Abstract
The method of quasilinearization was introduced in Chapter 4 as a successive approximation method for finding the solution of nonlinear two-point boundary problems. In this chapter quasilinearization is used for system identification (References 1–9) using the measurements to formulate the problem as a multipoint boundary-value problem. The least-squares criterion is used to estimate the unknown initial conditions and/or unknown parameters.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Reference
Bellman, R. E., and Kalaba, R. E., Quasilinearization and Nonlinear Boundary-Value Problems, American Elsevier Publishing Company, New York, 1965.
Buell, J., and Kalaba, R. E., Quasilinearization and the fitting of nonlinear models of drug metabolism to experimental kinetic data, Mathematical Biosciences, Vol. 5, pp. 121–132, 1969.
Kagiwada, H. H., System Identification, Methods and Applications, Addison-Wesley Publishing Company, Reading, Massachusetts, 1974.
Eykhoff, P., System Identification, Parameter and State Estimation, John Wiley and Sons, Inc., New York, 1974.
Kalaba, R. E., and Spingarn, K., Optimal inputs and sensitivities for parameter estimation, Journal of Optimization Theory and Applications, Vol. 11, No. 1, pp. 56–67, 1973.
Bellman, R., Jacquez, J., Kalaba, R., and Schwimmer, S., Quasilinearization and the estimation of chemical rate constants from raw kinetic data, Mathematical Bio-sciences, Vol. 1, pp. 71–76, 1976.
Bellman, R., Kagiwada, H., and Kalaba, R., Orbit determination as a multi-point boundary-value problem and quasilinearization, Proceedings of the National Academy of Sciences, Vol. 48, No. 8, pp. 1327–1329, 1962.
Buell, J. D., Kagiwada, H. H., and Kalaba, R. E., A proposed computational method for estimation of orbital elements, drag coefficients, and potential fields parameters from satellite measurements, Annales de Geophysique, Vol. 23, No. 1, pp. 35–39, 1967.
Kumar, K. S. P., and Sridhar, R., On the identification of control systems by the quasilinearization method, IEEE Transactions on Automatic Control, Vol. 9, No. 2, pp. 151–154, 1964.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1982 Plenum Press, New York
About this chapter
Cite this chapter
Kalaba, R., Spingarn, K. (1982). Quasilinearization Method for System Identification. In: Control, Identification, and Input Optimization. Mathematical Concepts and Methods in Science and Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7662-0_6
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7662-0_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-7664-4
Online ISBN: 978-1-4684-7662-0
eBook Packages: Springer Book Archive