Robust $H_{\infty }$ Estimation of Uncertain Linear Quantum Systems

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 $H_{\infty }$ estimation for uncertain linear quantum systems. The estimation problem is solved by converting it to a suitably scaled $H_{\infty }$ 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.

Minor corrections, 14 pages, 3 figures, International Journal of Robust and Nonlinear Control

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Cited by in corpus (2)

• Coherent-Classical Estimation for Linear Quantum Systems
• Robust $H_{\infty }$ Coherent-Classical Estimation of Linear Quantum Systems