Stabilization over power-constrained parallel Gaussian channels
Stabilization over power-constrained parallel Gaussian channels
This technical note is concerned with state-feedback stabilization of multi-input systems over parallel Gaussian channels subject to a total power constraint. Both continuous-time and discrete-time systems are treated under the framework of H2 control, and necessary/sufficient conditions for stabilizability are established in terms of inequalities involving unstable plant poles, transmitted power, and noise variances. These results are further used to clarify the relationship between channel capacity and stabilizability. Compared to single-input systems, a range of technical issues arise. In particular, in the multi-input case, the optimal controller has a separation structure, and the lower bound on channel capacity for some discrete-time systems is unachievable by linear time-invariant (LTI) encoders/decoders
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Middleton, Richard H.
47c2c129-f944-4d76-ba77-9a32b97d1066
July 2011
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Middleton, Richard H.
47c2c129-f944-4d76-ba77-9a32b97d1066
Shu, Zhan and Middleton, Richard H.
(2011)
Stabilization over power-constrained parallel Gaussian channels.
IEEE Transactions on Automatic Control, 56 (7).
(doi:10.1109/TAC.2011.2135270).
Abstract
This technical note is concerned with state-feedback stabilization of multi-input systems over parallel Gaussian channels subject to a total power constraint. Both continuous-time and discrete-time systems are treated under the framework of H2 control, and necessary/sufficient conditions for stabilizability are established in terms of inequalities involving unstable plant poles, transmitted power, and noise variances. These results are further used to clarify the relationship between channel capacity and stabilizability. Compared to single-input systems, a range of technical issues arise. In particular, in the multi-input case, the optimal controller has a separation structure, and the lower bound on channel capacity for some discrete-time systems is unachievable by linear time-invariant (LTI) encoders/decoders
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Published date: July 2011
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Local EPrints ID: 199597
URI: http://eprints.soton.ac.uk/id/eprint/199597
ISSN: 0018-9286
PURE UUID: ee3ece5e-e6d1-446b-b4d9-77777e3be80c
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Date deposited: 19 Oct 2011 10:19
Last modified: 14 Mar 2024 17:50
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Author:
Zhan Shu
Author:
Richard H. Middleton
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