Title :
On-off minimum-time control with limited fuel usage: near global optima via linear programming
Author :
Driessen, Brian J.
Author_Institution :
Sandia Nat. Labs., Albuquerque, NM, USA
Abstract :
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
Keywords :
fuel optimal control; linear programming; linear systems; on-off control; time optimal control; flexible system; fuel usage; linear programming; linear time invariant systems; minimum-time control; on-off control; simplex method; Argon; Control systems; Equations; Fuels; History; Laboratories; Linear programming; Linear systems; Phase detection; Switches;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876948