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Volume 8 Issue 2
Feb.  2021

IEEE/CAA Journal of Automatica Sinica

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Chengdi Xiang, Shan Ma, Sen Kuang and Daoyi Dong, "Coherent H∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian," IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 432-440, Feb. 2021. doi: 10.1109/JAS.2020.1003429
Citation: Chengdi Xiang, Shan Ma, Sen Kuang and Daoyi Dong, "Coherent H Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian," IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 432-440, Feb. 2021. doi: 10.1109/JAS.2020.1003429

Coherent H Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian

doi: 10.1109/JAS.2020.1003429
Funds:  This work was supported by the National Natural Science Foundation of China (61803132, 61828303, 61803389), the U.S. Office of Naval Research Global (N62909-19-1-2129), and the Australian Research’s Discovery Projects Funding Scheme under Project DP190101566
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  • This work conducts robust H analysis for a class of quantum systems subject to perturbations in the interaction Hamiltonian. A necessary and sufficient condition for the robustly strict bounded real property of this type of uncertain quantum system is proposed. This paper focuses on the study of coherent robust H controller design for quantum systems with uncertainties in the interaction Hamiltonian. The desired controller is connected with the uncertain quantum system through direct and indirect couplings. A necessary and sufficient condition is provided to build a connection between the robust H control problem and the scaled H control problem. A numerical procedure is provided to obtain coefficients of a coherent controller. An example is presented to illustrate the controller design method.

     

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    Highlights

    • This paper considers a class of quantum systems with uncertainties in the interaction Hamiltonian.
    • A necessary and sufficient condition for the robustly strict bounded real property of this type of uncertain quantum system is proposed.
    • A coherent robust controller design method via direct and indirect couplings is studied for this type of uncertain quantum system.

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