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State‐space µ analysis for an experimental drive‐by‐wire vehicle
Author(s) -
Halton M.,
Hayes M. J.,
Iordanov P.
Publication year - 2008
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1322
Subject(s) - infimum and supremum , singular value , robustness (evolution) , parametric statistics , mathematics , state space , singular solution , range (aeronautics) , control theory (sociology) , computer science , mathematical optimization , algorithm , mathematical analysis , engineering , statistics , artificial intelligence , physics , gene , aerospace engineering , biochemistry , eigenvalues and eigenvectors , chemistry , control (management) , quantum mechanics
This paper considers the application of the skewed structured singular value to the robust stability of systems subject to strictly real parametric uncertainty. Three state‐space formulations that counteract the discontinuous nature of this problem are detailed. It is shown that the calculation of the supremum of the structured singular value over a frequency range using these formulations transforms into a single skewed structured singular value calculation. Similar to the structured singular value, the exact calculation of the skewed structured singular value is an NP‐hard problem. In this work, two efficient algorithms that determine upper and lower bounds on the skewed structured singular value are presented. These algorithms are critically assessed using a series of robustness analysis tests on a safety‐critical experimental drive‐by‐wire vehicle. Copyright © 2008 John Wiley & Sons, Ltd.