TY - GEN

T1 - Parameter estimation by solving multivariate polynomial system

T2 - 2012 20th Mediterranean Conference on Control and Automation, MED 2012

AU - Zivanovic, Rastko

PY - 2012

Y1 - 2012

N2 - This paper describes a parameter estimation algorithm applicable for the model structures in the form of multivariate polynomial systems. An example of a synchronous machine nonlinear model is used throughout the paper to explain the contribution. The fundamental in the proposed algorithm is the idea of reformulating the least squares estimation problem having the polynomial model into a numerical linear algebra problem. Recorded signals are represented using the Lagrange interpolation at the Chebyshev points which allows accurate computation of signal derivatives and numerical integration as both are required in the algorithm. The paper explores sensitivity of the algorithm to the power of recorded signals (i.e. excitation intensity) and discusses impact of roundoff error.

AB - This paper describes a parameter estimation algorithm applicable for the model structures in the form of multivariate polynomial systems. An example of a synchronous machine nonlinear model is used throughout the paper to explain the contribution. The fundamental in the proposed algorithm is the idea of reformulating the least squares estimation problem having the polynomial model into a numerical linear algebra problem. Recorded signals are represented using the Lagrange interpolation at the Chebyshev points which allows accurate computation of signal derivatives and numerical integration as both are required in the algorithm. The paper explores sensitivity of the algorithm to the power of recorded signals (i.e. excitation intensity) and discusses impact of roundoff error.

UR - http://www.scopus.com/inward/record.url?scp=84866936472&partnerID=8YFLogxK

U2 - 10.1109/MED.2012.6265704

DO - 10.1109/MED.2012.6265704

M3 - Conference contribution

AN - SCOPUS:84866936472

SN - 9781467325318

T3 - 2012 20th Mediterranean Conference on Control and Automation, MED 2012 - Conference Proceedings

SP - 604

EP - 609

BT - 2012 20th Mediterranean Conference on Control and Automation, MED 2012 - Conference Proceedings

Y2 - 3 July 2012 through 6 July 2012

ER -