The Vinnicombe Metric For Nonlinear Operators
Anderson, Brian; Brinsmead, Thomas; De Bruyne, Franky
This paper describes an extension of the Vinnicombe metric on linear operators to a pseudometric on nonlinear operators. A metric for finite-dimensional time-varying operators is shown to be capable of guaranteeing stability and performance robustness and reduces to the standard Vinnicombe metric for the time-invariant operator case, which is known to be less conservative than the gap metric. The analysis exploits the time-varying operator equivalents of unstable poles and normalized coprime...[Show more]
|Collections||ANU Research Publications|
|Source:||IEEE Transactions on Automatic Control|
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