- Title
- Fundamental limitations in control over a communication channel
- Creator
- Rojas, Alejandro J.; Braslavsky, Julio H.; Middleton, Richard H.
- Relation
- Automatica Vol. 44, Issue 12, p. 3147-3151
- Publisher Link
- http://dx.doi.org/10.1016/j.automatica.2008.05.014
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2008
- Description
- Fundamental limitations in feedback control is a well established area of research. In recent years it has been extended to the study of limitations imposed by the consideration of a communication channel in the control loop. Previous results characterised these limitations in terms of a minimal data transmission rate necessary for stabilisation. In this paper a signal-to-noise ratio (SNR) approach is used to obtain a tight condition for the linear time invariant output feedback stabilisation of a continuous-time, unstable, non minimum phase (NMP) plant with time-delay over an additive Gaussian coloured noise communication channel. By working on a linear setting the infimal SNR for stabilisability is defined as the infimal achievable H₂ norm between the channel noise input and the channel signal input. The result gives a guideline in estimating the severity of the fundamental SNR limitation imposed by the plant unstable poles, NMP zeros, time-delay as well as the channel NMP zeros, bandwidth, and channel noise colouring.
- Subject
- fundamental constraints; H₂norm; Signal to noise ratio; networks; Input output stability; systems
- Identifier
- http://hdl.handle.net/1959.13/43538
- Identifier
- uon:5633
- Identifier
- ISSN:0005-1098
- Language
- eng
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