Transition-time optimization for switched-mode dynamical systems

被引：235
作者：
Egerstedt, M [1 ]
Wardi, Y [1 ]
Axelsson, H [1 ]
机构：
[1] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 01期
关键词：
gradient-descent algorithms; hybrid systems; optimal control; switched dynamical systems; switching-time control;
D O I：
10.1109/TAC.2005.861711
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This note considers the problem of determining optimal switching times at which mode transitions should occur in multimodal, hybrid systems. It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of the analysis is carried out in the setting of optimization problems involving fixed switching-mode sequences, but a possible extension is pointed out for the case where the switching-mode sequence is a part of the variable. Numerical examples testify to the viability of the proposed approach.
引用
收藏
页码：110 / 115
页数：6
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