Coherent Robust H-Infinity Control of Uncertain Linear Quantum Stochastic Systems

TL;DR

This paper develops a robust H-infinity control method for uncertain linear quantum systems, ensuring stability and disturbance attenuation despite uncertainties, with demonstrated improved performance over existing methods.

Contribution

It introduces a coherent robust H-infinity control design specifically for uncertain linear quantum systems, addressing stability and performance under Hamiltonian perturbations.

Findings

The proposed method guarantees robust stability and disturbance attenuation.

Application to an example shows improved performance over existing quantum H-infinity control.

The approach effectively handles uncertainties in the system Hamiltonian.

Abstract

This paper considers a class of uncertain linear quantum systems subject to uncertain perturbations in the system Hamiltonian. We present a method to design a coherent robust H-infinity controller so that the closed loop system is robustly stable and achieves a prescribed level of disturbance attenuation with all the admissible uncertainties. An illustrative example shows that for the given system, the method presented in this paper has improved performance over the existing quantum H-infinity control results without considering uncertainty.