Title :
POCP: A package for polynomial optimal control problems
Author :
Henrion, Didier ; Lasserre, Jean B. ; Savorgnan, Carlo
Author_Institution :
LAAS, Univ. of Toulouse, Toulouse, France
Abstract :
POCP is a new Matlab package running jointly with GloptiPoly 3 and, optionally, YALMIP. It is aimed at nonlinear optimal control problems for which all the problem data are polynomial, and provides an approximation of the optimal value as well as some control policy. Thanks to a user-friendly interface, POCP reformulates such control problems as generalized problems of moments, in turn converted by GloptiPoly 3 into a hierarchy of semidefinite programming problems whose associated sequence of optimal values converges to the optimal value of the polynomial optimal control problem. In this paper we describe the basic features of POCP and illustrate them with some numerical examples.
Keywords :
control engineering computing; mathematical programming; mathematics computing; nonlinear control systems; optimal control; software packages; user interfaces; GloptiPoly 3; Matlab package; POCP; YALMIP; nonlinear optimal control problems; polynomial optimal control problems; semidefinite programming problems; user-friendly interface; Approximation methods; MATLAB; Optimal control; Polynomials; Trajectory; Vectors; computer-aided control system design; optimal control; polynomials; software package;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
