POCP: A package for polynomial optimal control problems

Author

Henrion, Didier ; Lasserre, Jean B. ; Savorgnan, Carlo

Author_Institution

LAAS, Univ. of Toulouse, Toulouse, France

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

1173

Lastpage

1178

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7074564