Robust $H_\infty$ Estimation of Uncertain Linear Quantum Systems
Systems and Control
2017-04-12 v3 Optimization and Control
Quantum Physics
Abstract
We consider classical estimators for a class of physically realizable linear quantum systems. Optimal estimation using a complex Kalman filter for this problem has been previously explored. Here, we study robust estimation for uncertain linear quantum systems. The estimation problem is solved by converting it to a suitably scaled control problem. The solution is obtained in the form of two algebraic Riccati equations. Relevant examples involving dynamic squeezers are presented to illustrate the efficacy of our method.
Keywords
Cite
@article{arxiv.1506.02005,
title = {Robust $H_\infty$ Estimation of Uncertain Linear Quantum Systems},
author = {Shibdas Roy and Ian R. Petersen},
journal= {arXiv preprint arXiv:1506.02005},
year = {2017}
}
Comments
Minor corrections, 14 pages, 3 figures, International Journal of Robust and Nonlinear Control