Coherent <i>H</i><sup>∞</sup> Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian

doi:10.1109/JAS.2020.1003429

CASIA OpenIR > 学术期刊 > IEEE/CAA Journal of Automatica Sinica

	Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian
	Chengdi Xiang; Shan Ma; Sen Kuang; Daoyi Dong
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2021
卷号	8 期号:2 页码:432-440
摘要	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.
关键词	Coherent feedback control robust control uncertain quantum system
DOI	10.1109/JAS.2020.1003429
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/43922
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Chengdi Xiang,Shan Ma,Sen Kuang,et al. Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian[J]. IEEE/CAA Journal of Automatica Sinica,2021,8(2):432-440.
APA	Chengdi Xiang,Shan Ma,Sen Kuang,&Daoyi Dong.(2021).Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian.IEEE/CAA Journal of Automatica Sinica,8(2),432-440.
MLA	Chengdi Xiang,et al."Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian".IEEE/CAA Journal of Automatica Sinica 8.2(2021):432-440.

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