The paper presents the optimal nonlinear filter for quadratic state and linear observation equations confused with white Gaussian disturbances. The general scheme for obtaining the optimal filter in case of polynomial state and linear observation equations is announced.
On Optimal Filtering for Polynomial System States
Contributed by the Dynamic Systems and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division, October 2000; final revision, September 2002. Associate Editor: S. D. Fassois.
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Basin , M. V. (March 10, 2003). "On Optimal Filtering for Polynomial System States ." ASME. J. Dyn. Sys., Meas., Control. March 2003; 125(1): 123–125. https://doi.org/10.1115/1.1543174
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