Constrained minimum-energy optimal control of the dissipative Bloch equations

被引：10
|
作者：
Stefanatos, Dionisis [1 ]
Li, Jr-Shin [1 ]
机构：
[1] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
来源：
SYSTEMS & CONTROL LETTERS | 2010年 / 59卷 / 10期
基金：
美国国家科学基金会;
关键词：
Maximum principle; Bloch equations; 2-LEVEL QUANTUM-SYSTEMS; RELAXATION;
D O I：
10.1016/j.sysconle.2010.07.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this letter, we apply optimal control theory to design minimum-energy pi/2 and pi pulses for the Bloch system in the presence of relaxation with constrained control amplitude. We consider a commonly encountered case in which the transverse relaxation rate is much larger than the longitudinal one so that the latter can be neglected. Using Pontryagin's maximum principle, we derive optimal feedback laws which are characterized by the number of switches, depending on the control bound and the coordinates of the desired final state. (C) 2010 Elsevier B.V. All rights reserved.
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页码：601 / 607
页数：7
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