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An algorithm for computing and validating the multiplier based μ upper bound of Fu and Barabanov (1997) on large frequency intervals is developed in this paper. It avoids the use of a frequency grid and removes the risk of missing a critical frequency. The μ-sensitivities are also introduced as a way to evaluate which uncertainties are worth considering when optimizing the multiplier. This allows...
The analysis library of the new SMAC Toolbox for Matlab implements a set of μ-analysis based tools to evaluate the robustness properties of linear time-invariant systems affected by time-invariant uncertainties. These tools allow to compute both lower and upper bounds on the (skewed) robust stability margin, the worst-case H∞ performance level, as well as the worst-case gain, phase, modulus and time-delay...
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