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IEEE Access

Robust Stability Control for a Class of Uncertain Quantum Systems Through Direct and Indirect Couplings

Chengdi Xiang

Published Jan 1, 2020• 1 citation
Publisher

Abstract

In this paper, a class of uncertain quantum systems with uncertainties in the interaction Hamiltonian is connected with a coherent controller through direct and indirect couplings. The aim of the paper is to design a robust coherent stability controller to make the closed-loop system robustly mean square stable. A sufficient and necessary condition is presented to build a connection between robust control design with uncertain parameters and scaled control design without uncertain parameters. This condition is also considered for a special class of linear passive quantum systems. A numerical procedure is proposed to obtain explicit expression for parameters of the desired coherent controller using linear matrix inequality, multi-step optimization methods and physical realizability conditions.

DOI
10.1109/access.2020.3019513

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