Seminar| Institute of Mathematical Sciences
Speaker: Changjun Yu, Professor and Vice Head of The School of Sciences, Department of Mathematics, Shanghai University
Abstract: Local collocation and control parameterization are popular computational methods for solving optimal control problems. The local collocation method works by discretizing both the state and control variables, whereas control parameterization method involves only discretizing the control variable. Despite the extensive development of both approaches over decades, to date, a comprehensive comparison between the two methods hasn’t been conducted. In this paper, we establish a set of valid comparison criteria to be used for the comparison of these two approaches. Then, the numerical mechanisms behind both methods are examined and analyzed according to these criteria. Five examples are solved, and the effectiveness of these two methods is compared based on the numerical solutions obtained.