Abstract
This entry discusses an important compromise in feedback design: reconciling the superior performance characteristics of the \(\mathcal {H}_{2}\) optimization criterion, with robustness requirements expressed through induced norms such as \(\mathcal {H}_{\infty }\). The fact that both criteria have frequency-domain characterizations and involve similar state-space machinery motivated many researchers to seek an adequate combination. We review here robust \(\mathcal {H}_{2}\) analysis methods based on convex optimization developed in the 1990s and comment on their implications for controller synthesis.
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Paganini, F. (2021). Robust H2 Performance in Feedback Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_164
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DOI: https://doi.org/10.1007/978-3-030-44184-5_164
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