- Title
- Effects of time delay on feedback stabilisation over signal-to-noise ratio constrained channels
- Creator
- Braslavsky, Julio H.; Middleton, Richard H.; Freudenberg, James S.
- Relation
- 16th International Federation of Automatic Control (IFAC) World Congress. Proceedings of 16th IFAC World Congress (Prague, Czech Republic 4-8 July, 2005)
- Relation
- http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac2005/Papers/Paper3585.html
- Publisher
- Elsevier Ltd.
- Resource Type
- conference paper
- Date
- 2006
- Description
- The expanding integration of control and communication networks in recent years has generated an increasing interest in control problems with feedback over a communication channel. Significant research activity has concentrated on stabilisation in face of channel effects such as quantisation and data-rate limits. In a recent paper, the authors have studied the problem of feedback stabilisation over a communication channel with a constraint on the admissible signal-to-noise ratio (SNR). It has been shown therein that for a delay-free, linear time-invariant feedback loop, a SNR constraint in the feedback channel imposes fundamental limitations in the ability to achieve closed-loop stability. The present paper extends these results by introducing a time-delay in the loop, and shows that the lowest SNR required for closed-loop stability increases by a factor that may grow exponentially with the time-delay and the unstable open loop poles of the system. This result contributes to the quantification of performance tradeoffs in integrated control and communication environments.
- Subject
- communication channels; signal-to-noise ratio; time delay; LQG control
- Identifier
- http://hdl.handle.net/1959.13/32308
- Identifier
- uon:2989
- Identifier
- ISBN:008045108X
- Language
- eng
- Full Text
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