Coherent H∞ control for Markovian jump linear quantum systems. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Liu, Yanan; Dong, Daoyi; Petersen, Ian R.; Gao, Qing; Ding, Steven X.; Yonezawa, Hidehiro
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 269
• Page End: 274
• Publication Date: 2020
• Subjects: Coherent quantum feedback -- H∞ control -- fault-tolerant control -- Markovian jump linear quantum systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.134
• Languages: English
• ISSNs: 2405-8963

Abstract

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).