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On-off minimum-time control with limited fuel usage: near global optima via linear programming

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1 Author(s)
Driessen, B.J. ; Sandia Nat. Labs., Albuquerque, NM, USA

A method for finding a global optimum to the on-off minimum-time control problem with limited fuel usage is presented. Each control can take on only three possible values: maximum, zero or minimum. The simplex method for linear systems naturally yields nearly such a solution for the reformulation presented because it always produces an extreme point solution to the linear program. Numerical examples for the benchmark linear flexible system are presented

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American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

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