Coherent H∞ control for Markovian jump linear quantum systems

Yanan Liu; Daoyi Dong; Ian R. Petersen; Qing Gao; Steven X. Ding; Hidehiro Yonezawa

doi:10.1016/j.ifacol.2020.12.134

Coherent H^∞ control for Markovian jump linear quantum systems

Yanan Liu^*
, Daoyi Dong^*
, Ian R. Petersen
, Qing Gao
, Steven X. Ding
, Hidehiro Yonezawa^*

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

University of New South Wales
Australian Research Council
Australian National University
Beihang University
University of Duisburg-Essen

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The purpose of this paper is to design a coherent feedback controller for a Markovian jump linear quantum system suffering from a fault signal. The control objective is to bound the effect of the disturbance input on the output for the time-varying quantum system. We prove the relation between the H^∞ control problem, the dissipation properties, and the solutions of Riccati differential equations, by which the H^∞ controller of the Markovian jump linear quantum system is given by the solutions of Linear Matrix Inequalities (LMIs).

Original language	English
Pages (from-to)	269-274
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.134
State	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Keywords

Coherent quantum feedback
Fault-tolerant control
H control
Markovian jump linear quantum systems

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10.1016/j.ifacol.2020.12.134

Cite this

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title = "Coherent H∞ control for Markovian jump linear quantum systems",

abstract = "The purpose of this paper is to design a coherent feedback controller for a Markovian jump linear quantum system suffering from a fault signal. The control objective is to bound the effect of the disturbance input on the output for the time-varying quantum system. We prove the relation between the H∞ control problem, the dissipation properties, and the solutions of Riccati differential equations, by which the H∞ controller of the Markovian jump linear quantum system is given by the solutions of Linear Matrix Inequalities (LMIs).",

keywords = "Coherent quantum feedback, Fault-tolerant control, H control, Markovian jump linear quantum systems",

author = "Yanan Liu and Daoyi Dong and Petersen, \{Ian R.\} and Qing Gao and Ding, \{Steven X.\} and Hidehiro Yonezawa",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license; 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

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AU - Liu, Yanan

AU - Dong, Daoyi

AU - Petersen, Ian R.

AU - Gao, Qing

AU - Ding, Steven X.

AU - Yonezawa, Hidehiro

PY - 2020

Y1 - 2020

N2 - The purpose of this paper is to design a coherent feedback controller for a Markovian jump linear quantum system suffering from a fault signal. The control objective is to bound the effect of the disturbance input on the output for the time-varying quantum system. We prove the relation between the H∞ control problem, the dissipation properties, and the solutions of Riccati differential equations, by which the H∞ controller of the Markovian jump linear quantum system is given by the solutions of Linear Matrix Inequalities (LMIs).

AB - The purpose of this paper is to design a coherent feedback controller for a Markovian jump linear quantum system suffering from a fault signal. The control objective is to bound the effect of the disturbance input on the output for the time-varying quantum system. We prove the relation between the H∞ control problem, the dissipation properties, and the solutions of Riccati differential equations, by which the H∞ controller of the Markovian jump linear quantum system is given by the solutions of Linear Matrix Inequalities (LMIs).

KW - Coherent quantum feedback

KW - Fault-tolerant control

KW - H control

KW - Markovian jump linear quantum systems

UR - https://www.scopus.com/pages/publications/85105072543

U2 - 10.1016/j.ifacol.2020.12.134

DO - 10.1016/j.ifacol.2020.12.134

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SN - 2405-8971

VL - 53

SP - 269

EP - 274

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Coherent H^∞ control for Markovian jump linear quantum systems

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Keywords

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