Decentralized coherent robust H∞ control of a class of large-scale uncertain linear complex quantum stochastic systems

Hendra G. Harno; Ian R. Petersen

doi:10.1109/CCA.2010.5611084

Decentralized coherent robust H^∞ control of a class of large-scale uncertain linear complex quantum stochastic systems

Hendra G. Harno, Ian R. Petersen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

This paper presents a procedure to synthesize a decentralized coherent robust H^∞ quantum controller for a class of large-scale uncertain linear complex quantum stochastic systems with a norm-bounded unstructured uncertainty. The H^∞ control objective is to obtain a strictly bounded real closed loop uncertain quantum system with a specified disturbance attenuation level g > 0. The main idea is that instead of treating the interconnections between quantum subsystems as uncertainties, we consider the neglected off-diagonal blocks of the transfer function matrix of the corresponding nondecentralized quantum controller as additional uncertainties. The resulting decentralized coherent quantum controller is required to satisfy a physical realizability condition.

Original language	English
Title of host publication	2010 IEEE International Conference on Control Applications, CCA 2010
Pages	1969-1974
Number of pages	6
DOIs	https://doi.org/10.1109/CCA.2010.5611084
Publication status	Published - 2010
Externally published	Yes
Event	2010 IEEE International Conference on Control Applications, CCA 2010 - Yokohama, Japan Duration: 8 Sept 2010 → 10 Sept 2010

Publication series

Name	Proceedings of the IEEE International Conference on Control Applications

Conference

Conference	2010 IEEE International Conference on Control Applications, CCA 2010
Country/Territory	Japan
City	Yokohama
Period	8/09/10 → 10/09/10

Access to Document

10.1109/CCA.2010.5611084

Cite this

Harno, H. G., & Petersen, I. R. (2010). Decentralized coherent robust H^∞ control of a class of large-scale uncertain linear complex quantum stochastic systems. In 2010 IEEE International Conference on Control Applications, CCA 2010 (pp. 1969-1974). Article 5611084 (Proceedings of the IEEE International Conference on Control Applications). https://doi.org/10.1109/CCA.2010.5611084

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title = "Decentralized coherent robust H∞ control of a class of large-scale uncertain linear complex quantum stochastic systems",

abstract = "This paper presents a procedure to synthesize a decentralized coherent robust H∞ quantum controller for a class of large-scale uncertain linear complex quantum stochastic systems with a norm-bounded unstructured uncertainty. The H∞ control objective is to obtain a strictly bounded real closed loop uncertain quantum system with a specified disturbance attenuation level g > 0. The main idea is that instead of treating the interconnections between quantum subsystems as uncertainties, we consider the neglected off-diagonal blocks of the transfer function matrix of the corresponding nondecentralized quantum controller as additional uncertainties. The resulting decentralized coherent quantum controller is required to satisfy a physical realizability condition.",

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Harno, HG & Petersen, IR 2010, Decentralized coherent robust H^∞ control of a class of large-scale uncertain linear complex quantum stochastic systems. in 2010 IEEE International Conference on Control Applications, CCA 2010., 5611084, Proceedings of the IEEE International Conference on Control Applications, pp. 1969-1974, 2010 IEEE International Conference on Control Applications, CCA 2010, Yokohama, Japan, 8/09/10. https://doi.org/10.1109/CCA.2010.5611084

Decentralized coherent robust H^∞ control of a class of large-scale uncertain linear complex quantum stochastic systems. / Harno, Hendra G.; Petersen, Ian R.
2010 IEEE International Conference on Control Applications, CCA 2010. 2010. p. 1969-1974 5611084 (Proceedings of the IEEE International Conference on Control Applications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper presents a procedure to synthesize a decentralized coherent robust H∞ quantum controller for a class of large-scale uncertain linear complex quantum stochastic systems with a norm-bounded unstructured uncertainty. The H∞ control objective is to obtain a strictly bounded real closed loop uncertain quantum system with a specified disturbance attenuation level g > 0. The main idea is that instead of treating the interconnections between quantum subsystems as uncertainties, we consider the neglected off-diagonal blocks of the transfer function matrix of the corresponding nondecentralized quantum controller as additional uncertainties. The resulting decentralized coherent quantum controller is required to satisfy a physical realizability condition.

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