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Nonsmooth μ synthesis

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2 Author(s)
Apkarian, P. ; Control Syst. Dept., Univ. Paul Sabatier, Toulouse, France ; Hoang Duong Tuan

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 code for structured H synthesis is made available through the MATLAB R2010b Prerelease, Robust Control Toolbox Version 3.5 developed by The MathWorks, Inc.

Published in:

Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on

Date of Conference:

7-10 Dec. 2010

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