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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© 2013 Springer-Verlag London
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Paganini, F. (2013). Robust ℋ 2 Performance in Feedback Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_164-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_164-1
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