.

Original languageEnglish
Title of host publication18th Mediterranean Conference on Control and Automation, MED'10 - Conference Proceedings
Pages448-453
Number of pages6
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event18th Mediterranean Conference on Control and Automation, MED'10 - Marrakech, Morocco
Duration: 23 Jun 201025 Jun 2010

Publication series

Name18th Mediterranean Conference on Control and Automation, MED'10 - Conference Proceedings

Conference

Conference18th Mediterranean Conference on Control and Automation, MED'10
CountryMorocco
CityMarrakech
Period23.06.201025.06.2010

Fingerprint Dive into the research topics of 'High-accuracy state and parameter estimation using Chebyshev spectral discretization method'. Together they form a unique fingerprint.

Cite this