Title :
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
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;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945819
