Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
752108 | Systems & Control Letters | 2010 | 7 Pages |
Abstract
In this letter, we apply optimal control theory to design minimum-energy π/2π/2 and ππ 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.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Dionisis Stefanatos, Jr-Shin Li,