Optimal band-limited control synthesis via gradient ascent in function space

Friday, July 6, 2018

2:30 p.m.

ISI seminar room 1st floor

Dr. Dennis Lucarelli Principal Researcher at the Johns Hopkins Applied Physics Lab, Baltimora, US

A number of mechanical control systems can be modeled using matrix Lie groups. Most notably, finite dimensional quantum mechanical systems, as encountered in quantum information science, can be modeled as controls systems evolving on unitary groups. In this talk, we will introduce Lie group models and show a simple, yet apparently new, functional gradient of the controlled dynamics that can be used to synthesize optimal controls fields driving an arbitrary initial state to a desired final state. By expressing the controls in a functional expansion using the so-called Slepian sequences, we restrict the bandwidth (or slew rate) of the control to construct physically realizable controls. Examples from quantum information science and satellite attitude motion planning will be presented.