Robustness in the Presence of Joint Parametric Uncertainty and Unmodeled Dynamics.
Fan, Michael K-H.
Doyle, John C.
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It is shown that, in the case of joint real parametric and complex uncertainty, Doyle's structured singular value can be obtained as the solution of a smooth constrained optimization problem. While this problem may have local maxima, an improved computable upper bound to the structured singular value is derived, leading to a sufficient condition for robust stability and performance.