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Stability margins of diagonally perturbed multivariable feedback systems

Stability margins of diagonally perturbed multivariable feedback systems

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For diagonally perturbed linear time-invariant multivariable feedback systems, the problem of finding an improved characterisation of the stability margin is examined. A readily computable lower bound for diagonally perturbed systems is developed using Perron-Frobenius non-negative matrix results. The present theory improves upon the existing singular-value stability-margin theory, providing a simple constructive method for determining previously unspecified norm weighting parameters (i.e. scaling factors) so as to minimise the conservativeness of stability-margin bounds.

http://iet.metastore.ingenta.com/content/journals/10.1049/ip-d.1982.0054
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