Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Systems & Control Letters

Static and dynamic coherent robust control for a class of uncertain quantum systems

Chengdi Xiang, Ian R. Petersen, Daoyi Dong

Published May 23, 2020• 8 citations
Publisher
DOI
10.1016/j.sysconle.2020.104702

Related papers

Coherent robust H∞ control of uncertain linear quantum systems with direct and indirect couplings

Chengdi Xiang, Ian R. Petersen, Daoyi Dong

Journal of the Franklin Institute•Sep 5, 2022•4 citations

Robust stability of uncertain quantum systems

�. Petersen, Ugrinovskii, James James

Advances in Computing and Communications•Jan 1, 2012•0 citations

Guaranteed Cost Dynamic Coherent Control for Uncertain Linear Quantum Systems

Chengdi Xiang, Ian R. Petersen, Daoyi Dong

This paper concerns a class of uncertain linear quantum systems subject to quadratic perturbations in the system Hamiltonian. A small gain approach is used to evaluate the performance of the given quantum system. In order to get improved control performance, we propose two methods to design a coherent controller for the system. One is to formulate a static quantum controller by adding a controller Hamiltonian to the given system, and the other is to build a dynamic quantum controller which is directly coupled to the given system. Both controller design methods are given in terms of LMIs and a non-convex equality. Hence, a rank constrained LMI method is used as a numerical procedure. An illustrative example is given to demonstrate the proposed methods and also to make a performance comparison with different controller design methods. Results show that for the same uncertain quantum system, the dynamic quantum controller can offer an improvement in performance over the static quantum controller.

arXiv:1508.02485•Aug 11, 2015•1 citation

Robust and optimal quantum control for some classes of linear quantum systems

pAline I Maaloufp

Journal of Astrophysics & Aerospace Technology•May 21, 2018•0 citations

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

Chengdi Xiang

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.

IEEE Access•Jan 1, 2020•1 citation

Stabilizing control of quantum systems with uncertainties

Bo Bo

Chinese Control Conference (CCC)•Jan 1, 2012•0 citations
This paper concerns a class of uncertain linear quantum systems subject to quadratic perturbations in the system Hamiltonian. A small gain approach is used to evaluate the performance of the given quantum system. In order to get improved control performance, we propose two methods to design a coherent controller for the system. One is to formulate a static quantum controller by adding a controller Hamiltonian to the given system, and the other is to build a dynamic quantum controller which is directly coupled to the given system. Both controller design methods are given in terms of LMIs and a non-convex equality. Hence, a rank constrained LMI method is used as a numerical procedure. An illustrative example is given to demonstrate the proposed methods and also to make a performance comparison with different controller design methods. Results show that for the same uncertain quantum system, the dynamic quantum controller can offer an improvement in performance over the static quantum controller.
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.