- Title
- Feedback stabilization over signal-to-noise ratio constrained channels
- Creator
- Braslavsky, Julio H.; Middleton, R. H.; Freudenberg, J. S.
- Relation
- IEEE Transactions on Automatic Control Vol. 52, Issue 8, p. 1391 -1403
- Publisher Link
- http://dx.doi.org/10.1109/TAC.2007.902739
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2007
- Description
- There has recently been significant interest in feedback stabilization problems with communication constraints including constraints on the available data rate. Signal-to-noise ratio (SNR) constraints are one way in which data-rate limits arise, and are the focus of this paper. In both continuous and discrete-time settings, we show that there are limitations on the ability to stabilize an unstable plant over a SNR constrained channel using finite-dimensional linear time invariant (LTI) feedback. In the case of state feedback, or output feedback with a delay-free, minimum phase plant, these limitations in fact match precisely those that might have been inferred by considering the associated ideal Shannon capacity data rate over the same channel. In the case of LTI output feedback, additional limitations are shown to apply if the plant is nonminimum phase. In this case, we show that for a continuous-time nonminimum phase plant, a periodic linear time varying feedback scheme with fast sampling may be used to recover the original SNR requirement at the cost of robustness properties. The proposed framework inherently captures channel noise effects in a simple formulation suited to conventional LTI control performance and robustness analysis, and has potential to handle time delays and bandwidth constraints in a variety of control over communication links problems.
- Subject
- communication channel; signal-to-noise ratio (SNR); control systems; feedback communication; information rates; linear-quadratic-Gaussian control; networked control systems
- Identifier
- http://hdl.handle.net/1959.13/28473
- Identifier
- uon:2141
- Identifier
- ISSN:0018-9286
- Rights
- Copyright © 2007 IEEE. Reprinted from IEEE Transactions on Automatic Control, 52, 8, 1391-1403. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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