Parameterization of stabilizing linear coherent quantum controllers

Arash Kh Sichani; Ian R. Petersen; Igor G. Vladimirov

doi:10.1109/ASCC.2015.7244464

Parameterization of stabilizing linear coherent quantum controllers

Arash Kh Sichani, Ian R. Petersen, Igor G. Vladimirov

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

4 Citations (Scopus)

Abstract

This paper is concerned with application of the classical Youla-Kučera parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent open quantum harmonic oscillators modelled by linear quantum stochastic differential equations. The interconnections between the plant and the controller are assumed to be established through quantum bosonic fields. In this framework, conditions for the stabilization of a given linear quantum plant via linear coherent quantum feedback are addressed using a stable factorization approach. The class of stabilizing quantum controllers is parameterized in the frequency domain. Also, this approach is used in order to formulate coherent quantum weighted H₂ and H∞ control problems for linear quantum systems in the frequency domain. Finally, a projected gradient descent scheme is proposed to solve the coherent quantum weighted H₂ control problem.

Original language	English
Title of host publication	2015 10th Asian Control Conference
Subtitle of host publication	Emerging Control Techniques for a Sustainable World, ASCC 2015
Editors	Hazlina Selamat, Hafiz Rashidi Haruna Ramli, Ahmad Athif Mohd Faudzi, Ribhan Zafira Abdul Rahman, Asnor Juraiza Ishak, Azura Che Soh, Siti Anom Ahmad
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479978625
DOIs	https://doi.org/10.1109/ASCC.2015.7244464
Publication status	Published - 8 Sept 2015
Externally published	Yes
Event	10th Asian Control Conference, ASCC 2015 - Kota Kinabalu, Malaysia Duration: 31 May 2015 → 3 Jun 2015

Publication series

Name	2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

Conference

Conference	10th Asian Control Conference, ASCC 2015
Country/Territory	Malaysia
City	Kota Kinabalu
Period	31/05/15 → 3/06/15

Access to Document

10.1109/ASCC.2015.7244464

Cite this

Sichani, A. K., Petersen, I. R., & Vladimirov, I. G. (2015). Parameterization of stabilizing linear coherent quantum controllers. In H. Selamat, H. R. H. Ramli, A. A. M. Faudzi, R. Z. A. Rahman, A. J. Ishak, A. C. Soh, & S. A. Ahmad (Eds.), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015 Article 7244464 (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ASCC.2015.7244464

Sichani, Arash Kh ; Petersen, Ian R. ; Vladimirov, Igor G. / Parameterization of stabilizing linear coherent quantum controllers. 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. editor / Hazlina Selamat ; Hafiz Rashidi Haruna Ramli ; Ahmad Athif Mohd Faudzi ; Ribhan Zafira Abdul Rahman ; Asnor Juraiza Ishak ; Azura Che Soh ; Siti Anom Ahmad. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015).

@inproceedings{2adf4db754ef4dd1b089723557cd5e90,

title = "Parameterization of stabilizing linear coherent quantum controllers",

abstract = "This paper is concerned with application of the classical Youla-Ku{\v c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent open quantum harmonic oscillators modelled by linear quantum stochastic differential equations. The interconnections between the plant and the controller are assumed to be established through quantum bosonic fields. In this framework, conditions for the stabilization of a given linear quantum plant via linear coherent quantum feedback are addressed using a stable factorization approach. The class of stabilizing quantum controllers is parameterized in the frequency domain. Also, this approach is used in order to formulate coherent quantum weighted H2 and H∞ control problems for linear quantum systems in the frequency domain. Finally, a projected gradient descent scheme is proposed to solve the coherent quantum weighted H2 control problem.",

author = "Sichani, {Arash Kh} and Petersen, {Ian R.} and Vladimirov, {Igor G.}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 10th Asian Control Conference, ASCC 2015 ; Conference date: 31-05-2015 Through 03-06-2015",

