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A New Method of Parameter Estimation in Linear Systems

Gavalas, George R. (1973) A New Method of Parameter Estimation in Linear Systems. AIChE Journal, 19 (2). pp. 214-222. ISSN 0001-1541. doi:10.1002/aic.690190203.

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A time domain method is given for estimating the matrix of related parameters in linear systems with constant coefficients and real eigenvalues. The method consists of a one-dimensional search for the local minima of a scalar function μ(λ), which provide the eigenvalues of the system matrix and the matrix itself when observable. Applications are given to the determination of a transfer function and the estimation of the rate matrix of a monomolecular reaction system. Questions of accuracy, number, and type of measurements required are discussed.

Item Type:Article
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Gavalas, George R.0000-0003-1468-6835
Additional Information:© 1973 American Institute of Chemical Engineers. Manuscript received July 6, 1972; revision received August 30, 1972; paper accepted September 5, 1972.
Issue or Number:2
Record Number:CaltechAUTHORS:20151105-083145260
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Official Citation:Gavalas, G. R. (1973), A new method of parameter estimation in linear systems. AIChE J., 19: 214–222. doi: 10.1002/aic.690190203
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61874
Deposited By: Ruth Sustaita
Deposited On:06 Nov 2015 20:18
Last Modified:10 Nov 2021 22:55

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