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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...
A new design methodology inspired by dynamic inversion techniques is proposed in this paper. It combines partially linearizing inner-loops with structured and robust outer-loops, which are designed by a non-smooth multi-model H∞ optimization approach. The proposed methodology also includes a robustness analysis scheme providing worst-case configurations, which are then used to enrich the bank of design...
This paper presents a detailed comparison of the most significant methods developed to compute lower bounds on the structured singular value. The objective is to characterize the behavior of these robustness analysis tools on the basis of a common framework constituted by a wide set of various real-world applications.
This paper reviews a set of μ-analysis based tools developed by the authors during the last decade to evaluate the robustness properties of high-dimensional linear plants subject to numerous time-invariant uncertainties. These tools allow to compute both upper and lower bounds on the robust stability margin, the worst-case H∞ performance level, as well as the traditional gain, phase, modulus and time-delay...
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