Open AccessQuality‐by‐design by skewed spherical structured singular value
Author(s) -
Kishida Masako,
Braatz Richard D.
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.1235
Subject(s) - singular value , ellipsoid , set (abstract data type) , norm (philosophy) , mathematics , quality (philosophy) , value (mathematics) , mathematical optimization , computer science , control theory (sociology) , algorithm , control (management) , artificial intelligence , statistics , philosophy , eigenvalues and eigenvectors , physics , epistemology , quantum mechanics , astronomy , political science , law , programming language
This study develops numerical algorithms to compute an ellipsoidal set of input parameters, called a design space, that ensures that the system outputs lie within a set of design specifications in quality‐by‐design . The algorithm is based on a proposed skewed spherical structured singular value ν s , for which this study derives upper bounds and proves the (scaled) main loop theorems and small‐gain theorem for the Frobenius norm. Three examples are included to illustrate applications of the numerical algorithms.