- Title
- Output feedback sensitivity functions under signal to noise ratio constraint
- Creator
- Rojas, A. J.; Braslavsky, J. H.; Middleton, R. H.
- 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
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2007
- 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.
- Subject
- Gaussian noise; continuous systems; delays; discrete systems; feedback; linear systems; sensitivity analysis; stability
- Identifier
- http://hdl.handle.net/1959.13/804959
- Identifier
- uon:6768
- Identifier
- ISBN:1424409888
- Identifier
- ISSN:0743-1619
- Language
- eng
- Full Text
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