Title :
Optimal control for third degree polynomial systems and its automotive application
Author :
Basin, Michael V. ; Garcia, Ma Aracelia Alcorta
Author_Institution :
Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo, Leon, Mexico
Abstract :
Presents the optimal regulator for a nonlinear system state given by a polynomial equation of degree 3 with linear control input and quadratic cost criterion. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for a polynomial system state of degree 3 over linear observations. The obtained results are applied to solution of the optimal control problem for a nonlinear automotive system. Simulation results are compared for the optimal polynomial regulator given in the paper and the linear optimal regulator.
Keywords :
automobiles; duality (mathematics); filtering theory; kinematics; nonlinear control systems; optimal control; polynomials; duality principle; linear control input; linear observations; linear optimal regulator; nonlinear automotive system; nonlinear system; optimal control; quadratic cost criterion; third degree polynomial systems; Automotive applications; Control systems; Cost function; Nonlinear control systems; Nonlinear equations; Nonlinear filters; Nonlinear systems; Optimal control; Polynomials; Regulators;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184774
