Nonsmooth µ‐synthesis |
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| Authors: | Pierre Apkarian |
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| Affiliation: | 1. ONERA‐CERT, Centre d'études et de recherches de Toulouse, Control System Department, 2 av. Edouard Belin, 31055 Toulouse, France;2. Institut de Mathématiques, Université Paul Sabatier, Toulouse, France |
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| Abstract: | We revisit robust complex‐ and mixed‐ µ‐synthesis problems based on upper bounds and show that they can be recast as specially structured controller design programs. The proposed reformulations suggest a streamlined handling of µ‐synthesis problems using recently developed (local) nonsmooth optimization methods, where both scalings or multipliers and a controller of given structure are obtained simultaneously. A first cut of the nonsmooth programming software for structured H∞ synthesis is made available through the MATLAB R2010b Prerelease, Robust Control Toolbox Version 3.5 developed by The MathWorks, Inc. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | µ ‐synthesis structured controllers mixed µ NP‐hard problems |
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