Robust observer for uncertain linear quantum systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In the theory of quantum dynamical filtering, one of the biggest issues is that the underlying system dynamics represented by a quantum stochastic differential equation must be known exactly in order that the corresponding filter provides an optimal performance; however, this assumption is in general unrealistic. Therefore, in this paper we consider a class of linear quantum systems subject to time-varying norm-bounded parametric uncertainty and then propose a robust observer such that the variance of the estimation error is guaranteed to be within a certain bound. Although the proposed observer is different from the optimal filter in the sense of the least mean square error, it is demonstrated in a typical quantum control problem that the observer is fairly robust against a parametric uncertainty even when the other estimators, the optimal Kalman filter and the risk-sensitive observer, fail in the estimation due to the uncertain perturbation.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages3138-3143
Number of pages6
Publication statusPublished - 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 2006 Dec 132006 Dec 15

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period06/12/1306/12/15

Fingerprint

Kalman filters
Mean square error
Error analysis
Dynamical systems
Differential equations
Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

Cite this

Yamamoto, N. (2006). Robust observer for uncertain linear quantum systems. In Proceedings of the IEEE Conference on Decision and Control (pp. 3138-3143). [4177479]

Robust observer for uncertain linear quantum systems. / Yamamoto, Naoki.

Proceedings of the IEEE Conference on Decision and Control. 2006. p. 3138-3143 4177479.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yamamoto, N 2006, Robust observer for uncertain linear quantum systems. in Proceedings of the IEEE Conference on Decision and Control., 4177479, pp. 3138-3143, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 06/12/13.
Yamamoto N. Robust observer for uncertain linear quantum systems. In Proceedings of the IEEE Conference on Decision and Control. 2006. p. 3138-3143. 4177479
Yamamoto, Naoki. / Robust observer for uncertain linear quantum systems. Proceedings of the IEEE Conference on Decision and Control. 2006. pp. 3138-3143
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