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Nonsmooth \(\mu\)-synthesis. (English) Zbl 1227.93043
Summary: We revisit robust complex- and mixed-\(\mu\)-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 \(\mu\)-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 \(H_{\infty }\) synthesis is made available through the MATLAB R2010b Prerelease, Robust Control Toolbox Version 3.5 developed by The MathWorks, Inc.

MSC:
93B50 Synthesis problems
93B51 Design techniques (robust design, computer-aided design, etc.)
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