Stability robustness of linear systems to real parametric perturbations

1 January 1990

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

p. 1247-1248 vol.3
https://doi.org/10.1109/cdc.1990.203808

Abstract

Linear time-invariant systems subject to real, parametric variations are considered. The problem of computing the half-sidelength 1/ mu /sub infinity / of the largest stability hypercube in the parameter space is formulated in a frequency-independent way. The frequency-dependent approach developed in mu analysis is impracticable, because mu /sub infinity / is a discontinuous function of frequency. The authors derive an accurate upper bound for mu /sub infinity /, using block-diagonal scaling of the largest singular value of a real, frequency-independent matrix M. The optimal scaling is found using quasi-convex optimization. A numerical example illustrates the method.

Keywords

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