year = "2015",

month = sep,

day = "8",

doi = "10.1109/ASCC.2015.7244464",

language = "English",

series = "2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015",

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

editor = "Hazlina Selamat and Ramli, {Hafiz Rashidi Haruna} and Faudzi, {Ahmad Athif Mohd} and Rahman, {Ribhan Zafira Abdul} and Ishak, {Asnor Juraiza} and Soh, {Azura Che} and Ahmad, {Siti Anom}",

booktitle = "2015 10th Asian Control Conference",

address = "United States",

}

Sichani, AK, Petersen, IR & Vladimirov, IG 2015, Parameterization of stabilizing linear coherent quantum controllers. in H Selamat, HRH Ramli, AAM Faudzi, RZA Rahman, AJ Ishak, AC Soh & SA Ahmad (eds), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015., 7244464, 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015, Institute of Electrical and Electronics Engineers Inc., 10th Asian Control Conference, ASCC 2015, Kota Kinabalu, Malaysia, 31/05/15. https://doi.org/10.1109/ASCC.2015.7244464

Parameterization of stabilizing linear coherent quantum controllers. / Sichani, Arash Kh; Petersen, Ian R.; Vladimirov, Igor G.
2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. ed. / Hazlina Selamat; Hafiz Rashidi Haruna Ramli; Ahmad Athif Mohd Faudzi; Ribhan Zafira Abdul Rahman; Asnor Juraiza Ishak; Azura Che Soh; Siti Anom Ahmad. Institute of Electrical and Electronics Engineers Inc., 2015. 7244464 (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015).

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

TY - GEN

T1 - Parameterization of stabilizing linear coherent quantum controllers

AU - Sichani, Arash Kh

AU - Petersen, Ian R.

AU - Vladimirov, Igor G.

PY - 2015/9/8

Y1 - 2015/9/8

N2 - This paper is concerned with application of the classical Youla-Kučera parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent open quantum harmonic oscillators modelled by linear quantum stochastic differential equations. The interconnections between the plant and the controller are assumed to be established through quantum bosonic fields. In this framework, conditions for the stabilization of a given linear quantum plant via linear coherent quantum feedback are addressed using a stable factorization approach. The class of stabilizing quantum controllers is parameterized in the frequency domain. Also, this approach is used in order to formulate coherent quantum weighted H2 and H∞ control problems for linear quantum systems in the frequency domain. Finally, a projected gradient descent scheme is proposed to solve the coherent quantum weighted H2 control problem.

AB - This paper is concerned with application of the classical Youla-Kučera parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent open quantum harmonic oscillators modelled by linear quantum stochastic differential equations. The interconnections between the plant and the controller are assumed to be established through quantum bosonic fields. In this framework, conditions for the stabilization of a given linear quantum plant via linear coherent quantum feedback are addressed using a stable factorization approach. The class of stabilizing quantum controllers is parameterized in the frequency domain. Also, this approach is used in order to formulate coherent quantum weighted H2 and H∞ control problems for linear quantum systems in the frequency domain. Finally, a projected gradient descent scheme is proposed to solve the coherent quantum weighted H2 control problem.

UR - http://www.scopus.com/inward/record.url?scp=84957653857&partnerID=8YFLogxK

U2 - 10.1109/ASCC.2015.7244464

DO - 10.1109/ASCC.2015.7244464

M3 - Conference contribution

T3 - 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

BT - 2015 10th Asian Control Conference

A2 - Selamat, Hazlina

A2 - Ramli, Hafiz Rashidi Haruna

A2 - Faudzi, Ahmad Athif Mohd

A2 - Rahman, Ribhan Zafira Abdul

A2 - Ishak, Asnor Juraiza

A2 - Soh, Azura Che

A2 - Ahmad, Siti Anom

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th Asian Control Conference, ASCC 2015

Y2 - 31 May 2015 through 3 June 2015

ER -

Sichani AK, Petersen IR , Vladimirov IG. Parameterization of stabilizing linear coherent quantum controllers. In Selamat H, Ramli HRH, Faudzi AAM, Rahman RZA, Ishak AJ, Soh AC, Ahmad SA, editors, 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. 7244464. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). doi: 10.1109/ASCC.2015.7244464

Parameterization of stabilizing linear coherent quantum controllers

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this