TY - JOUR
T1 - A flatness based algorithm for optimal periodic control problems
AU - Varigonda, Subbarao
AU - Georgiou, Tryphon T.
AU - Daoutidis, Prodromos
PY - 2001/6
Y1 - 2001/6
N2 - In this note, 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.
AB - In this note, 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.
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U2 - 10.1109/ACC.2001.945819
DO - 10.1109/ACC.2001.945819
M3 - Article
AN - SCOPUS:0034854909
SN - 0743-1619
VL - 2
SP - 831
EP - 836
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
ER -