Title :
Optimal polynomial filter of degrees 3 and 4 and its application to an automotive system
Author :
Basin, Michael V. ; Garcia, Ma Aracelia Alcorta
Author_Institution :
Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, Mexico
Abstract :
This paper presents the optimal nonlinear filter for a stochastic system state given by a polynomial equation of degree 3 or 4 and linear observations confused with white Gaussian noises. The obtained filtering equations are applied to solution of the state estimation problem for a nonlinear automotive system. Simulation results are compared for the optimal polynomial filter given in this paper and the linear Kalman-Bucy filter applied to the linearized system
Keywords :
AWGN; Kalman filters; automobiles; nonlinear control systems; nonlinear filters; polynomial approximation; polynomials; state estimation; automotive system; filtering equations; linear Kalman-Bucy filter; linearized system; nonlinear automotive system; optimal nonlinear filter; optimal polynomial filter; polynomial equation; state estimation problem; stochastic system; white Gaussian noises; Automotive engineering; Filtering; Gaussian noise; Nonlinear equations; Nonlinear filters; Nonlinear systems; Polynomials; Riccati equations; State estimation; Stochastic systems;
Conference_Titel :
Control Applications, 2001. (CCA '01). Proceedings of the 2001 IEEE International Conference on
Conference_Location :
Mexico City
Print_ISBN :
0-7803-6733-2
DOI :
10.1109/CCA.2001.973979
