The algorithm of optimal linearization of non-linear state equation

Jaroslaw Forenc

doi:10.1117/12.784848

28 December 2007 The algorithm of optimal linearization of non-linear state equation

Jaroslaw Forenc

Proceedings Volume 6937, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007; 693744 (2007) https://doi.org/10.1117/12.784848
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007, 2007, Wilga, Poland

Abstract

The linearization of non-linear state equation is based on replacement of non-linear equation by its linear approximation. The main aim of linearization is to make the linear approach a good approximation of the non-linear equation in the whole state space and for time t approaching infinity. The optimal linearization method (OLM) is based on such a choice of linear approximation matrix that the mean-square error of the difference between the non-linear model and its linear approximation is minimal. In the paper the algorithm of OLM method and its implementation in computer program will be presented. The program computes elements of optimal matrices on the basis of non-linear state equation and its linear approximation.

Citation Download Citation

Jaroslaw Forenc "The algorithm of optimal linearization of non-linear state equation", Proc. SPIE 6937, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007, 693744 (28 December 2007); https://doi.org/10.1117/12.784848

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