Feedback Tracking Control of a Class of Non-Markovian Quantum Systems

Shibei Xue; Ian Petersen

doi:10.1109/WCICA.2016.7578293

Feedback Tracking Control of a Class of Non-Markovian Quantum Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we propose a feedback tracking control scheme to reject Lorentzian noise in a linear non-Markovian quantum system. This non-Markovian quantum system is modelled as an augmented linear Markovian quantum system where a principal system represents the plant and an ancillary system represents the internal mode of the non-Markovian environment for generating Lorentzian noise. Based on this augmented system model, a whitening quantum filter can be constructed for continuously monitoring the dynamical variables of the principal system. To reject Lorentzian noise, a linear quadratic Gaussian (LQG) controller, using the estimate of the whitening filter and the dynamical variables of a reference system, can be designed to drive the principal system to track the reference system.

Original language	English
Title of host publication	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Place of Publication	Piscataway, New Jersey, US
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1170-1173pp
Edition	Peer reviewed
ISBN (Print)	9781467384148
DOIs	https://doi.org/10.1109/WCICA.2016.7578293
Publication status	Published - 2016
Event	12th World Congress on Intelligent Control and Automation, WCICA 2016 - Guilin, China Duration: 1 Jan 2016 → …

Conference

Conference	12th World Congress on Intelligent Control and Automation, WCICA 2016
Period	1/01/16 → …
Other	June 12-15 2016

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10.1109/WCICA.2016.7578293

Cite this

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title = "Feedback Tracking Control of a Class of Non-Markovian Quantum Systems",

abstract = "In this paper, we propose a feedback tracking control scheme to reject Lorentzian noise in a linear non-Markovian quantum system. This non-Markovian quantum system is modelled as an augmented linear Markovian quantum system where a principal system represents the plant and an ancillary system represents the internal mode of the non-Markovian environment for generating Lorentzian noise. Based on this augmented system model, a whitening quantum filter can be constructed for continuously monitoring the dynamical variables of the principal system. To reject Lorentzian noise, a linear quadratic Gaussian (LQG) controller, using the estimate of the whitening filter and the dynamical variables of a reference system, can be designed to drive the principal system to track the reference system.",

author = "Shibei Xue and Ian Petersen",

year = "2016",

doi = "10.1109/WCICA.2016.7578293",

language = "English",

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pages = "1170--1173pp",

booktitle = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

edition = "Peer reviewed",

note = "12th World Congress on Intelligent Control and Automation, WCICA 2016 ; Conference date: 01-01-2016",

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Xue, S & Petersen, I 2016, Feedback Tracking Control of a Class of Non-Markovian Quantum Systems. in Proceedings of the World Congress on Intelligent Control and Automation (WCICA). Peer reviewed edn, Institute of Electrical and Electronics Engineers Inc., Piscataway, New Jersey, US, pp. 1170-1173pp, 12th World Congress on Intelligent Control and Automation, WCICA 2016, 1/01/16. https://doi.org/10.1109/WCICA.2016.7578293

Feedback Tracking Control of a Class of Non-Markovian Quantum Systems. / Xue, Shibei; Petersen, Ian.
Proceedings of the World Congress on Intelligent Control and Automation (WCICA). Peer reviewed. ed. Piscataway, New Jersey, US: Institute of Electrical and Electronics Engineers Inc., 2016. p. 1170-1173pp.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In this paper, we propose a feedback tracking control scheme to reject Lorentzian noise in a linear non-Markovian quantum system. This non-Markovian quantum system is modelled as an augmented linear Markovian quantum system where a principal system represents the plant and an ancillary system represents the internal mode of the non-Markovian environment for generating Lorentzian noise. Based on this augmented system model, a whitening quantum filter can be constructed for continuously monitoring the dynamical variables of the principal system. To reject Lorentzian noise, a linear quadratic Gaussian (LQG) controller, using the estimate of the whitening filter and the dynamical variables of a reference system, can be designed to drive the principal system to track the reference system.

AB - In this paper, we propose a feedback tracking control scheme to reject Lorentzian noise in a linear non-Markovian quantum system. This non-Markovian quantum system is modelled as an augmented linear Markovian quantum system where a principal system represents the plant and an ancillary system represents the internal mode of the non-Markovian environment for generating Lorentzian noise. Based on this augmented system model, a whitening quantum filter can be constructed for continuously monitoring the dynamical variables of the principal system. To reject Lorentzian noise, a linear quadratic Gaussian (LQG) controller, using the estimate of the whitening filter and the dynamical variables of a reference system, can be designed to drive the principal system to track the reference system.

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M3 - Conference contribution

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BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

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Feedback Tracking Control of a Class of Non-Markovian Quantum Systems

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