Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria
Abstract
This paper is concerned with a risk-sensitive optimal control problem for a feedback connection of a quantum plant with a measurement-based classical controller. The plant is a multimode open quantum harmonic oscillator driven by a multichannel quantum Wiener process, and the controller is a linear time invariant system governed by a stochastic differential equation. The control objective is to stabilize the closed-loop system and minimize the infinite-horizon asymptotic growth rate of a quadratic-exponential functional (QEF) which penalizes the plant variables and the controller output. We combine a frequency-domain representation of the QEF growth rate, obtained recently, with variational techniques and establish first-order necessary conditions of optimality for the state-space matrices of the controller.
Keywords
Cite
@article{arxiv.1912.11687,
title = {Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria},
author = {Igor G. Vladimirov and Matthew R. James and Ian R. Petersen},
journal= {arXiv preprint arXiv:1912.11687},
year = {2019}
}
Comments
8 pages, 1 figure, submitted to the 21st IFAC World Congress, Berlin, Germany, July 12-17, 2020