- Title
- Input disturbance rejection in channel signal-to-noise ratio constrained feedback control
- Creator
- Rojas, A. J.; Middleton, R. H.; Freudenberg, J. S.; Braslavsky, Julio H.
- Relation
- American Control Conference 2008. Proceedings of the American Control Conference 2008 (Seattle, WA 11-13 June, 2008) p. 3100-3105
- Publisher Link
- http://dx.doi.org/10.1109/ACC.2008.4586969
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2008
- Description
- Communication channels impose a number of obstacles to feedback control. One recent line of work considers the problem of feedback stabilisation subject to a constraint on the channel signal-to-noise ratio (SNR). It has been shown for continuous-time systems that the optimal control problem of achieving the infimal SNR can be formulated as a linear quadratic Gaussian (LQG) control problem with weights chosen as in the loop transfer recovery (LTR) technique. The present paper extends this formulation to: discrete- time systems; communications over channels with memory; and input disturbance rejection. By using this formulation, we derive exact expressions for the linear time invariant (LTI) controller that achieves the infimal SNR under the effect of time-delay and additive coloured noise. We then quantify the infimal SNR required for both stabilisation and input disturbance rejection for a relative degree one, minimum phase plant and a memoryless Gaussian channel.
- Subject
- continuous time systems; delays; discrete time systems; feedback; invariance; linear quadratic Gaussian control; optimal control; signal processing; stability; telecommunication channels
- Identifier
- http://hdl.handle.net/1959.13/45048
- Identifier
- uon:5987
- Identifier
- ISBN:9781424420780
- Language
- eng
- Full Text
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