A flatness based algorithm for optimal periodic control problems

Author

Varigonda, Subbarao ; Georgiou, Tryphon T. ; Daoutidis, Prodromos

Author_Institution

Dept. of Chem. Eng. & Mater. Sci., Minnesota Univ., Minneapolis, MN, USA

Volume

2

fYear

2001

fDate

2001

Firstpage

831

Abstract

We present an algorithm for the efficient solution of optimal periodic control (OPC) problems using a differential flatness approach. Existing methods for OPC problems involve repeated integration of an ODE system to satisfy periodicy and have severe stability and/or accuracy problems. However, when the underlying dynamics is differentially flat, the differential equations as well as the periodic boundary conditions can be eliminated and the OPC problem can be reformulated as a nonlinear programming problem which is easier to solve. The algorithm is illustrated with two examples

Keywords

differential equations; minimisation; nonlinear programming; optimal control; periodic control; differential equations; dynamic optimization problems; flatness based algorithm; necessary and sufficient conditions; nonlinear programming problem; optimal periodic control problems; periodic boundary conditions; piecewise linear basis functions; semi-infinite optimization problem; underlying dynamics; Boundary conditions; Chemical engineering; Control systems; Differential equations; Nonlinear dynamical systems; Optimal control; Optimization methods; Stability; Steady-state; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.945819

Filename

945819