Coherent H∞ control for a class of annihilation operator linear quantum systems

Aline I. Maalouf; Ian R. Petersen

doi:10.1109/TAC.2010.2052942

Coherent H^∞ control for a class of annihilation operator linear quantum systems

Aline I. Maalouf, Ian R. Petersen

Research output: Contribution to journal › Article › peer-review

77 Citations (Scopus)

Abstract

This paper considers a coherent H^∞ control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a solution to the H^∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations. In addition, the question of physical realizability of the resulting quantum controllers is related to a bounded real property.

Original language	English
Article number	5508361
Pages (from-to)	309-319
Number of pages	11
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	2
DOIs	https://doi.org/10.1109/TAC.2010.2052942
Publication status	Published - Feb 2011
Externally published	Yes

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abstract = "This paper considers a coherent H∞ control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a solution to the H∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations. In addition, the question of physical realizability of the resulting quantum controllers is related to a bounded real property.",

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KW - quantum controller realization

KW - quantum feedback control

KW - quantum optics

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Coherent H^∞ control for a class of annihilation operator linear quantum systems

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