Liu, Yanan; Dong, Daoyi; Petersen, Ian R.; Gao, Qing; Ding, Steven X.; Yonezawa, Hidehiro:
Coherent H∞ control for Markovian jump linear quantum systems
In: IFAC-PapersOnLine, Vol. 53 (2020), No. 2, pp. 269 - 274
2020article/chapter in journalOA Platinum
Electrical Engineering and Information TechnologyFaculty of Engineering » Engineering and Information Technology » Automatic Control and Complex Systems
Related: 1 publication(s)
Title in English:
Coherent H∞ control for Markovian jump linear quantum systems
Author:
Liu, Yanan
;
Dong, Daoyi
;
Petersen, Ian R.
;
Gao, Qing
;
Ding, Steven X.UDE
GND
134302427
LSF ID
2347
ORCID
0000-0002-5149-5918ORCID iD
Other
connected with university
;
Yonezawa, Hidehiro
Year of publication:
2020
Open Access?:
OA Platinum
Scopus ID
Language of text:
English
Keyword, Topic:
Coherent quantum feedback ; Fault-tolerant control ; H∞ control ; Markovian jump linear quantum systems

Abstract in English:

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).