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This document provides an overview of three pseudospectral methods—Legendre-Gauss (LG), Legendre-Gauss-Radau (LGR), and Legendre-Gauss-Lobatto (LGL)—for solving optimal control problems numerically. It discusses the mathematical foundations, differences in collocation points, and the formulation of state and control approximations using these methods. The paper also includes examples to illustrate the accuracy and features of each scheme.

Author

jiwooseo523

Language

EN