Abstract
This paper examines the operation of a train on a variable grade profile subject to arbitrary speed restrictions. The purpose of the study is to determine a detailed program for traction and brake applications, which minimizes energy consumption in moving the train along a given route for a given time. Stated in the form of optimal control, this problem is solved by constructing a numerical algorithm which essentially exploits analytical properties of the optimal solution obtained from the maximum principle analysis. Due to its analytical origin, the algorithm has inherent accuracy and adequate quick-operation that are demonstrated in numerical examples.
Original language | English |
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Pages (from-to) | 1257-1266 |
Number of pages | 10 |
Journal | IEEE Transactions on Automatic Control |
Volume | 45 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2000 |