Solving of Bang-Bang Control Problem Based on Sigmoid Function

被引：0
|
作者：
Zhao, Ruiyan [1 ]
Li, Shurong [1 ]
Zhang, Xiaodong [1 ]
机构：
[1] China Univ Petr, Coll Informat & Control Engn, Dongying 257061, Peoples R China
来源：
2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3 | 2010年
关键词：
bang-bang control; sigmoid function; Switching times; Nonlinear programming;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new control method for bang-bang control is proposed, which use a sigmoid function with time node parameter to approximate the control variables. The number of switchings is assumed to be given, and the switching time nodes are considered to be the parameters of the optimal control problems. The derivatives of the performance to switching time nodes can be obtained by differential chain rule and then the gradient based optimization methods can be used to deal with the nonlinear programming problem transformed from the optimal control problem. Finally, the proposed method is applied to some examples to demonstrate the effectiveness of the method.
引用
收藏
页码：1794 / 1797
页数：4
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