Fault-tolerant H∞ control for optical parametric oscillators with pumping fluctuations

Date

2022

Authors

Liu, Yanan
Dong, Daoyi
Petersen, Ian
Yonezawa, Hidehiro

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier Ltd

Abstract

Optical Parametric Oscillators (OPOs) have wide applications in quantum optics for generating squeezed states and developing advanced technologies. When the phase or/and the amplitude of the pumping field for an OPO have fluctuations due to fault signals, time-varying uncertainties will be introduced in the dynamic parameters of the system. In this paper, we investigate how to design a fault-tolerant H∞ controller for an OPO with a disturbance input and time-varying uncertainties, which can achieve the required H∞ performance of the quantum system. We apply robust H∞ control theory to a quantum system, and design a passive controller and an active controller based on the solutions to two Riccati equations. The passive controller has a simple structure and is easy to be implemented by using only passive optical components, while the active quantum controller may achieve improved performance. The control performance of the proposed two controllers and one controller that was designed without consideration of system uncertainties is compared by numerical simulations in a specific OPO, and the results show that the designed controllers work effectively for fluctuations in both the phase and amplitude of the pumping field.

Description

Keywords

Coherent H∞ control, Quantum optics, Riccati equations, Fault-tolerant quantum control, Quantum controller

Citation

Source

Automatica

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

CC BY-NC-ND

DOI

10.1016/j.automatica.2022.110236

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