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Coherent H<sup>∞</sup> control for Markovian jump linear quantum systems

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Date

2020

Authors

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

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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).

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Keywords

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

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https://hdl.handle.net/1885/733812358

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ANU Research Publications

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IFAC-PapersOnLine

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Conference paper

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DOI

10.1016/j.ifacol.2020.12.134

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