A Robust Kalman Conjecture For First-Order Plants
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Date
2012
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Publisher
7th IFAC Symposium on Robust Control Design The International Federation of Automatic Control
Abstract
A robust Kalman conjecture is defined for the robust Lur’e problem. Specifically,
it is conjectured that the nonlinearity’s slope interval for which robust absolute stability is
guaranteed corresponds to the robust interval of the uncertain plant. We verify this robust
Kalman conjecture for first-order plants perturbed by various norm-bounded unstructured
uncertainties. The analysis classifies the appropriate stability multipliers required for verification
in these cases. Robust control of Lur’e-type nonlinear systems satisfying this novel conjecture
can therefore be designed using linear robust control methods.
Description
Staff Publication