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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/804959

Title
Output feedback sensitivity functions under signal to noise ratio constraint
Author/Creator
Rojas, A. J.;  Braslavsky, J. H.;  Middleton, R. H.
Description
We analyse the control output feedback sensitivity function which results from imposing the minimal signal-to-noise ratio requirement needed for stabilisability. The signal to noise ratio constraint used here includes the effect of a band limited, additive coloured Gaussian noise communication link and a (non) minimum phase unstable continuous (discrete) linear time invariant (LTI) plant with time delay. Target performance is introduced in a form that directly implies an additional term in the required SNR compared to the case of stabilisability only. In a first approach performance is sought as output disturbance rejection giving guaranteed reference tracking at zero frequency (integral action) and compensation for perturbations over a range of frequencies. It is noted that the resulting additional cost can be made vanishingly small by making the closed loop arbitrarily slow. In a second approach we define frequency bounds for the magnitude of the output sensitivity function. These bounds will guarantee low error reference tracking and rejection of disturbances over a non trivial range of frequencies. Based on this, a lower bound for the required extra SNR that satisfies the mentioned sensitivity magnitude bounds is proposed and its tightness discussed.
Relation
2007 American Control Conference (ACC '07). Proceedings of the 2007 American Control Conference (New York 9-13 July, 2007) p. 287-292
Publisher Link
http://dx.doi.org/10.1109/ACC.2007.4282601
Date
2007
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Keyword(s)
Gaussian noise;  continuous systems;  delays;  discrete systems;  feedback;  linear systems;  sensitivity analysis;  stability
Resource Type
conference paper
Identifier
http://hdl.handle.net/1959.13/804959
Identifier
ISBN:1424409888
Identifier
ISSN:0743-1619
Language
eng
Reviewed
Reviewed
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"Output feedback sensitivity functions under signal to noise ratio constraint"
 
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