Sensitivity trade-offs for multivariable plants
- 1 December 1984
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 305-310
- https://doi.org/10.1109/cdc.1984.272362
Abstract
This paper gives a characterization of the smallest upper bound on the norm of the sensitivity matrix over a frequency interval, with the constraint that the norm remain bounded at all frequencies. The matrix Nevanlinna-Pick interpolation theory is applied to give a necessary and sufficient condition for the existence of a sensitivity matrix meeting the upper bound conditions on the jω-axis, and the matrix Nevanlinna-Pick algorithm is used to compute the bounds. A scalar example is also presented to demonstrate the trade-offs between the bounds inside and outside a given operating frequency band.Keywords
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