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Robust H ∞ controller design for a class of linear quantum systems with time delay
Author(s) -
Wang Shi,
Gao Qing,
Dong Daoyi
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3577
Subject(s) - quantum , control theory (sociology) , controller (irrigation) , class (philosophy) , quantum system , computer science , convex optimization , stability (learning theory) , control (management) , regular polygon , mathematics , physics , quantum mechanics , geometry , artificial intelligence , machine learning , agronomy , biology
Summary Time delay is frequently encountered in practical quantum feedback control systems with long transmission lines and measurement process. This paper is concerned with measurement‐based feedback H ∞ control for quantum systems with time delays appearing in the feedback loops. A physical model is presented for the quantum time‐delay system described by complex quantum stochastic differential equations. Quantum versions of some fundamental properties, such as dissipativity and stability, are discussed for this model. A numerical procedure is proposed for H ∞ controller synthesis, which can deal with a non‐convex optimization problem arising in the design processes. Copyright © 2016 John Wiley & Sons, Ltd.