Computational method for time-optimal switching control

Computational method for time-optimal switching control
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DOI:
10.1023/a:1023600422807
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发表时间:
2003-04-01
影响因子:
1.9
通讯作者:
Noakes, JL
Noakes, JL
中科院分区:
数学3区
文献类型:
--
作者:
Kaya, CY;Noakes, JL

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An efficient algorithm, called the time-optimal switching (TOS) algorithm, is proposed for the time-optimal switching control of nonlinear systems with a single control input. The problem is formulated in the arc times space, arc times being the durations of the arcs. A feasible switching control, or as a special case bang-bang control, is found using the STC method previously developed by the authors to get from an initial point to a target point with a given number of switchings. Then, by means of constrained optimization techniques, the cost being considered as the summation of the arc times, a minimum-time switching control solution is obtained. Example applications of the TOS algorithm involving second-order and third-order systems are presented. Comparisons are made with a well-known general optimal control software package to demonstrate the efficiency of the algorithm.