Optimal Control For Third Degree Polynomial Systems And Its Automotive Application
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4(2002)
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 polynomial regulator given in this paper and the linear optimal regulator.
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Key words
nonlinear system,optimal control,polynomials,linear optimization,duality mathematics,kinematics
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