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Unformatted text preview: Skew Mu Toolbox (SMT): a presentation G. Ferreres and J-M. Biannic ONERA-CERT / DCSD BP 4025, F-31055 Toulouse Cedex 4 [email protected], [email protected] August 2003 Abstract The aim of this freeware is to provide computational μ and skew μ methods for analysing the robust stability and performance properties of an uncertain closed loop, subject to LTI parametric uncertainties, neglected dynamics and to some extent uncer- tain time-delays. It could also be considered as a software complement to the book in  (G. Ferreres, A practical approach to robustness analysis with aeronautical applica- tions, Kluwer Academic/Plenum Publishers, 1999). This toolbox includes basic routines to compute upper and lower bounds of classical but also skew μ , for both complex and real uncertainties. Several types of algorithms (exponential-time and polynomial-time) are made available. Unlike most other available robustness analysis tools, this toolbox also contains fully automated procedures which allows a non spet to obtain guaran- teed stability or performance robustness margins. Finally, different realistic engineering applications are included (missile, rigid and flexible aircraft, telescope mock-up), which illustrates the efficiency and the reliability of the proposed tools. Available on the web pages http://www.cert.fr/dcsd/idco/perso/Biannic/mypage.html and http://www.cert.fr/dcsd/idco/perso/Ferreres/index.html LICENSE AGREEMENT, DISCLAIMER: • You are free to use any of the files here for personal or academic use. The express permission of the author is required for commercial use. • You can redistribute the toolbox and its manual without modification provided that it is for a non commercial purpose. Redistribution in any commercial form including CD-ROM or any other media is hereby forbidden, unless with the express written permission of the author. • Neither the author nor ONERA accept any responsibility or liability with regard to this software that is licensed on an ”as is” basis. There will be no duty on author or ONERA to correct any errors or defects in the software. 1 2 1 Introduction Acronyms : LHP (Left Half Plane), LFR (Linear Fractional Representation), LFT (Linear Frac- tional Transformation), LTI (Linear Time Invariant), RHP (Right Half Plane), s.s.v. (struc- tured singular value). The aim of this freeware is to provide computational μ and skew μ methods for analysing the robustness properties of an uncertain closed loop, subject to LTI parametric uncertainties, ne- glected dynamics and uncertain time-delays. Consider a closed loop subject to different model uncertainties, and assume that the nominal closed loop (i.e. without model uncertainties) is asymptotically stable or more generally satisfies a stability or performance criterion. The issue is to estimate the robustness margin, i.e. the maximal amount of model uncertainties for which the closed loop is stable or satisfies this criterion....
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This note was uploaded on 02/04/2012 for the course ECE 445 taught by Professor Hert during the Spring '11 term at Maryland.
- Spring '11