Title :
Optimal regulator for third degree polynomial systems
Author :
Basin, Michael V. ; Aracelia, Maria ; Garcia, Alcorta
Author_Institution :
Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, Mexico
Abstract :
This paper 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 regulator for third degree polynomial systems given in this paper and the best regulator existing for the linearized model.
Keywords :
duality (mathematics); nonlinear control systems; optimal control; polynomials; duality; linear control input; linearized model; nonlinear automotive system; nonlinear system state; optimal control; optimal regulator; polynomial equation; quadratic cost criterion; third-degree polynomial systems; Automotive engineering; Control systems; Cost function; Nonlinear control systems; Nonlinear equations; Nonlinear filters; Nonlinear systems; Optimal control; Polynomials; Regulators;
Conference_Titel :
Control Applications, 2002. Proceedings of the 2002 International Conference on
Print_ISBN :
0-7803-7386-3
DOI :
10.1109/CCA.2002.1040256
