Robust observer for uncertain linear quantum systems
- Creators
- Yamamoto, Naoki
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
Additional Information
© 2006 IEEE. Issue Date: 13-15 Dec. 2006, Date of Current Version: 07 May 2007. The author wishes to thank R. van Handel, L. Bouten, and H. Mabuchi for their helpful comments. This work was supported in part by the Grants-in-Aid for JSPS fellows No. 06693.Additional details
- Eprint ID
- 22526
- DOI
- 10.1109/CDC.2006.377467
- Resolver ID
- CaltechAUTHORS:20110225-142518379
- 06693
- Japan Society for the Promotion of Science (JSPS) Grants in Aid
- Created
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2011-02-25Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
- Series Name
- IEEE Conference on Decision and Control
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 9430523